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Search Results (408)

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12 pages, 5482 KiB  
Communication
Array Radar Three-Dimensional Forward-Looking Imaging Algorithm Based on Two-Dimensional Super-Resolution
by Jinke Dai, Weijie Sun, Xinrui Jiang and Di Wu
Sensors 2024, 24(22), 7356; https://doi.org/10.3390/s24227356 (registering DOI) - 18 Nov 2024
Abstract
Radar imaging is a technology that uses radar systems to generate target images. It transmits radio waves, receives the signal reflected back by the target, and realizes imaging by analyzing the target’s position, shape, and motion information. The three-dimensional (3D) forward-looking imaging of [...] Read more.
Radar imaging is a technology that uses radar systems to generate target images. It transmits radio waves, receives the signal reflected back by the target, and realizes imaging by analyzing the target’s position, shape, and motion information. The three-dimensional (3D) forward-looking imaging of missile-borne radar is a branch of radar imaging. However, owing to the limitation of antenna aperture, the imaging resolution of real aperture radar is restricted. By implementing the super-resolution techniques in array signal processing into missile-borne radar 3D forward-looking imaging, the resolution can be further improved. In this paper, a 3D forward-looking imaging algorithm based on the two-dimensional (2D) super-resolution algorithm is proposed for missile-borne planar array radars. In the proposed algorithm, a forward-looking planar array with scanning beams is considered, and each range-pulse cell in the received data is processed one by one using a 2D super-resolution method with the error function constructed according to the weighted least squares (WLS) criterion to generate a group of 2D spectra in the azimuth-pitch domain. Considering the lack of training samples, the super-resolution spectrum of each range-pulse cell is estimated via adaptive iteration processing only with one sample, i.e., the cell under process. After that, all the 2D super-resolution spectra in azimuth-pitch are accumulated according to the changes in instantaneous beam centers of the beam scanning. As is verified by simulation results, the proposed algorithm outperforms the real aperture imaging method in terms of azimuth-pitch resolution and can obtain 3D forward-looking images that are of a higher quality. Full article
(This article belongs to the Special Issue Recent Advances in Radar Imaging Techniques and Applications)
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Figure 1
<p>Distribution of the array elements.</p>
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<p>Angular division of the observed region.</p>
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<p>Signal processing flow.</p>
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<p>Point targets distribution.</p>
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<p>Simulation results of the point targets. (<b>a</b>) Real beam method. (<b>b</b>) 2D-IAA.</p>
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<p>Simulation results in the range profile of <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>=</mo> <mn>1000</mn> <mo> </mo> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>. (<b>a</b>) Real beam method. (<b>b</b>) 2D-IAA.</p>
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<p>Scene for ship target imaging simulation.</p>
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<p>The 3D imaging results of the scene. (<b>a</b>) Real beam method. (<b>b</b>) 2D-OMP. (<b>c</b>) 2D-IAA.</p>
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<p>The projection of the 3D imaging results in x-y plane. (<b>a</b>) Real beam method. (<b>b</b>) 2D-OMP. (<b>c</b>) 2D-IAA.</p>
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<p>The section of the 3D imaging results at <math display="inline"><semantics> <mrow> <mi>x</mi> <mo>=</mo> <mo>−</mo> <mn>25</mn> <mo> </mo> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>. (<b>a</b>) Real beam method. (<b>b</b>) 2D-OMP. (<b>c</b>) 2D-IAA.</p>
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21 pages, 14998 KiB  
Article
Anti-Maneuvering Repeater Jamming Using Up- and Down-Chirp Modulation in Spaceborne Synthetic Aperture Radar
by Yu Sha, Xiaoxiao Feng, Tingcun Wei, Jiang Du and Weidong Yu
Remote Sens. 2024, 16(22), 4260; https://doi.org/10.3390/rs16224260 - 15 Nov 2024
Viewed by 337
Abstract
With the continuous development of synthetic aperture radar (SAR) jamming technology, low-power maneuvering repeater jammers are now flexible and can be located on multiple unmanned aerial vehicles (UAVs) and unmanned vehicles (UVs) at the same time, which greatly increases the difficulty of the [...] Read more.
With the continuous development of synthetic aperture radar (SAR) jamming technology, low-power maneuvering repeater jammers are now flexible and can be located on multiple unmanned aerial vehicles (UAVs) and unmanned vehicles (UVs) at the same time, which greatly increases the difficulty of the anti-maneuvering repeater jamming method for spaceborne SAR. Due to the low-power transmission, the locations of the low-power repeater jammers and the protected areas in the imaged swath are relatively close in distance, while the transmission delay of the jamming is approximately equal to the pulse repetition interval (PRI). According to this phenomenon, an anti-maneuvering repeater jamming method using up- and down-chirp modulation is proposed in this paper. After alternately transmitting up- and down-chirp modulation signals, echoes of the jamming and the protected area are recorded in the same location within the echo-receiving window and are related to different chirp modulations. To remove the jamming echoes, de-chirping and frequency filtering are adopted after echo data segmentation. With jamming interference removal using frequency notch filtering, parts of the spectra corresponding to the desired echoes of the imaged swath are simultaneously removed. To recover the unwanted removed range spectra, linear prediction is introduced to improve the focusing quality. Finally, simulation results on both point and distributed targets validate the proposed anti-maneuvering repeater jamming method by using up- and down-chirp modulation. Full article
(This article belongs to the Section Satellite Missions for Earth and Planetary Exploration)
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Figure 1
<p>The geometric model of spaceborne SAR with three maneuvering repeater jammers.</p>
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<p>Flow chart of maneuvering repeater jamming signal generation.</p>
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<p>Signal distribution characteristics of jamming. (<b>a</b>) Amplitude, (<b>b</b>) Phase.</p>
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<p>The designed interference jamming signal in the time domain. (<b>a</b>) Amplitude, (<b>b</b>) Phase.</p>
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<p>The directly received SAR signal. (<b>a</b>) In the time domain, (<b>b</b>) In the frequency domain.</p>
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<p>The generated jamming data. (<b>a</b>) In the time domain, (<b>b</b>) In the frequency domain.</p>
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<p>SAR raw data and imaging results under different conditions. (<b>a</b>) SAR data without jamming. (<b>b</b>) Imaging result of (<b>a</b>). (<b>c</b>) Conventional SAR raw data with jamming. (<b>d</b>) Imaging result of (<b>c</b>). (<b>e</b>) Up-down-chirp modulation SAR raw data with jamming. (<b>f</b>) Imaging result of (<b>e</b>).</p>
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<p>SAR raw data and imaging results under different conditions. (<b>a</b>) SAR data without jamming. (<b>b</b>) Imaging result of (<b>a</b>). (<b>c</b>) Conventional SAR raw data with jamming. (<b>d</b>) Imaging result of (<b>c</b>). (<b>e</b>) Up-down-chirp modulation SAR raw data with jamming. (<b>f</b>) Imaging result of (<b>e</b>).</p>
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<p>Block diagram of the proposed anti-maneuvering repeater jamming method.</p>
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<p>Echo data segmentation in the range direction.</p>
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<p>Range time-frequency diagrams with range de-chirping and band-pass filtering. (<b>a</b>) Before de-chirping. (<b>b</b>) After de-chirping. (<b>c</b>) After range filtering. (<b>d</b>) After range re-chirping.</p>
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<p>Range time-frequency diagrams with range frequency band-stop filtering and range spectra linear prediction. (<b>a</b>) Before range-matched filtering. (<b>b</b>) After range-matched filtering. (<b>c</b>) After range frequency band-stop filtering. (<b>d</b>) After removing spectrum component estimation.</p>
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<p>Imaging results of point targets. (<b>a</b>) Conventional notch filtering method. (<b>b</b>) With range spectra linear prediction.</p>
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<p>Contours of imaged point-targets. (<b>a</b>) P1 in <a href="#remotesensing-16-04260-f012" class="html-fig">Figure 12</a>a. (<b>b</b>) P2 in <a href="#remotesensing-16-04260-f012" class="html-fig">Figure 12</a>a. (<b>c</b>) P3 in <a href="#remotesensing-16-04260-f012" class="html-fig">Figure 12</a>a. (<b>d</b>) P1 in <a href="#remotesensing-16-04260-f012" class="html-fig">Figure 12</a>b. (<b>e</b>) P2 in <a href="#remotesensing-16-04260-f012" class="html-fig">Figure 12</a>b. (<b>f</b>) P3 in <a href="#remotesensing-16-04260-f012" class="html-fig">Figure 12</a>b.</p>
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<p>Simulation experiments on the distributed imagined scene. (<b>a</b>) A focused SAR image introduced for simulation. (<b>b</b>) Imaging result of the polluted SAR raw data. (<b>c</b>) Imaging result of the polluted SAR raw data after notch filtering without spectra linear prediction. (<b>d</b>) Imaging result of the proposed anti-jamming method with spectra linear prediction.</p>
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<p>Simulation experiments on the distributed imagined scene. (<b>a</b>) A focused SAR image introduced for simulation. (<b>b</b>) Imaging result of the polluted SAR raw data. (<b>c</b>) Imaging result of the polluted SAR raw data after notch filtering without spectra linear prediction. (<b>d</b>) Imaging result of the proposed anti-jamming method with spectra linear prediction.</p>
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<p>Comparison of enlarged area in imaging results of <a href="#remotesensing-16-04260-f014" class="html-fig">Figure 14</a>. (<b>a</b>) Polluted area in <a href="#remotesensing-16-04260-f014" class="html-fig">Figure 14</a>c. (<b>b</b>) Polluted area in <a href="#remotesensing-16-04260-f014" class="html-fig">Figure 14</a>d with spectra linear prediction. (<b>c</b>) Unpolluted area in <a href="#remotesensing-16-04260-f014" class="html-fig">Figure 14</a>c. (<b>d</b>) Polluted area in <a href="#remotesensing-16-04260-f014" class="html-fig">Figure 14</a>d with spectra linear prediction.</p>
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<p>The relationship between the input SJR and the output SJR in the proposed jamming suppression method.</p>
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19 pages, 5557 KiB  
Article
Microwave Coincidence Imaging with Phase-Coded Stochastic Radiation Field
by Hang Lin, Hongyan Liu, Yongqiang Cheng, Ke Xu, Kang Liu and Yang Yang
Remote Sens. 2024, 16(20), 3851; https://doi.org/10.3390/rs16203851 - 16 Oct 2024
Viewed by 709
Abstract
Microwave coincidence imaging (MCI) represents a novel forward-looking radar imaging method with high-resolution capabilities. Most MCI methods rely on random frequency modulation to generate stochastic radiation fields, which introduces the complexity of radar systems and imposes limitations on imaging quality under noisy conditions. [...] Read more.
Microwave coincidence imaging (MCI) represents a novel forward-looking radar imaging method with high-resolution capabilities. Most MCI methods rely on random frequency modulation to generate stochastic radiation fields, which introduces the complexity of radar systems and imposes limitations on imaging quality under noisy conditions. In this paper, microwave coincidence imaging with phase-coded stochastic radiation fields is proposed, which generates spatio-temporally uncorrelated stochastic radiation fields with phase coding. Firstly, the radiation field characteristics are analyzed, and the coding sequences are designed. Then, pulse compression is applied to achieve a one-dimensional range image. Furthermore, an azimuthal imaging model is built, and a reference matrix is derived from the frequency domain. Finally, sparse Bayesian learning (SBL) and alternating direction method of multipliers (ADMM)-based total variation are implemented to reconstruct targets. The methods have better imaging performance at low signal-to-noise ratios (SNRs), as shown by the imaging results and mean square error (MSE) curves. In addition, compared with the SBL and ADMM-based total variation methods based on the direct frequency-domain solution, the proposed method’s computational complexity is reduced, giving it great potential in forward-looking high-resolution scenarios, such as autonomous obstacle avoidance with vehicle-mounted radar and terminal guidance. Full article
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<p>Principle of radar coincidence imaging.</p>
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<p>Wavefront undulations of different bandwidths at the same moment. (<b>a</b>) B = 200 MHz. (<b>b</b>) B = 400 MHz. (<b>c</b>) B = 600 MHz. (<b>d</b>) B = 800 MHz.</p>
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<p>Effective-rank change curves for different influencing factors. (<b>a</b>) Effective-rank change curves at different bandwidths. (<b>b</b>) Effective-rank change curves with different array spacings and numbers of codes.</p>
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<p>Radiation field distribution of chaotic sequences generating cyclic codes.</p>
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<p>Variation in the effective rank corresponding to random codes and chaotic sequences for different imaging times. (<b>a</b>) B = 600 MHz. (<b>b</b>) B = 800 MHz.</p>
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<p>Aircraft point targets.</p>
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<p>SBL imaging results. (<b>a</b>) FM results at 0 dB. (<b>b</b>) FM results at 5 dB. (<b>c</b>) AziPM results at 0 dB. (<b>d</b>) AziPM results at 5 dB.</p>
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<p>Azimuthal dimensional slices at 0 dB. (<b>a</b>) FM method. (<b>b</b>) AziPM method.</p>
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<p>MSE curves of FM and AziPM methods with different modulation counts: (<b>a</b>) 16 modulations, (<b>b</b>) 48 modulations, (<b>c</b>) 64 modulations, (<b>d</b>) 96 modulations.</p>
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<p>MSE curves of FM and AziPM methods with different modulation counts: (<b>a</b>) 16 modulations, (<b>b</b>) 48 modulations, (<b>c</b>) 64 modulations, (<b>d</b>) 96 modulations.</p>
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<p>Imaging results with different codes at 0 dB. (<b>a</b>) Cyclic code. (<b>b</b>) Random code.</p>
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<p>MSE curves of cyclic code and random code methods.</p>
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<p>Imaging results for different targets. (<b>a</b>–<b>c</b>) Targets. (<b>d</b>–<b>f</b>) Imaging results at 0 dB. (<b>g</b>–<b>i</b>) Imaging results at 5 dB.</p>
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<p>ADMM total variation imaging results. (<b>a</b>,<b>c</b>,<b>e</b>) Imaging results at 0 dB. (<b>b</b>,<b>d</b>,<b>f</b>) Imaging results at 5 dB.</p>
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<p>MSE curves for different methods.</p>
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<p>Comparison of runtimes of different methods.</p>
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18 pages, 1657 KiB  
Technical Note
Emitter Signal Deinterleaving Based on Single PDW with Modulation-Hypothesis-Augmented Transformer
by Huajun Liu, Longfei Wang and Gan Wang
Remote Sens. 2024, 16(20), 3830; https://doi.org/10.3390/rs16203830 - 15 Oct 2024
Viewed by 492
Abstract
Radar emitter signal deinterleaving based on pulse description words (PDWs) is a challenging task in the field of electronic warfare because of the parameter sparsity and uncertainty of PDWs. In this paper, a modulation-hypothesis-augmented Transformer model is proposed to identify emitters from a [...] Read more.
Radar emitter signal deinterleaving based on pulse description words (PDWs) is a challenging task in the field of electronic warfare because of the parameter sparsity and uncertainty of PDWs. In this paper, a modulation-hypothesis-augmented Transformer model is proposed to identify emitters from a single PDW with an end-to-end manner. Firstly, the pulse features are enriched by the modulation hypothesis mechanism to generate I/Q complex signals from PDWs. Secondly, a multiple-parameter embedding method is proposed to expand the signal discriminative features and to enhance the identification capability of emitters. Moreover, a novel Transformer deep learning model, named PulseFormer and composed of spectral convolution, multi-layer perceptron, and self-attention based basic blocks, is proposed for discriminative feature extraction, emitter identification, and signal deinterleaving. Experimental results on synthesized PDW dataset show that the proposed method performs better on emitter signal deinterleaving in complex environments without relying on the pulse repetition interval (PRI). Compared with other deep learning methods, the PulseFormer performs better in noisy environments. Full article
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<p>The diagram of Transformer-based signal deinterleaving.</p>
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<p>The architecture of the PulseFormer model.</p>
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<p>Components of the PulseFormer model: (<b>a</b>) SP-Conv; (<b>b</b>) MHSA; (<b>c</b>) MLP.</p>
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<p>Histogram visualization of different features in the first experiment: (<b>a</b>) PW; (<b>b</b>) CF; (<b>c</b>) PA; (<b>d</b>) DOA.</p>
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<p>Histogram visualization of different features in the second experiment: (<b>a</b>) PW; (<b>b</b>) CF; (<b>c</b>) PA; (<b>d</b>) DOA.</p>
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<p>The confusion matrix w/w.o. multiple-parameter embedding. (<b>a</b>) Modulation-hypothesis augmentation. (<b>b</b>) Modulation-hypothesis augmentation with multiple-parameter embedding.</p>
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<p>The t-SNE visualization shows the high-dimensional feature distribution predicted by our model under the modulation-hypothesis augmentation methods. (<b>a</b>) Without multiple-parameter embedding. (<b>b</b>) With multiple-parameter embedding.</p>
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<p>Performance comparison under different noise conditions.</p>
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<p>Performance comparison under pulse loss.</p>
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24 pages, 2630 KiB  
Article
The Research of Intra-Pulse Modulated Signal Recognition of Radar Emitter under Few-Shot Learning Condition Based on Multimodal Fusion
by Yunhao Liu, Sicun Han, Chengjun Guo, Jiangyan Chen and Qing Zhao
Electronics 2024, 13(20), 4045; https://doi.org/10.3390/electronics13204045 - 14 Oct 2024
Viewed by 737
Abstract
Radar radiation source recognition is critical for the reliable operation of radar communication systems. However, in increasingly complex electromagnetic environments, traditional identification methods face significant limitations. These methods often struggle with high noise levels and diverse modulation types, making it difficult to maintain [...] Read more.
Radar radiation source recognition is critical for the reliable operation of radar communication systems. However, in increasingly complex electromagnetic environments, traditional identification methods face significant limitations. These methods often struggle with high noise levels and diverse modulation types, making it difficult to maintain accuracy, especially when the Signal-to-Noise Ratio (SNR) is low or the available training data are limited. These difficulties are further intensified by the necessity to generalize in environments characterized by a substantial quantity of noisy, low-quality signal samples while being constrained by a limited number of desirable high-quality training samples. To more effectively address these issues, this paper proposes a novel approach utilizing Model-Agnostic Meta-Learning (MAML) to enhance model adaptability in few-shot learning scenarios, allowing the model to quickly learn with limited data and optimize parameters effectively. Furthermore, a multimodal fusion neural network, DCFANet, is designed, incorporating residual blocks, squeeze and excitation blocks, and a multi-scale CNN, to fuse I/Q waveform data and time–frequency image data for more comprehensive feature extraction. Our model enables more robust signal recognition, even when the signal quality is severely degraded by noise or when only a few examples of a signal type are available. Testing on 13 intra-pulse modulated signals in an Additive White Gaussian Noise (AWGN) environment across SNRs ranging from −20 to 10 dB demonstrated the approach’s effectiveness. Particularly, under a 5way5shot setting, the model achieves high classification accuracy even at −10dB SNR. Our research underscores the model’s ability to address the key challenges of radar emitter signal recognition in low-SNR and data-scarce conditions, demonstrating its strong adaptability and effectiveness in complex, real-world electromagnetic environments. Full article
(This article belongs to the Special Issue Digital Signal Processing and Wireless Communication)
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<p>Part of the time–frequency image of the pulse-modulated signal: (<b>a</b>) Barker; (<b>b</b>) Costas; (<b>c</b>) LFM; (<b>d</b>) Frank; (<b>e</b>) NS; (<b>f</b>) P2; (<b>g</b>) T4.</p>
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<p>MAML optimization algorithm framework flow.</p>
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<p>Basic structure of residual network.</p>
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<p>Principle of SE channel attention mechanism, where <span class="html-italic">H</span>, <span class="html-italic">W</span> and <span class="html-italic">C</span> represent the height, width, and channel dimensions of the input feature image <math display="inline"><semantics> <mrow> <mi>f</mi> <mi>e</mi> <mi>a</mi> <mi>t</mi> <mi>u</mi> <mi>r</mi> <msub> <mi>e</mi> <mi>i</mi> </msub> </mrow> </semantics></math>, respectively.</p>
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<p>SE-ResNet module.</p>
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<p>The 1D MSCNN structure flow.</p>
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<p>Technical process framework of multimodal fusion model.</p>
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<p>Costas time–frequency images at −2 dB from two different validation sets: (<b>a</b>) Costas time–frequency image from <span class="html-italic">D</span>; (<b>b</b>) Costas time–frequency image from <math display="inline"><semantics> <msubsup> <mi>D</mi> <mrow> <mi>val</mi> </mrow> <mi>Z</mi> </msubsup> </semantics></math>.</p>
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<p>Part of the time–frequency image of the pulse-modulated signal: (<b>a</b>) the accuracy rate on <math display="inline"><semantics> <msub> <mi>D</mi> <mi>val</mi> </msub> </semantics></math> under each SNR; (<b>b</b>) the accuracy rate on <math display="inline"><semantics> <msubsup> <mi>D</mi> <mrow> <mi>val</mi> </mrow> <mi>Z</mi> </msubsup> </semantics></math> under each SNR.</p>
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<p>Influence of MAML on model recognition accuracy under different sample sizes: (<b>a</b>) recognition accuracy rate of ResNet18-MAML on <math display="inline"><semantics> <msub> <mi>D</mi> <mi>val</mi> </msub> </semantics></math> under different sample sizes; (<b>b</b>) recognition accuracy rate of ResNet18-MAML on <math display="inline"><semantics> <msubsup> <mi>D</mi> <mrow> <mi>val</mi> </mrow> <mi>Z</mi> </msubsup> </semantics></math> under different sample sizes.</p>
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<p>The relationship between recognition accuracy and SNR of different models in different modes. (<b>a</b>) recognition accuracy of each method on <math display="inline"><semantics> <msub> <mi>D</mi> <mi>val</mi> </msub> </semantics></math>. (<b>b</b>) recognition accuracy rate of each method on <math display="inline"><semantics> <msubsup> <mi>D</mi> <mrow> <mi>val</mi> </mrow> <mi>Z</mi> </msubsup> </semantics></math>.</p>
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<p>Meta-validation classification confusion matrix on <math display="inline"><semantics> <msubsup> <mi>D</mi> <mrow> <mi>val</mi> </mrow> <mi>Z</mi> </msubsup> </semantics></math> for different SNRs: (<b>a</b>) Meta-validation classification under SNR = −20 dB, sampling categories: LFM, P1, P2, T3, Frank; (<b>b</b>) Meta-validation classification under SNR = −10 dB, sampling categories: Costas, Rect, LFM, T3, T4; (<b>c</b>) Meta-validation classification under SNR = 0 dB, sampling categories: Barker, Rect, T1, P3, P4.</p>
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<p>High-dimensional feature vector mapping of DCFANet: (<b>a</b>) feature vector mapping across all SNRs; (<b>b</b>) feature vector mapping for SNRs under −10 dB; (<b>c</b>) feature vector mapping for SNRs above −2 dB.</p>
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<p>t-SNE visualization of <math display="inline"><semantics> <msubsup> <mi>D</mi> <mrow> <mi>val</mi> </mrow> <mi>Z</mi> </msubsup> </semantics></math>: (<b>a</b>) t-SNE visualization of the time–frequency image modality; (<b>b</b>) t-SNE visualization of the I/Q waveform sequence modality.</p>
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17 pages, 2716 KiB  
Article
Disentangled Representation Learning for Robust Radar Inter-Pulse Modulation Feature Extraction and Recognition
by Luyao Zhang, Mengtao Zhu, Ziwei Zhang and Yunjie Li
Remote Sens. 2024, 16(19), 3585; https://doi.org/10.3390/rs16193585 - 26 Sep 2024
Viewed by 592
Abstract
Modern Multi-Function Radars (MFRs) are sophisticated sensors that are capable of flexibly adapting their control parameters in transmitted pulse sequences. In complex electromagnetic environments, efficiently and accurately recognizing the inter-pulse modulations of non-cooperative radar pulse sequences is a key step for modern Electronic [...] Read more.
Modern Multi-Function Radars (MFRs) are sophisticated sensors that are capable of flexibly adapting their control parameters in transmitted pulse sequences. In complex electromagnetic environments, efficiently and accurately recognizing the inter-pulse modulations of non-cooperative radar pulse sequences is a key step for modern Electronic Support (ES) systems. Existing recognition methods focus more on algorithmic designs, such as neural network structure designs, to improve recognition performance. However, in open electromagnetic environments with increased flexibility in radar transmission, these methods would suffer performance degradation due to domain shifts between training and testing datasets. To address this issue, this study proposes a robust radar inter-pulse modulation feature extraction and recognition method based on disentangled representation learning. At first, inspired by the Representation Learning Theory (RLT), the received radar pulse sequences can be disentangled into three explanatory factors related to (i) modulation types, (ii) modulation parameters, and (iii) measurement characteristics, such as measurement noise. Then, an explainable radar pulse sequence disentanglement network is proposed based on auto-encoding variational Bayes. The features extracted through the proposed method can effectively represent the key latent factors related to recognition tasks and maintain performance under domain shift conditions. Experiments on both ideal and non-ideal situations demonstrate the effectiveness, robustness, and superiority of the proposed method in comparison with other methods. Full article
(This article belongs to the Special Issue Recent Advances in Nonlinear Processing Technique for Radar Sensing)
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Graphical abstract

Graphical abstract
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<p>Different inter-pulse modulation types for PRI. (<b>a</b>) Constant. (<b>b</b>) Stagger. (<b>c</b>) Jittered. (<b>d</b>) Sliding. (<b>e</b>) Dwell and switch. (<b>f</b>) Periodic.</p>
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<p>The procedure of radar PRI sequence disentanglement through the LiSTaR method.</p>
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<p>Network structure in LiSTaR.</p>
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<p>T-SNE visualization of learned representations for four methods. (<b>a</b>) LiSTaR. (<b>b</b>) AE. (<b>c</b>) VAE. (<b>d</b>) LSTMAE.</p>
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<p>Confusion matrix of the recognition performance for four methods in three different data domain shift scenarios.</p>
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<p>Confusion matrix of the recognition performance for four methods in three different data domain shift scenarios.</p>
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<p>Radar PRI modulation recognition performance in non-ideal situations for four methods.</p>
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30 pages, 4085 KiB  
Article
A Highly Efficient Compressive Sensing Algorithm Based on Root-Sparse Bayesian Learning for RFPA Radar
by Ju Wang, Bingqi Shan, Song Duan and Qin Zhang
Remote Sens. 2024, 16(19), 3564; https://doi.org/10.3390/rs16193564 - 25 Sep 2024
Viewed by 451
Abstract
Off-grid issues and high computational complexity are two major challenges faced by sparse Bayesian learning (SBL)-based compressive sensing (CS) algorithms used for random frequency pulse interval agile (RFPA) radar. Therefore, this paper proposes an off-grid CS algorithm for RFPA radar based on Root-SBL [...] Read more.
Off-grid issues and high computational complexity are two major challenges faced by sparse Bayesian learning (SBL)-based compressive sensing (CS) algorithms used for random frequency pulse interval agile (RFPA) radar. Therefore, this paper proposes an off-grid CS algorithm for RFPA radar based on Root-SBL to address these issues. To effectively cope with off-grid issues, this paper derives a root-solving formula inspired by the Root-SBL algorithm for velocity parameters applicable to RFPA radar, thus enabling the proposed algorithm to directly solve the velocity parameters of targets during the fine search stage. Meanwhile, to ensure computational feasibility, the proposed algorithm utilizes a simple single-level hierarchical prior distribution model and employs the derived root-solving formula to avoid the refinement of velocity grids. Moreover, during the fine search stage, the proposed algorithm combines the fixed-point strategy with the Expectation-Maximization algorithm to update the hyperparameters, further reducing computational complexity. In terms of implementation, the proposed algorithm updates hyperparameters based on the single-level prior distribution to approximate values for the range and velocity parameters during the coarse search stage. Subsequently, in the fine search stage, the proposed algorithm performs a grid search only in the range dimension and uses the derived root-solving formula to directly solve for the target velocity parameters. Simulation results demonstrate that the proposed algorithm maintains low computational complexity while exhibiting stable performance for parameter estimation in various multi-target off-grid scenarios. Full article
(This article belongs to the Topic Radar Signal and Data Processing with Applications)
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<p>Top-level figure: flowchart of the proposed algorithm.</p>
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<p>The division of labor within the Zynq SoC.</p>
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<p>Detailed results of parameter estimation for targets in S3 using the proposed algorithm: (<b>a</b>) Result of the coarse search. (<b>b</b>) Result of the fine search for T1. (<b>c</b>) Result of the fine search for T2. (<b>d</b>) Result of the fine search for T3. (<b>e</b>) The final result on the range–velocity plane.</p>
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<p>Detailed results for parameter estimation for targets in S4 using the proposed algorithm: (<b>a</b>) Result of the coarse search. (<b>b</b>) Result of the fine search for T1. (<b>c</b>) Result of the fine search for T2. (<b>d</b>) Result of the fine search for T3. (<b>e</b>) The final result on the range–velocity plane.</p>
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<p>Detailed results for parameter estimation for targets in S5 using the proposed algorithm: (<b>a</b>) Result of the coarse search. (<b>b</b>) Result of the fine search for T1. (<b>c</b>) Result of the fine search for T2. (<b>d</b>) Result of the fine search for T3. (<b>e</b>) The final result on the range–velocity plane.</p>
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<p>Algorithm performance under varying SNRs in S3: (<b>a</b>) RMSE for the range dimension. (<b>b</b>) RMSE for the velocity dimension. (<b>c</b>) Success rate for range estimation. (<b>d</b>) Success rate for velocity estimation.</p>
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<p>Algorithm performance under varying numbers of targets: (<b>a</b>) RMSE for the range dimension. (<b>b</b>) RMSE for the velocity dimension. (<b>c</b>) Success rate for range estimation. (<b>d</b>) Success rate for velocity estimation.</p>
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<p>Algorithm performance under varying numbers of iterations: (<b>a</b>) RMSE for the range dimension. (<b>b</b>) RMSE for the velocity dimension. (<b>c</b>) Success rate for range estimation. (<b>d</b>) Success rate for velocity estimation.</p>
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15 pages, 963 KiB  
Article
Automatic Radar Intra-Pulse Signal Modulation Classification Using the Supervised Contrastive Learning
by Jingjing Cai, Yicheng Guo and Xianghai Cao
Remote Sens. 2024, 16(18), 3542; https://doi.org/10.3390/rs16183542 - 23 Sep 2024
Viewed by 671
Abstract
The modulation classification technology for radar intra-pulse signals is important in the electronic countermeasures field. As the high quality labeled radar signals are difficult to be captured in the real applications, the signal modulation classification base on the limited number of labeled samples [...] Read more.
The modulation classification technology for radar intra-pulse signals is important in the electronic countermeasures field. As the high quality labeled radar signals are difficult to be captured in the real applications, the signal modulation classification base on the limited number of labeled samples is playing a more and more important role. To relieve the requirement of the labeled samples, many self-supervised learning (SeSL) models exist. However, as they cannot fully explore the information of the labeled samples and rely significantly on the unlabeled samples, highly time-consuming processing of the pseudo-labels of the unlabeled samples is caused. To solve these problems, a supervised learning (SL) model, using the contrastive learning (CL) method (SL-CL), is proposed in this paper, which achieves a high classification accuracy, even adopting limited number of labeled training samples. The SL-CL model uses a two-stage training structure, in which the CL method is used in the first stage to effectively capture the features of samples, then the multilayer perceptron is applied in the second stage for the classification. Especially, the supervised contrastive loss is constructed to fully exploring the label information, which efficiently increases the classification accuracy. In the experiments, the SL-CL outperforms the comparison models in the situation of limited number of labeled samples available, which reaches 94% classification accuracy using 50 samples per class at 5 dB SNR. Full article
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<p>The architecture of the SL-CL model.</p>
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<p>The structure of the residual block.</p>
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<p>Time-frequency images of 12 types of radar signals.</p>
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<p>Experimental results of the SL-CL model with a varying value of <math display="inline"><semantics> <mi>τ</mi> </semantics></math>.</p>
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<p>Experimental results of the SL-CL model with a varying number of batch size.</p>
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<p>Experimental results of the SL-CL model with a varying number of epochs.</p>
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<p>Classification performances of the SL-CL, SIMCLR and SL-CL-CE models at different SNRs.</p>
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<p>Confusion matrices of the SL-CL model at different SNRs.</p>
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10 pages, 4969 KiB  
Article
A Quasi-Isotropic Probe for High-Power Microwave Field Measurement
by Roman Kubacki, Dariusz Laskowski, Rafał Białek and Marek Kuchta
Sensors 2024, 24(18), 6001; https://doi.org/10.3390/s24186001 - 16 Sep 2024
Viewed by 602
Abstract
In the paper, a new design of a quasi-isotropic antenna for high-power electromagnetic (EM) field measurement is presented, along with its investigation into suitability. The measuring probe is intended for assessing pulsed microwaves, which cannot be measured by available meters due to the [...] Read more.
In the paper, a new design of a quasi-isotropic antenna for high-power electromagnetic (EM) field measurement is presented, along with its investigation into suitability. The measuring probe is intended for assessing pulsed microwaves, which cannot be measured by available meters due to the high value of electric field strength and short pulse duration. The measurement of such a strong field is required according to guidelines for protecting people against microwave fields, especially those emitted by radars. The proposed probe is based on the concept of dipole–diode detection. To enable high-power measurement, the receiving antenna is electrically “small,” allowing diode detection within the diode square-law characteristics range. Additionally, the shortened dipole length minimizes the spatial integration error, which can be significant in the case of microwave measurement. To obtain the desired antenna polarization, a new dipole geometry was proposed. Fulfilling the requirement of measuring all incident EM field polarizations, the receiving antenna was based on three dipoles arranged within a specific “magic” angular arrangement, ensuring a suitable quasi-isotropic radiation pattern. The proposed probe can operate in a frequency range from 1 GHz to 12 GHz. Full article
(This article belongs to the Section Electronic Sensors)
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<p>The dipole–diode schematic structure of an E-field probe.</p>
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<p>Phase integration error as a function of <span class="html-italic">ka</span>.</p>
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<p>(<b>a</b>) Magic angle geometry; (<b>b</b>) diagram of antenna system.</p>
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<p>(<b>a</b>) Antenna system with small dipoles; (<b>b</b>) current flow within the dipole.</p>
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<p>(<b>a</b>) Proposed shape of the dipole with transmission line; (<b>b</b>) current flow in the modified dipole.</p>
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<p>(<b>a</b>) Technical diagram of one segment of the probe; (<b>b</b>) picture of the fabricated probe.</p>
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<p>Probe rotations to determine the radiation pattern; (<b>a</b>) in function of Theta; (<b>b</b>) in function of Phi.</p>
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<p>Probe measurement in an anechoic chamber.</p>
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<p>Simulated and measured antenna pattern at 2.45 GHz as a function of Theta and Phi. The left column shows simulated data, while the right reveals the measurement values.</p>
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<p>Simulated and measured antenna pattern at 2.45 GHz as a function of Theta and Phi. The left column shows simulated data, while the right reveals the measurement values.</p>
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<p>Antenna pattern at 10 GHz.</p>
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30 pages, 5053 KiB  
Review
The Latest Developments in Spaceborne High-Resolution Wide-Swath SAR Systems and Imaging Methods
by Ruizhen Song, Wei Wang and Weidong Yu
Sensors 2024, 24(18), 5978; https://doi.org/10.3390/s24185978 - 14 Sep 2024
Viewed by 936
Abstract
Azimuth resolution and swath width are two crucial parameters in spaceborne synthetic aperture radar (SAR) systems. However, it is difficult for conventional spaceborne SAR to simultaneously achieve high-resolution wide-swath (HRWS) due to the minimum antenna area constraint. To mitigate this limitation, some representative [...] Read more.
Azimuth resolution and swath width are two crucial parameters in spaceborne synthetic aperture radar (SAR) systems. However, it is difficult for conventional spaceborne SAR to simultaneously achieve high-resolution wide-swath (HRWS) due to the minimum antenna area constraint. To mitigate this limitation, some representative HRWS SAR imaging techniques have been investigated, e.g., the azimuth multichannel technique, digital beamforming (DBF) technique, and pulse repetition interval (PRI) variation technique. This paper focus on a comprehensive review of the three techniques with respect to their latest developments. First, some key parameters of HRWS SAR are presented and analyzed to help the reader establish the general concept of SAR. Second, three techniques are introduced in detail, roughly following a simple-to-complex approach, i.e., start with the basic concept, then move to the core principles and classic technical details, and finally report the technical challenges and corresponding solutions. Third, some in-depth insights on the comparison among the three techniques are given. The purpose of this paper is to provide a review and brief perspective on the development of HRWS SAR. Full article
(This article belongs to the Section Sensing and Imaging)
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<p>Schematic of echo timing constraint for spaceborne synthetic aperture radar (SAR). (<b>a</b>) Timing diagram of pulse transmitting and receiving to avoid transmission blockage, where the horizontal axis indicates azimuth time. (<b>b</b>) Timing diagram of pulse transmitting and receiving to avoid nadir echo interference. (<b>c</b>) Timing (diamond) diagram due to transmission blockage (blue strips) and nadir echo (orange strips) versus pulse repetition frequency (PRF).</p>
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<p>Schematic of ambiguity for spaceborne SAR. (<b>a</b>) Schematic of azimuth ambiguity, where the horizontal axis represents the Doppler frequency and the vertical axis represents the azimuth antenna pattern. (<b>b</b>) Schematic of range ambiguity, where the horizontal axis represents the ground range, the vertical axis represents the orbit height, the upper axis of the figure shows the direction of platform movement, and the black stripes are the blind ranges caused by the transmission blockages.</p>
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<p>Schematic diagram of the operation principle for azimuth three-channel SAR, where different colors represent the echo signals of different channels.</p>
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<p>Principle schematic of azimuth multichannel signal reconstruction algorithm by reconstruction filters.</p>
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<p>Effect caused by amplitude and phase errors in azimuth multichannel SAR system, where the left figure shows the azimuth spectrum shift schematic and the right figure shows the corresponding azimuth impulse response results, the blue color indicates the desired signal, and the other colors indicate the ambiguous signal caused by the errors.</p>
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<p>Schematic of transmit and receive signal geometry using digital beamforming (DBF) technique in elevation.</p>
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<p>The general model for echo signal processing using the DBF technique in elevation.</p>
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<p>Finite impulse response (FIR) filtering method to compensate for pulse extension loss (PEL) effect.</p>
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<p>DBF digital processing architecture. (<b>a</b>) Conventional DBF processing architecture. (<b>b</b>) Intermediate-frequency (IF)-DBF processing architecture.</p>
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<p>Schematic of blind range locations. (<b>a</b>) Constant PRI SAR. (<b>b</b>) Varied-PRI SAR.</p>
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<p>Example of linear PRI sequences, where the PRI trend is given on the left and the blind range location is given on the right. (<b>a</b>) Slow PRI change sequence. (<b>b</b>) Fast PRI change sequence. (<b>c</b>) More elaborated PRI sequence.</p>
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<p>Schematic of transmitted and received pulses, the numbers indicate the indexes corresponding to the transmitted pulses in a cycle. (<b>a</b>) Graphical representation of (<a href="#FD28-sensors-24-05978" class="html-disp-formula">28</a>) and (<a href="#FD29-sensors-24-05978" class="html-disp-formula">29</a>). (<b>b</b>) Graphical representation of (<a href="#FD32-sensors-24-05978" class="html-disp-formula">32</a>).</p>
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<p>Example of the normalized autocorrelation function curve for a typical spaceborne SAR azimuth signal.</p>
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21 pages, 6196 KiB  
Article
Unimodular Multi-Input Multi-Output Waveform and Mismatch Filter Design for Saturated Forward Jamming Suppression
by Xuan Fang, Dehua Zhao and Liang Zhang
Sensors 2024, 24(18), 5884; https://doi.org/10.3390/s24185884 - 10 Sep 2024
Viewed by 981
Abstract
Forward jammers replicate and retransmit radar signals back to generate coherent jamming signals and false targets, making anti-jamming an urgent issue in electronic warfare. Jamming transmitters work at saturation to maximize the retransmission power such that only the phase information of the angular [...] Read more.
Forward jammers replicate and retransmit radar signals back to generate coherent jamming signals and false targets, making anti-jamming an urgent issue in electronic warfare. Jamming transmitters work at saturation to maximize the retransmission power such that only the phase information of the angular waveform at the designated direction of arrival (DOA) is retained. Therefore, amplitude modulation of MIMO radar angular waveforms offers an advantage in combating forward jamming. We address both the design of unimodular MIMO waveforms and their associated mismatch filters to confront mainlobe jamming in this paper. Firstly, we design the MIMO waveforms to maximize the discrepancy between the retransmitted jamming and the spatially synthesized radar signal. We formulate the problem as unconstrained non-linear optimization and solve it using the conjugate gradient method. Particularly, we introduce fast Fourier transform (FFT) to accelerate the numeric calculation of both the objection function and its gradient. Secondly, we design a mismatch filter to further suppress the filtered jamming through convex optimization in polynomial time. The simulation results show that for an eight-element MIMO radar, we are able to reduce the correlation between the angular waveform and saturated forward jamming to −6.8 dB. Exploiting this difference, the mismatch filter can suppress the jamming peak by 19 dB at the cost of an SNR loss of less than 2 dB. Full article
(This article belongs to the Section Radar Sensors)
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<p>Flowchart of waveform and mismatch filter design.</p>
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<p>Signal reception and processing model for co-located MIMO radar with spatial synthesis of the waveform and a saturated forward jamming signal in the mainlobe.</p>
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<p>Comparison of waveform performance of each method in 10° for 8 × 128 codes when <span class="html-italic">η</span> = 1. (<b>a</b>) Autocorrelation level; (<b>b</b>) jamming cross-correlation level.</p>
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<p>Comparison of waveform performance of each method in 10° for 8 × 128 codes when <span class="html-italic">η</span> = 10. (<b>a</b>) Autocorrelation level; (<b>b</b>) jamming cross-correlation level.</p>
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<p>Performance comparison for different wave numbers with code length Ns = 128. (<b>a</b>) JCSL of WF0, WF1 and WF2 at different jamming intensities; (<b>b</b>) JCL of WF0, WF1 and WF2 at different jamming intensities at zero lag.</p>
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<p>Performance comparison of the two filters for WF0. (<b>a</b>) The WF0 matched filter; (<b>b</b>) the WF0 mismatch filter.</p>
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<p>Performance comparison of the two filters for WF1. (<b>a</b>)The WF1 matched filter; (<b>b</b>) The WF1 mismatch filter.</p>
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<p>Performance comparison of the two filters for WF2. (<b>a</b>) The WF2 matched filter; (<b>b</b>) the WF2 mismatch filter.</p>
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<p>Comparison of pulse compression outputs with the MF and MMF, of which the input signal is composed of a WF2 angular echo at 100 with χ = 1 V, 5 saturated forward jamming bins at 50, 150, 200, 250 and 300 with the jamming intensity <span class="html-italic">η</span> = 10 V and Gaussian noise with σ2 = 10 dBw.</p>
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26 pages, 15162 KiB  
Article
Research on SAR Active Anti-Jamming Imaging Based on Joint Random Agility of Inter-Pulse Multi-Parameters in the Presence of Active Deception
by Shilong Chen, Lin Liu, Xiaobei Wang, Luhao Wang and Guanglei Yang
Remote Sens. 2024, 16(17), 3303; https://doi.org/10.3390/rs16173303 - 5 Sep 2024
Viewed by 728
Abstract
Synthetic aperture radar (SAR) inter-pulse parameter agility technology involves dynamically adjusting parameters such as the pulse width, chirp rate, carrier frequency, and pulse repetition interval within a certain range; this effectively increases the complexity and uncertainty of radar waveforms, thereby countering active deceptive [...] Read more.
Synthetic aperture radar (SAR) inter-pulse parameter agility technology involves dynamically adjusting parameters such as the pulse width, chirp rate, carrier frequency, and pulse repetition interval within a certain range; this effectively increases the complexity and uncertainty of radar waveforms, thereby countering active deceptive interference signals from multiple dimensions. With the development of active deceptive interference technology, single-parameter agility can no longer meet the requirements, making multi-parameter joint agility one of the main research directions. However, inter-pulse carrier frequency agility can cause azimuth Doppler chirp rate variation, making azimuth compression difficult and compensation computationally intensive, thus hindering imaging. Additionally, pulse repetition interval (PRI) agility leads to non-uniform azimuth sampling, severely deteriorating image quality. To address these issues, this paper proposes a multi-parameter agile SAR imaging scheme based on traditional frequency domain imaging algorithms. This scheme can handle joint agility of pulse width, chirp rate polarity, carrier frequency, and PRI, with relatively low computational complexity, making it feasible for engineering implementation. By inverting SAR images, the echoes with multi-parameter joint agility are obtained, and active deceptive interference signals are added for processing. The interference-suppressed imaging results verify the effectiveness of the proposed method. Furthermore, simulation results of point targets with multiple parameters under the proposed processing algorithm show that the peak sidelobe ratio (PSLR) and integrated sidelobe ratio (ISLR) are improved by 12 dB and 10 dB, respectively, compared to the traditional fixed waveform scheme. Full article
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<p>Schematic diagram of the multi-parameter joint shortcut waveform emission signal.</p>
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<p>Carrier Frequency Shortcut Signal Waveform Schematic.</p>
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<p>Overlap of Echoes from Adjacent Targets in a Carrier Frequency Agile Signal.</p>
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<p>Schematic Diagram of Waveforms for Two Types of Random PRF Agile Signals.</p>
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<p>NUFFT treatment process.</p>
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<p>Schematic Diagram of Waveforms for Frequency Polarity Agile Signals.</p>
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<p>Schematic Diagram of Waveforms for Pulse Width Agile Signals.</p>
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<p>Schematic Diagram of Dense False Target Jamming Echoes.</p>
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<p>Effects of Various Agile Parameters on SAR Imaging.</p>
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<p>Parameter Correction Processing Scheme.</p>
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<p>Schematic Diagram of Point Target Waveform for Carrier Frequency Agile Signal.</p>
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<p>Schematic diagram of single target compensation for carrier frequency agile signal.</p>
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<p>Schematic Diagram of Multi-Target Compensation for Carrier Frequency Agile Signal.</p>
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<p>Schematic diagram of selective main-lobe phase compensation for agile targets.</p>
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<p>Agile inter-pulse waveform parameters: (<b>a</b>) chirp rate polarity; (<b>b</b>) pulse width; (<b>c</b>) carrier frequency; (<b>d</b>) PRF.</p>
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<p>Multi-Parameter Joint Agile Four-Dimensional Space Model.</p>
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<p>Multi-Parameter Joint Agility: Echo to Compression Effect: (<b>a</b>) Point Target Echo Signal of Multi-Parameter Joint Agile Waveform; (<b>b</b>) Point Target Two-Dimensional Focusing Results.</p>
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<p>Imaging Results Comparison of Different Single and Joint Agile Parameters with LFM Signals: (<b>a</b>) Range Imaging Metrics: PSLR, ISLR; (<b>b</b>) Azimuth Imaging Metrics: PSLR, ISLR.</p>
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<p>Illustrative Diagram of Improved Range Metrics During Azimuth Compression.</p>
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<p>Imaging Comparison of LFM and FA-LFM for Adjacent Strong and Weak Targets in Range Direction: (<b>a</b>) Normalized Range Comparison Chart; (<b>b</b>) Actual Range Energy Diagram.</p>
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<p>Imaging Results of LFM and FA-LFM in the Case of Adjacent Strong and Weak Targets: (<b>a</b>) FA-LFM; (<b>b</b>) LFM.</p>
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<p>The inter-pulse multi-parameter agile waveform echoes obtained by inversion from real airborne SAR images: (<b>a</b>) no compensation for agility of chirp; (<b>b</b>) no compensation for agility of pulse width or chirp rate; (<b>c</b>) no compensation for agility of carrier frequency; (<b>d</b>) no compensation for all agile inter pulse waveform parameters; (<b>e</b>) imaging results using LFM signals; (<b>f</b>) compensation for all agile inter pulse waveform parameters according to the flowchart shown in <a href="#remotesensing-16-03303-f009" class="html-fig">Figure 9</a>; (<b>g</b>) real SAR image scene template.</p>
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<p>Comparison of Multi-Scenario Imaging Results of LFM Signals and Agile Signals under Different Algorithms: (<b>a</b>) LFM Signal Using RD Algorithm; (<b>b</b>) Agile Signal with RD Algorithm and Proposed Compensation Module; (<b>c</b>) Agile Signal Using BP Algorithm; (<b>d</b>) LFM Signal Using ω-k Algorithm; (<b>e</b>) Agile Signal with ω-k Algorithm and Proposed Compensation Module.</p>
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<p>Imaging Effects of Different Parameter Agilities Under Dense False Target Jamming: (<b>a</b>) Imaging Results of LFM Signal Under Dense False Target Jamming; (<b>b</b>) Imaging Results of Chirp Rate Polarity Agile Signal Under Dense False Target Jamming; (<b>c</b>) Imaging Results of Pulse Width Agile Signal Under Dense False Target Jamming; (<b>d</b>) Imaging Results of Carrier Frequency Agile Signal Under Dense False Target Jamming; (<b>e</b>) Imaging Results of PRF Agile Signal Under Dense False Target Jamming; (<b>f</b>) Imaging Results of Multi-Parameter Joint Agile Signal Under Dense False Target Jamming.</p>
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<p>The imaging results of two kinds of signals in the face of deception interference of large scene interference: (<b>a</b>) Target Scene; (<b>b</b>) Jamming Template; (<b>c</b>) LFM Signal Imaging Result; (<b>d</b>) Multi-Parameter Joint Agile Signal Imaging Result Under the Proposed Processing Flow.</p>
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<p>The imaging results of two kinds of signals when they face small targets with deception interference: (<b>a</b>) Target Scene; (<b>b</b>) Jamming Template; (<b>c</b>) LFM Signal Imaging Result; (<b>d</b>) Multi-Parameter Joint Agile Signal Imaging Result Under the Proposed Processing Flow.</p>
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26 pages, 27118 KiB  
Article
A Denoising Method Based on DDPM for Radar Emitter Signal Intra-Pulse Modulation Classification
by Shibo Yuan, Peng Li, Xu Zhou, Yingchao Chen and Bin Wu
Remote Sens. 2024, 16(17), 3215; https://doi.org/10.3390/rs16173215 - 30 Aug 2024
Viewed by 633
Abstract
Accurately classifying the intra-pulse modulations of radar emitter signals is important for radar systems and can provide necessary information for relevant military command strategy and decision making. As strong additional white Gaussian noise (AWGN) leads to a lower signal-to-noise ratio (SNR) of received [...] Read more.
Accurately classifying the intra-pulse modulations of radar emitter signals is important for radar systems and can provide necessary information for relevant military command strategy and decision making. As strong additional white Gaussian noise (AWGN) leads to a lower signal-to-noise ratio (SNR) of received signals, which results in a poor classification accuracy on the classification models based on deep neural networks (DNNs), in this paper, we propose an effective denoising method based on a denoising diffusion probabilistic model (DDPM) for increasing the quality of signals. Trained with denoised signals, classification models can classify samples denoised by our method with better accuracy. The experiments based on three DNN classification models using different modal input, with undenoised data, data denoised by the convolutional denoising auto-encoder (CDAE), and our method’s denoised data, are conducted with three different conditions. The extensive experimental results indicate that our proposed method could denoise samples with lower values of the SNR, and that it is more effective for increasing the accuracy of DNN classification models for radar emitter signal intra-pulse modulations, where the average accuracy is increased from around 3 to 22 percentage points based on three different conditions. Full article
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<p>The overall structure of our approach.</p>
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<p>The structure of the proposed U-Net model for denoising.</p>
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<p>The structure of the Resblock.</p>
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<p>The main structure of the time-domain-sequence-based, the frequency-domain-sequence-based, and the TFI-based classification models. Although the input shape and the dimensions for the convolutional blocks for these models are slightly different, all of these three models follow the same basic structure.</p>
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<p>The SNR tendency with different diffusion time steps based on the given <math display="inline"><semantics> <mrow> <msub> <mi>α</mi> <mi>t</mi> </msub> </mrow> </semantics></math>. When the diffusion time step is 0, the SNR of the samples is the original value. As the diffusion time step increases, the SNR of the samples diffused by adding AWGN decreases, and, finally, the values of the SNR are at least lower than −11 dB.</p>
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<p>The accuracy of the DNN classification models based on the dataset without a denoising process, with a denoising process by CDAE, and with a denoising process by our proposed U-Net method.</p>
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<p>The average accuracy based on three types of DNN classification models with Condition 1 to Condition 3.</p>
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<p>The accuracy of the DNN classification models for the samples with SNR of −10 dB in Condition 1 to Condition 3 without a denoising process, with a denoising process by CDAE, and with a denoising process by our method, respectively.</p>
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<p>The confusion matrix of the time-domain-sequence-based DNN classification models without and with a denoising process by our method for the 11 different intra-pulse modulations in Condition 3.</p>
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<p>The confusion matrix of the frequency-domain-sequence-based DNN classification models without and with a denoising process by our method for the 11 different intra-pulse modulations in Condition 3.</p>
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<p>The confusion matrix of the TFI-domain-sequence-based DNN classification models without and with a denoising process by our method for the 11 different intra-pulse modulations in Condition 3.</p>
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<p>The denoising result based on our denoising method for two LFM samples with −10 dB SNR in Condition 1, Condition 2, and Condition 3, respectively. (<b>a</b>) is the relevant result for the first LFM sample. (<b>b</b>) is the relevant result for the second LFM sample. The columns from left to right represent the waveform, the amplitude spectrum, and the heat map of TFI, respectively.</p>
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<p>The classification results of time-domain-sequence-based DNN classification models, frequency-domain-sequence-based DNN classification models, and TFI-based DNN classification models in Condition 1, Condition 2, and Condition 3, respectively, with a different value of <math display="inline"><semantics> <mi>T</mi> </semantics></math>.</p>
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14 pages, 3599 KiB  
Communication
Cascade Clutter Suppression Method for Airborne Frequency Diversity Array Radar Based on Elevation Oblique Subspace Projection and Azimuth-Doppler Space-Time Adaptive Processing
by Rongwei Lu, Yifeng Wu, Lei Zhang and Ziyi Chen
Remote Sens. 2024, 16(17), 3198; https://doi.org/10.3390/rs16173198 - 29 Aug 2024
Viewed by 440
Abstract
Airborne Frequency Diversity Array (FDA) radar operating at a high pulse repetition frequency encounters severe range-ambiguous clutter. The slight frequency increments introduced by the FDA result in angle and range coupling. Under these conditions, conventional space-time adaptive processing (STAP) often exhibits diminished performance [...] Read more.
Airborne Frequency Diversity Array (FDA) radar operating at a high pulse repetition frequency encounters severe range-ambiguous clutter. The slight frequency increments introduced by the FDA result in angle and range coupling. Under these conditions, conventional space-time adaptive processing (STAP) often exhibits diminished performance or fails, complicating target detection. This paper proposes a method combining elevation oblique subspace projection with azimuth-Doppler STAP to suppress range-ambiguous clutter. The method compensates for the quadratic range dependence by analyzing the relationship between elevation frequency and range. It uses an elevation oblique subspace projection technique to construct an elevation adaptive filter, which separates clutter from ambiguous regions. Finally, residual clutter suppression is achieved through azimuth-Doppler STAP, enhancing target detection performance. Simulation results demonstrate that the proposed method effectively addresses range dependence and ambiguity issues, improving target detection performance in complex airborne FDA radar environments. Full article
(This article belongs to the Section Remote Sensing Communications)
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<p>The geometry of the airborne FDA radar.</p>
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<p>The variation in elevation frequency between PA and FDA. (<b>a</b>) PA. (<b>b</b>) FDA without compensation. (<b>c</b>) FDA with compensation.</p>
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<p>Beam response pattern. (<b>a</b>) FDA beam response diagram for the first ambiguous region. (<b>b</b>) PA beam response diagram for the first ambiguous region. (<b>c</b>) FDA beam response diagram for the third ambiguous region. (<b>d</b>) PA beam response diagram for the third ambiguous region. (<b>e</b>) Comparison of the beam response diagram at the 200th range gate for the first range region. (<b>f</b>) Comparison of the beam response diagram at the 200th range gate for the third range region.</p>
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<p>Clutter distribution for first range region. (<b>a</b>) The CBF method. (<b>b</b>) The CBF method and DW compensation. (<b>c</b>) The improved CBF method. (<b>d</b>) The improved CBF method with DW compensation. (<b>e</b>) The proposed method. (<b>f</b>) The proposed method with DW compensation.</p>
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<p>Clutter distribution for third range region. (<b>a</b>) The CBF method. (<b>b</b>) The improved CBF method. (<b>c</b>) The proposed method.</p>
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<p>SCNR loss performance comparison with different processing method versus normalized Doppler frequency. (<b>a</b>) First ambiguous range region. (<b>b</b>) Third ambiguous range region.</p>
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<p>Clutter distribution for third range region in joint horizontal spatial frequency and Doppler frequency domain. (<b>a</b>) The CBF method. (<b>b</b>) The improved CBF method. (<b>c</b>) The proposed method.</p>
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15 pages, 539 KiB  
Article
A Novel Waveform Optimization Method for Orthogonal-Frequency Multiple-Input Multiple-Output Radar Based on Dual-Channel Neural Networks
by Meng Xia, Wenrong Gong and Lichao Yang
Sensors 2024, 24(17), 5471; https://doi.org/10.3390/s24175471 - 23 Aug 2024
Viewed by 542
Abstract
The orthogonal frequency-division multiplexing (OFDM) mode with a linear frequency modulation (LFM) signal as the baseband waveform has been widely studied and applied in multiple-input multiple-output (MIMO) radar systems. However, its high sidelobe levels after pulse compression affect the target detection of radar [...] Read more.
The orthogonal frequency-division multiplexing (OFDM) mode with a linear frequency modulation (LFM) signal as the baseband waveform has been widely studied and applied in multiple-input multiple-output (MIMO) radar systems. However, its high sidelobe levels after pulse compression affect the target detection of radar systems. For this paper, theoretical analysis was performed, to investigate the causes of high sidelobe levels in OFDM-LFM waveforms, and a novel waveform optimization design method based on deep neural networks is proposed. This method utilizes the classic ResNeXt network to construct dual-channel neural networks, and a new loss function is employed to design the phase and bandwidth of the OFDM-LFM waveforms. Meanwhile, the optimization factor is exploited, to address the optimization problem of the peak sidelobe levels (PSLs) and integral sidelobe levels (ISLs). Our numerical results verified the correctness of the theoretical analysis and the effectiveness of the proposed method. The designed OFDM-LFM waveforms exhibited outstanding performance in pulse compression and improved the detection performance of the radar. Full article
(This article belongs to the Section Radar Sensors)
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<p>Mathematical analysis of <math display="inline"><semantics> <mrow> <mi>F</mi> <mo>(</mo> <mi>τ</mi> <mo>)</mo> </mrow> </semantics></math>: (<b>a</b>) Main function and periodic sampling function with <span class="html-italic">N</span> = 25. (<b>b</b>) Correlation result of MIMO-LFM with <span class="html-italic">N</span> = 25.</p>
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<p>Mathematical analysis of <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>(</mo> <mi>τ</mi> <mo>)</mo> </mrow> </semantics></math>: (<b>a</b>) Main function and periodic sampling function of <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>(</mo> <mi>τ</mi> <mo>)</mo> </mrow> </semantics></math>. (<b>b</b>) Results of <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>(</mo> <mi>τ</mi> <mo>)</mo> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>L</mi> <mo>(</mo> <mi>τ</mi> <mo>)</mo> </mrow> </semantics></math>.</p>
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<p>Dual-channel CNNs for OFDM-LFM waveform design. In the figure, “Conv” represents convolution layer; “BN” represents batch normalization; “Pooling” represents max-pooling; “FC” represents fully connected layer; “Residual block” represents residual mapping based on group convolution; “phase activation function” and “bandwidth activation function” are the phase and bandwidth activation functions proposed in this paper for OFDM-LFM waveform design; “side lobe loss function” represents the objective function based on the sidelobe properties optimization represented by Equation (<a href="#FD22-sensors-24-05471" class="html-disp-formula">22</a>).</p>
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<p>Sidelobe properties of the initial OFDM-LFM waveforms.</p>
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<p>Optimization with the PSL as the objective (<math display="inline"><semantics> <mi>ε</mi> </semantics></math> = 1): (<b>a</b>) Optimized results with the PSL. (<b>b</b>) The descent of the loss function during iterations with the PSL.</p>
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<p>Optimization with the ISL as the objective (<math display="inline"><semantics> <mi>ε</mi> </semantics></math> = 0): (<b>a</b>) Optimized results with the ISL. (<b>b</b>) The descent of the loss function during iterations with the ISL.</p>
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<p>Results of different optimization factors.</p>
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