CN105991492A - Frequency hopping (FH) signal identification method - Google Patents
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Abstract
本发明提供了一种跳频信号识别方法,用于在复杂航天器检测现场,利用平滑伪维格纳分布,从杂乱的电磁环境频谱中识别出航天器测控通信中的跳频信号,包括以下步骤:步骤一,对输入信号进行划分获得滑动重叠窗口,从而获得平滑伪维格纳分布;步骤二,基于平滑伪维格纳分布获得跳频脊线,并对跳频脊线进行求商差运算,从而得到突变脉冲;步骤三,根据突变脉冲,计算每个突变脉冲之间的距离,从而获得对跳频周期的估计;以及步骤四,对跳频周期的估计进行参数阈值迭代,从而识别出跳频信号与定频信号。因此,本发明可以在低信噪比下实现对微弱的跳频信号进行特征识别,在-9dB以上可以达到很高的识别率。
The invention provides a frequency hopping signal recognition method, which is used to identify the frequency hopping signal in the spacecraft measurement and control communication from the messy electromagnetic environment spectrum by using smooth pseudo-Wigner distribution at the complex spacecraft detection site, including the following Steps: step 1, divide the input signal to obtain sliding overlapping windows, so as to obtain a smooth pseudo-Wigner distribution; step 2, obtain the frequency-hopping ridge line based on the smooth pseudo-Wigner distribution, and calculate the quotient difference of the frequency-hopping ridge line Step 3, according to the mutation pulse, calculate the distance between each mutation pulse, so as to obtain the estimation of the frequency hopping period; and step 4, perform parameter threshold iteration on the estimation of the frequency hopping period, so as to identify Output frequency hopping signal and fixed frequency signal. Therefore, the present invention can realize feature recognition for weak frequency hopping signals under low signal-to-noise ratio, and high recognition rate can be achieved above -9dB.
Description
技术领域technical field
本发明属于航天器测控无线通信信号检测领域,涉及一种调频信号识别方法,适用于在复杂航天器检测现场从杂乱的电磁环境频谱中识别出航天器测控通信中的跳频信号。The invention belongs to the field of spacecraft measurement and control wireless communication signal detection, and relates to a frequency modulation signal identification method, which is suitable for identifying frequency hopping signals in spacecraft measurement and control communication from messy electromagnetic environment spectrums at complex spacecraft detection sites.
背景技术Background technique
目前通信信号调制识别的方法主要分为判决理论法和统计模式识别法。判决理论法基于概率论和假设检验中的贝叶斯理论,需要较多的已知参数和较大计算量。统计模式识别法则利用信号的各阶统计相关矩变量作为识别不同调制模式的特征。近年来研究人员对于单载波数字信号和模拟信号调制模式的识别做了大量工作,将小波变换、短时傅里叶变换、高阶累积量等信号分析手段用在调制识别中,可以做到对二进制移相键控(Binary Phase ShiftKeying,以下简称为BPSK)、四相相移键控(Quadrature Phase Shift Keying,以下简称为QPSK)、正交振幅调制(Quadrature Amplitude Modulation,以下简称为QAM)和模拟信号等的识别。但对于跳频信号的检测与识别则研究较少。At present, the methods of communication signal modulation recognition are mainly divided into decision theory method and statistical pattern recognition method. The decision theory method is based on probability theory and Bayesian theory in hypothesis testing, which requires more known parameters and a larger amount of calculation. The statistical pattern recognition method uses the statistical correlation moment variable of each order of the signal as a feature to identify different modulation modes. In recent years, researchers have done a lot of work on the identification of modulation modes of single-carrier digital signals and analog signals. Signal analysis methods such as wavelet transform, short-time Fourier transform, and high-order cumulants are used in modulation identification, which can be used for modulation identification. Binary Phase Shift Keying (Binary Phase Shift Keying, hereinafter referred to as BPSK), Quadrature Phase Shift Keying (hereinafter referred to as QPSK), Quadrature Amplitude Modulation (Quadrature Amplitude Modulation, hereinafter referred to as QAM) and analog Identification of signals, etc. However, the detection and identification of frequency hopping signals are less studied.
跳频信号是一种典型的非平稳信号,一般必须借助于时频分析手段才能有效地获取这些参数。时频分析(Time-Frequency analysis,以下简称为TMA),尤其维格纳分布(Wigner-VilleDistribution,以下简称为WVD)是一种用于分析非平稳信号强有力的工具。但是,对于多分量信号或频率随时间非线性变化的单分量信号(例如,跳频信号),WVD存在着严重的交叉项干扰。通过仿真发现,直接用WVD值去估计得不到正确的结果。而通过在时域和频域两次平滑得到的平滑伪WVD(Smoothed Pseudo WVD,以下简称为SPWVD),可以有效地抑制交叉干扰项。The frequency hopping signal is a typical non-stationary signal, and these parameters can be obtained effectively only by means of time-frequency analysis. Time-frequency analysis (Time-Frequency analysis, hereinafter referred to as TMA), especially Wigner-Ville Distribution (hereinafter referred to as WVD), is a powerful tool for analyzing non-stationary signals. However, for multi-component signals or single-component signals whose frequency varies nonlinearly with time (eg, frequency-hopping signals), WVD suffers from severe cross-term interference. It is found through simulation that the correct result cannot be obtained by directly using the WVD value to estimate. However, the smoothed pseudo WVD (Smoothed Pseudo WVD, hereinafter referred to as SPWVD) obtained by smoothing twice in the time domain and the frequency domain can effectively suppress the cross interference term.
因此,急需一种方案,能够用SPWVD代替WVD和伪WVD(Pseudo WVD,以下简称为PWVD)来估计跳频信号的载波频率,在跳频调制机理的基础上,基于SPWVD检测与识别跳频信号,可有效区分跳频和定频信号。Therefore, there is an urgent need for a solution that can use SPWVD instead of WVD and pseudo WVD (Pseudo WVD, hereinafter referred to as PWVD) to estimate the carrier frequency of the frequency hopping signal, and on the basis of the frequency hopping modulation mechanism, detect and identify the frequency hopping signal based on SPWVD , which can effectively distinguish frequency hopping and fixed frequency signals.
发明内容Contents of the invention
为了解决现有技术中存在的问题,本发明提出了一种方案,首先分析SPWVD在跳频信号检测中所起到的可抑制交叉项干扰的作用,然后基于跳频脊线求差商、参数阈值迭代等,将SPWVD应用于跳频信号的参数估计和信号识别,最后对算法进行了计算机仿真,对改进前后的算法性能进行了比较,验证了算法的可行性和有效性。In order to solve the problems existing in the prior art, the present invention proposes a scheme. Firstly, analyze the function of SPWVD in frequency-hopping signal detection to suppress cross-term interference, and then calculate the difference quotient and parameter based on the frequency-hopping ridge line. Threshold iteration and so on, SPWVD is applied to parameter estimation and signal recognition of frequency hopping signals. Finally, the algorithm is simulated by computer, and the performance of the algorithm before and after improvement is compared to verify the feasibility and effectiveness of the algorithm.
本发明提供了一种跳频信号识别方法,用于在复杂航天器检测现场,利用平滑伪维格纳分布,从杂乱的电磁环境频谱中识别出航天器测控通信中的跳频信号,包括以下步骤:步骤一,对输入信号进行划分获得滑动重叠窗口,从而获得平滑伪维格纳分布;步骤二,基于平滑伪维格纳分布获得跳频脊线,并对跳频脊线进行求商差运算,从而得到突变脉冲;步骤三,根据突变脉冲,计算每个突变脉冲之间的距离,从而获得对跳频周期的估计;以及步骤四,对跳频周期的估计进行参数阈值迭代,从而识别出跳频信号与定频信号。The invention provides a frequency hopping signal recognition method, which is used to identify the frequency hopping signal in the spacecraft measurement and control communication from the messy electromagnetic environment spectrum by using smooth pseudo-Wigner distribution at the complex spacecraft detection site, including the following Steps: step 1, divide the input signal to obtain sliding overlapping windows, so as to obtain a smooth pseudo-Wigner distribution; step 2, obtain the frequency-hopping ridge line based on the smooth pseudo-Wigner distribution, and calculate the quotient difference of the frequency-hopping ridge line Step 3, according to the mutation pulse, calculate the distance between each mutation pulse, so as to obtain the estimation of the frequency hopping period; and step 4, perform parameter threshold iteration on the estimation of the frequency hopping period, so as to identify Output frequency hopping signal and fixed frequency signal.
平滑伪维格纳分布用于表示输入信号在时频域的能量分布密度,对于跳频信号,在每个完整的跳频周期内,平滑伪维格纳分布值都是中间大两边小,并且在频率跳变时刻出现最小值。The smooth pseudo-Wigner distribution is used to represent the energy distribution density of the input signal in the time-frequency domain. For a frequency hopping signal, in each complete frequency hopping period, the smooth pseudo-Wigner distribution value is large in the middle and small on both sides, and The minimum occurs at the moment of the frequency jump.
具体地,在步骤一中执行:对输入信号进行划分获得滑动重叠窗口;以及对滑动重叠窗口进行平滑伪维格纳分布变换,并重新排列以获得时频分布矩阵。Specifically, in step 1, it is performed: dividing the input signal to obtain sliding overlapping windows; and performing smoothing pseudo-Wigner distribution transformation on the sliding overlapping windows, and rearranging to obtain a time-frequency distribution matrix.
在步骤二中执行:对时频分布矩阵求取每个时刻在频率轴的最大值,以获得最大值序列,从而得到跳频脊线;以及对跳频脊线进行求差商运算,得到所有跳频时刻以形成突变脉冲,从而得到频率跳变时刻。Execute in step 2: Calculate the maximum value of the time-frequency distribution matrix on the frequency axis at each moment to obtain the maximum value sequence, thereby obtaining the frequency hopping ridge line; and perform difference quotient operation on the frequency hopping ridge line to obtain all The frequency hopping moment is used to form an abrupt pulse, thereby obtaining the frequency hopping moment.
在步骤三中执行:根据突变脉冲,计算跳频时刻之间的平均距离,从而获得对跳频周期的估计。Execution in Step 3: Calculate the average distance between frequency hopping moments according to the abrupt pulse, so as to obtain an estimate of the frequency hopping period.
步骤四包括:采用参数阈值迭代的方式,选择跳频周期的估计的门限;计算跳频周期的估计序列的方差值;以及将方差值与预定的方差门限值进行比较,从而识别出跳频信号。Step 4 includes: selecting the estimated threshold of the frequency hopping period by means of parameter threshold iteration; calculating the variance value of the estimated sequence of the frequency hopping period; and comparing the variance value with the predetermined variance threshold value to identify frequency hopping signal.
优选地,在步骤四中,门限至少包括:上门限和下门限。Preferably, in Step 4, the threshold at least includes: an upper threshold and a lower threshold.
相应地,在步骤四中执行:采用参数阈值迭代的方式,选择跳频周期的估计的上门限和下门限;计算跳频周期的估计序列的方差值;将方差值与方差门限值进行比较;以及当方差值小于方差门限值时,判定为跳频信号,而当方差值大于方差门限值时,判定为定频信号。Correspondingly, it is executed in step four: adopt parameter threshold value iteration to select the estimated upper threshold and lower threshold of the frequency hopping period; calculate the variance value of the estimated sequence of the frequency hopping period; compare the variance value with the variance threshold value comparison; and when the variance value is smaller than the variance threshold value, it is determined as a frequency hopping signal, and when the variance value is greater than the variance threshold value, it is determined as a fixed frequency signal.
因此,与现有技术相比,本发明具有以下有益效果:Therefore, compared with the prior art, the present invention has the following beneficial effects:
(1)现有技术是针对高信噪比下的跳频信号进行检测与识别,本发明提出低信噪比下微弱信号的特征识别方案;(1) The prior art is to detect and identify frequency hopping signals under high SNR, and the present invention proposes a feature recognition scheme for weak signals under low SNR;
(2)现有技术中的信号调制模式识别方法大多是基于信号的统计量和高阶累积量,不同调制模式信号的某种累积量值会有所差别,并且现有文献中对模拟和数字的多种调制模式信号的识别进行了仿真,在信噪比高于10dB时可以获得较好的识别效果,而本发明针对跳频信号的特点,可以在低信噪比下实现对跳频信号的识别,在-9dB以上可以达到很高的识别率。(2) Most of the signal modulation pattern recognition methods in the prior art are based on signal statistics and high-order cumulants, and certain cumulant values of signals with different modulation patterns will be different, and the analog and digital Simulations have been carried out on the recognition of various modulation mode signals. When the signal-to-noise ratio is higher than 10dB, a better recognition effect can be obtained. The present invention is aimed at the characteristics of frequency-hopping signals, and can realize frequency-hopping signal recognition at low signal-to-noise ratios. The recognition can achieve a high recognition rate above -9dB.
附图说明Description of drawings
图1为本发明具体实施方式所涉及的信噪比为-5dB下的极大值序列的示意图;Fig. 1 is the schematic diagram of the maximum value sequence under -5dB for the signal-to-noise ratio involved in the specific embodiment of the present invention;
图2为本发明具体实施方式所涉及的极大值法的跳频周期方差的示意图;Fig. 2 is a schematic diagram of the frequency hopping cycle variance of the maximum value method involved in a specific embodiment of the present invention;
图3为本发明具体实施方式所涉及的跳频基线的示意图;FIG. 3 is a schematic diagram of a frequency hopping baseline involved in a specific embodiment of the present invention;
图4是本发明具体实施方式所涉及的跳频时刻估计的示意图;Fig. 4 is a schematic diagram of frequency hopping time estimation involved in a specific embodiment of the present invention;
图5是本发明具体实施方式所涉及的为周期估计的比较结果的示意图;Fig. 5 is a schematic diagram of a comparison result for period estimation involved in a specific embodiment of the present invention;
图6示出了本发明具体实施方式所涉及的极大值法的周期估计方差;Fig. 6 shows the periodic estimation variance of the maximum value method involved in the specific embodiment of the present invention;
图7示出了本发明具体实施方式所涉及的差商法的周期估计方差;Fig. 7 shows the periodic estimated variance of the difference quotient method involved in the specific embodiment of the present invention;
图8示出了本发明具体实施方式所涉及的差商法的跳频信号的识别率;Fig. 8 shows the recognition rate of the frequency hopping signal of the difference quotient method involved in the specific embodiment of the present invention;
图9示出了本发明具体实施方式所涉及的极大值法的跳频信号的识别率;以及Fig. 9 shows the recognition rate of the frequency hopping signal of the maximum value method involved in the specific embodiment of the present invention; And
图10为本发明的跳频信号识别过程的流程图。FIG. 10 is a flow chart of the frequency hopping signal identification process of the present invention.
具体实施方式detailed description
应了解,本发明复杂航天器检测现场跳频信号的识别方法通过对跳频系统和现有参数估计算法的分析,提出利用SPWVD进行跳频(Frequency Hopping,以下简称为FH)信号参数估计和识别,可以有效地区分跳频和定频信号。在实施中,利用重叠滑动窗口、跳频脊线求差商、参数阈值迭代等方法,有效地提高了在低信噪比下跳频信号参数估计和识别的性能。在Matlab平台下,对FH信号的检测和估计性能进行了分析,结果表明信噪比高于-9dB时,可以实现有效的参数估计和识别效果,能够很好地区分跳频和定频信号,算法性能明显优于现有传统算法。It should be understood that the method for identifying frequency hopping signals detected by complex spacecraft in the present invention proposes to use SPWVD to perform frequency hopping (Frequency Hopping, hereinafter referred to as FH) signal parameter estimation and identification by analyzing frequency hopping systems and existing parameter estimation algorithms , can effectively distinguish frequency hopping and fixed frequency signals. In the implementation, the performance of frequency hopping signal parameter estimation and identification under low signal-to-noise ratio is effectively improved by using methods such as overlapping sliding windows, frequency hopping ridge difference quotient, and parameter threshold iteration. Under the Matlab platform, the detection and estimation performance of the FH signal is analyzed. The results show that when the signal-to-noise ratio is higher than -9dB, effective parameter estimation and identification can be achieved, and frequency-hopping and fixed-frequency signals can be well distinguished. The performance of the algorithm is obviously better than the existing traditional algorithms.
因此,本发明在SPWVD谱的基础上,利用重叠滑动窗口、跳频脊线求差商、参数阈值迭代等方法,对跳频信号参数进行估计和识别,可以有效地区分跳频和定频信号。另外,对SPWVD进行差商运算,获取跳变脉冲,并结合滑动窗口和迭代阈值,用于跳频周期的估计。Therefore, on the basis of the SPWVD spectrum, the present invention uses methods such as overlapping sliding windows, frequency-hopping ridge line difference quotient, parameter threshold iteration, etc. to estimate and identify the parameters of the frequency-hopping signal, which can effectively distinguish between frequency-hopping and fixed-frequency signals . In addition, the difference quotient operation is performed on SPWVD to obtain the jump pulse, and combined with the sliding window and iteration threshold, it is used to estimate the frequency jump period.
具体地,利用SPWVD进行跳频信号参数估计和调制模式识别,通过重叠窗口、跳频基线求导、参数阈值迭代等方法的使用,估计跳频信号参数。同时根据跳频信号的特点,提出利用频率波动周期的稳定性分离对跳频和非跳频信号。下面结合附图1-10及具体实施方式对本发明进行详细说明,以便进一步理解本方案的原理、步骤、特点和优点。Specifically, SPWVD is used for frequency hopping signal parameter estimation and modulation pattern recognition, and frequency hopping signal parameters are estimated by using methods such as overlapping windows, frequency hopping baseline derivation, and parameter threshold iteration. At the same time, according to the characteristics of the frequency hopping signal, it is proposed to use the stability of the frequency fluctuation period to separate the frequency hopping and non-frequency hopping signals. The present invention will be described in detail below with reference to the accompanying drawings 1-10 and specific embodiments, so as to further understand the principles, steps, features and advantages of this solution.
跳频信号的表示Representation of frequency hopping signal
跳频是频率随时间跳变的一种通信方式,它具有一组由跳频图案控制的伪随机的载频,所有可能的载波频率的集合成为跳频集。不同的时间,信号的传输处于不同信道上,所有信道涵盖的带宽称为跳频带宽。跳频信号一般使用伪随机产生的移频序列对一连串脉冲进行非线性调制产生,如以下公式(1)所示。Frequency hopping is a communication method in which frequency hops over time. It has a set of pseudo-random carrier frequencies controlled by a frequency hopping pattern, and the set of all possible carrier frequencies becomes a frequency hopping set. Signals are transmitted on different channels at different times, and the bandwidth covered by all channels is called the frequency hopping bandwidth. The frequency hopping signal is generally generated by non-linear modulation of a series of pulses using a pseudo-randomly generated frequency shift sequence, as shown in the following formula (1).
公式(1) Formula 1)
其中,p(t)为具有时宽Tb的基脉冲波形,{fn}为伪随机产生的移频序列,{φn}为频率跳变发生时的伪随机相位序列。Among them, p(t) is the basic pulse waveform with time width T b , {f n } is the pseudo-randomly generated frequency shift sequence, and {φ n } is the pseudo-random phase sequence when frequency hopping occurs.
平滑伪Wigner-Vill分布Smoothed Pseudo-Wigner-Vill Distribution
经过时域和频域加窗处理后的WVD称为SPWVD,具体如以下公式(2)所示。The WVD processed by windowing in the time domain and the frequency domain is called SPWVD, specifically as shown in the following formula (2).
其中,h(t)和g(t)是奇数长度的窗函数,满足h(0)=1和g(0)=1。要实现平滑伪WVD算法仿真必须将连续的WVD离散化。离散伪WVD的定义如以下的公式(3)所示Wherein, h(t) and g(t) are window functions of odd length, satisfying h(0)=1 and g(0)=1. To realize smooth pseudo WVD algorithm simulation must discretize the continuous WVD. The definition of discrete pseudo-WVD is shown in the following formula (3)
在公式(3)中,h(m)是长度为M的正实窗函数,采样频率为fs的情况下,t,f和τ离散为n,k,和m(具体如以下公式(4)所示)。In formula (3), h(m) is a positive real window function with length M, and when the sampling frequency is f s , t, f and τ are discrete as n, k, and m (specifically as the following formula (4 ) shown).
由式(3)可见,离散伪Wigner分布可以用离散傅里叶变换(Discrete FourierTest,以下简称为DFT)来计算。将DFT作用于M点函数c(n,m),函数c(n,m)的定义如以下的公式(5)所示。It can be seen from formula (3) that the discrete pseudo-Wigner distribution can be calculated by discrete Fourier transform (Discrete FourierTest, hereinafter referred to as DFT). Applying DFT to the M-point function c(n, m), the definition of the function c(n, m) is shown in the following formula (5).
利用解析信号和原信号的在频域关系,z(n)的构造可以由离散信号s(n)的DFT求得。具体的步骤为先对s(n)做N点的DFT得到S(k),由S(k)构造Z(k),当k=0时,Z(k)=X(k),k=1,2,.....N/2-1时,Z(k)=2X(k),其他情况下,Z(k)=0。最后对Z(k)做离散傅里叶反变换,z(n)=IDFT[Z(k)]。Using the relationship between the analytic signal and the original signal in the frequency domain, the construction of z(n) can be obtained from the DFT of the discrete signal s(n). The specific steps are to first do N-point DFT on s(n) to obtain S(k), and construct Z(k) from S(k). When k=0, Z(k)=X(k), k= 1, 2, ... N/2-1, Z(k)=2X(k), and in other cases, Z(k)=0. Finally, inverse discrete Fourier transform is performed on Z(k), z(n)=IDFT[Z(k)].
基于SPWVD的跳频信号参数估计方法Parameter Estimation Method of Frequency Hopping Signal Based on SPWVD
跳频信号是一种频率随时间非线性变化的非平稳信号,对其进行分析不能采用传统的傅里叶变换的方式。小波变换和短时傅里叶变换虽然也可以提供信号频谱的时变特征,但它们根本上还是对信号的线性分解。时频分析的方法对处理非平稳时变信号能够提供更好的能量聚集性和时频分辨率。以上分析的SPWVD就是分析非平稳信号的一种强有力的工具。它可以在没有任何先验知识的情况下对信号能量的时间和频率聚集性进行有效的分析。The frequency hopping signal is a non-stationary signal whose frequency varies nonlinearly with time, and the traditional Fourier transform method cannot be used to analyze it. Although wavelet transform and short-time Fourier transform can also provide time-varying features of the signal spectrum, they are basically linear decomposition of the signal. The method of time-frequency analysis can provide better energy concentration and time-frequency resolution for dealing with non-stationary time-varying signals. The SPWVD analyzed above is a powerful tool for analyzing non-stationary signals. It can efficiently analyze the time and frequency aggregation of signal energy without any prior knowledge.
SPWVD分布可以描绘信号在时频域的能量分布密度,而且对于跳频信号在每个完整的跳频周期内,信号的SPWVD值都是中间大两边小,在频率跳变时刻出现最小值。通常的方法利用这一特性求取频率跳变时刻从而获得跳频周期的估计。The SPWVD distribution can describe the energy distribution density of the signal in the time-frequency domain, and for the frequency hopping signal in each complete frequency hopping period, the SPWVD value of the signal is large in the middle and small on both sides, and the minimum value appears at the moment of frequency hopping. The usual method uses this characteristic to calculate the time of frequency hopping so as to obtain the estimation of the frequency hopping period.
利用跳频信号SPWVD分布在频率跳变出现最小值的特性可以估计跳频信号的跳频周期,但在信噪比较低的情况下这种方法的估计效果并不理想。由于干扰噪声的存在,信号SPWVD分布最大值序列的极小值并不是只在频率跳变时刻出现。如图1所示,当信噪比为-5dB时的最大值序列,使得估计效果变差。如图2所示,示出了信躁比从-10dB至10dB变化时采用极大值法获得跳频周期估计值的方差。The frequency hopping period of the frequency hopping signal can be estimated by using the characteristic that the SPWVD distribution of the frequency hopping signal has a minimum value in the frequency hopping, but the estimation effect of this method is not ideal when the signal-to-noise ratio is low. Due to the existence of interference noise, the minimum value of the signal SPWVD distribution maximum sequence does not appear only at the time of frequency hopping. As shown in Figure 1, the sequence of maximum values when the SNR is -5dB makes the estimation effect worse. As shown in Figure 2, it shows that when the signal-to-noise ratio changes from -10dB to 10dB, the maximum value method is used to obtain the estimated value of the frequency hopping period Variance.
为了在信躁比较低的情况下仍能获得较好的估计效果,本发明提出的新的跳频周期估计方法,仍然利用了跳频信号的SPWVD分布,沿频率轴计算每个时刻的幅度最大值,记录出现最大值的频率点位置,由此得到跳频脊线。对跳频脊线做求差商运算,则会在所有跳频时刻形成突变脉冲。In order to obtain a better estimation effect when the signal to noise is relatively low, the new frequency hopping period estimation method proposed by the present invention still utilizes the SPWVD distribution of the frequency hopping signal, and calculates the maximum amplitude at each moment along the frequency axis value, record the position of the frequency point where the maximum value occurs, and thus obtain the frequency hopping ridge line. The difference quotient operation is performed on the frequency hopping ridge line, and a sudden pulse will be formed at all frequency hopping moments.
根据以上的突变脉冲,计算每个突变脉冲之间的距离,即获得对跳频周期的估计。由于只有在频率跳变点才会出现较大幅度的突变脉冲,所以在信噪比较低的情况下仍可以获得较好的估计效果。在周期估计算法中,采用基于迭代的自适应门限法,有效排除无效的周期估计值。重叠滑动窗口、跳频脊线求差商、参数阈值迭代等方法According to the above abrupt pulses, the distance between each abrupt pulse is calculated, that is, the estimation of the frequency hopping period is obtained. Because only at the frequency jump point will there be a relatively large abrupt pulse, so a better estimation effect can still be obtained in the case of a low signal-to-noise ratio. In the period estimation algorithm, an adaptive threshold method based on iteration is adopted to effectively exclude invalid period estimation values. Methods such as overlapping sliding windows, frequency hopping ridge difference quotient, parameter threshold iteration, etc.
假设为一系列周期的估计值,为了去除无效的周期估计,以增加周期估计的准确度,现按如下的公式(6)选择估计值的门限:suppose is an estimated value of a series of periods, in order to remove invalid period estimates and increase the accuracy of period estimation, the threshold of estimated values is now selected according to the following formula (6):
对中大于Tmax和小于Tmin的估计值进行舍弃。right Estimated values greater than Tmax and less than Tmin are discarded.
实现流程Implementation process
跳频信号的载波频率随时间周期性的伪随机跳变,对跳频信号进行周期估计可以获得较为稳定的估计值,但对于定频信号,由于没有固定的频率跳变周期,因此噪声和调制信号的幅值最大频率会在信号带宽范围内进行随机波动,故而频率变化周期值会是波动较大的不稳定序列。由此可以将频率变化周期的估计值的稳定性作为跳频信号识别的特征。如图10所示,本发明的调频信号识别方法的具体步骤如下:The carrier frequency of the frequency hopping signal changes periodically pseudo-randomly with time, and the period estimation of the frequency hopping signal can obtain a relatively stable estimated value, but for the fixed frequency signal, since there is no fixed frequency hopping period, noise and modulation The maximum frequency of the signal amplitude will fluctuate randomly within the signal bandwidth range, so the frequency change period value will be an unstable sequence with large fluctuations. The stability of the estimated value of the frequency variation period can thus be used as a feature for frequency hopping signal identification. As shown in Figure 10, the specific steps of the FM signal identification method of the present invention are as follows:
①对信号x(t)划分滑动重叠窗口,xi(t),i=1,2,…,M;① Divide a sliding overlapping window on the signal x(t), x i (t), i=1, 2,..., M;
②对各个xi(t)做SPWVD变换,并重新排列获得其时频分布矩阵s(f,t)。② Perform SPWVD transformation on each x i (t), and rearrange to obtain its time-frequency distribution matrix s(f, t).
③对s(f,t)求取每个时刻在频率轴的最大值,获得最大值序列m(t),得到跳频脊线;③ Calculate the maximum value on the frequency axis at each moment for s(f, t), obtain the maximum value sequence m(t), and obtain the frequency hopping ridge;
④对跳频脊线做差商运算,得到所有跳频时刻形成突变脉冲,并由此进一步得到频率跳变时刻;④ Perform difference quotient calculation on the frequency hopping ridge line, and obtain all frequency hopping moments to form abrupt pulses, and further obtain frequency hopping moments;
⑤求跳变时刻之间的平均距离,即为跳频周期的估计;⑤ Find the average distance between the hopping moments, which is the frequency hopping period estimate;
⑥参数阈值迭代,选择估计值的门限:(7),其中,对中大于Tmax和小于Tmin的估计值进行舍弃;⑥ parameter threshold iteration, select the threshold of the estimated value: (7), where, for The estimated values greater than Tmax and less than Tmin are discarded;
⑦计算周期估计序列的方差值σ1;以及⑦ Calculate the variance value σ1 of the period estimation sequence; and
⑧将σ1与门限值σ_TH,若σ1<σ_TH,则判定为跳频信号,若σ1>σ_TH,则判定为定频信号,然后流程结束。⑧ Compare σ1 with the threshold value σ_TH. If σ1<σ_TH, it is determined as a frequency-hopping signal; if σ1>σ_TH, it is determined as a fixed-frequency signal, and then the process ends.
根据流程①~③,对信号x(t)划分滑动重叠窗口,并做SPWVD变换,然后重新排列获得其时频分布矩阵。接下来,根据频率轴的最大值,获得最大值序列m(t),由此得到跳频脊线(如图3所示)。对跳频脊线做差商运算,则会在所有跳频时刻形成突变脉冲(如图4所示)。According to the process ①~③, the signal x(t) is divided into sliding overlapping windows, and SPWVD transformation is performed, and then rearranged to obtain its time-frequency distribution matrix. Next, according to the maximum value of the frequency axis, the maximum value sequence m(t) is obtained, thereby obtaining the frequency hopping ridge (as shown in FIG. 3 ). The difference quotient calculation is performed on the frequency hopping ridge line, and a sudden change pulse will be formed at all frequency hopping moments (as shown in Figure 4).
根据上文的实现流程④~⑥,可以估计跳频周期。图5为信躁比从-10dB到10dB变化时两种方法获得的跳频周期估计曲线。According to the above implementation process ④~⑥, the frequency hopping period can be estimated. Fig. 5 is the frequency hopping period estimation curve obtained by two methods when the signal-to-noise ratio changes from -10dB to 10dB.
可以看出,脊线差商法在信躁比低于-5dB时仍可以获得较为稳定的周期估计,但极大值法只有信躁比在0dB以上时才能获得稳定的周期估计。It can be seen that the ridge difference quotient method can still obtain relatively stable period estimation when the signal-to-noise ratio is lower than -5dB, but the maximum value method can only obtain stable period estimation when the signal-to-noise ratio is above 0dB.
在仿真试验中,跳频信号的跳频集为1kHz到10kHz等间隔分布的10个载波频率,跳频图案由伪随机码控制,包含5个跳频周期。采样频率fs设为2MHz,跳频频率fh设为100Hz,即跳频周期为0.01s,仿真时间T为0.25s。In the simulation experiment, the frequency hopping set of the frequency hopping signal is 10 carrier frequencies distributed at equal intervals from 1kHz to 10kHz, and the frequency hopping pattern is controlled by a pseudo-random code, including 5 frequency hopping periods. The sampling frequency f s is set to 2MHz, the frequency hopping frequency f h is set to 100Hz, that is, the frequency hopping period is 0.01s, and the simulation time T is 0.25s.
根据上文的实现流程⑦,可以估计跳频信号估计周期的方差。图6为用极大值法求得的定频和跳频信号估计周期方差,图7为差商法求得的定频和跳频信号估计周期方差。According to the above implementation process ⑦, the variance of the frequency hopping signal estimation period can be estimated. Figure 6 shows the estimated periodic variance of fixed-frequency and frequency-hopping signals obtained by the maximum value method, and Figure 7 shows the estimated periodic variance of fixed-frequency and frequency-hopping signals obtained by the difference quotient method.
根据上文的实现流程⑧,还可以根据估计周期方差可以将跳频信号和定频信号分离。如图6所示,对于极大值法,信噪比在0dB以下时定频和跳频信号难以分开,而在图7中,利用差商法在信噪比大于-15dB时均可将定频和跳频信号分开。According to the implementation process ⑧ above, the frequency-hopping signal and the fixed-frequency signal can also be separated according to the estimated period variance. As shown in Figure 6, for the maximum value method, it is difficult to separate the fixed-frequency and frequency-hopping signals when the SNR is below 0dB, while in Figure 7, the fixed-frequency Separate from frequency hopping signals.
另外,图8为利用差商法的情况下信噪比从-10dB到-5dB变化时跳频信号和定频信号的识别率的变化曲线。如图8所示,在信噪比高于-9dB时,可以对信号获得较高的识别率。图9为应用极大值法求得的跳频信号和定频信号识别率情况。如图9所示,在信噪比5dB以下时无法获得较好的识别率。In addition, Fig. 8 is a change curve of the recognition rate of the frequency-hopping signal and the fixed-frequency signal when the signal-to-noise ratio changes from -10dB to -5dB in the case of using the difference quotient method. As shown in Figure 8, when the signal-to-noise ratio is higher than -9dB, a higher recognition rate can be obtained for the signal. Figure 9 shows the recognition rates of frequency-hopping signals and fixed-frequency signals obtained by applying the maximum value method. As shown in FIG. 9 , a good recognition rate cannot be obtained when the signal-to-noise ratio is below 5 dB.
可见,本发明有效提高在低信噪比下跳频信号参数估计的性能,在-6dB信噪比下,可以对跳频周期进行准确的估计。在-9dB以上可以对跳频和非跳频信号实现准确的分离。在空间电子对抗和民用电磁环境监测领域,尤其是对复杂航天器干扰定位技术的发展和应用,将产生较重要的推动作用,并可带来较好的社会经济效益。It can be seen that the present invention effectively improves the performance of frequency hopping signal parameter estimation under low signal-to-noise ratio, and can accurately estimate the frequency-hopping period under -6dB signal-to-noise ratio. Accurate separation of frequency hopping and non-frequency hopping signals can be achieved above -9dB. In the field of space electronic countermeasures and civilian electromagnetic environment monitoring, especially the development and application of complex spacecraft interference positioning technology, it will have a more important role in promoting and bring better social and economic benefits.
综上所述,本发明可以在低信噪比下实现对微弱的跳频信号进行特征识别,在-9dB以上可以达到很高的识别率。To sum up, the present invention can realize feature recognition for weak frequency hopping signals under low signal-to-noise ratio, and can achieve a high recognition rate above -9dB.
本发明中未说明部分属于本领域的公知技术。The parts not described in the present invention belong to the known technology in the art.
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