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CN109194968A - A kind of compression of images cognitive method of fusion message source and channel decoding - Google Patents

A kind of compression of images cognitive method of fusion message source and channel decoding Download PDF

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Publication number
CN109194968A
CN109194968A CN201811069844.6A CN201811069844A CN109194968A CN 109194968 A CN109194968 A CN 109194968A CN 201811069844 A CN201811069844 A CN 201811069844A CN 109194968 A CN109194968 A CN 109194968A
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matrix
reconstruct
inverse
code
wavelet
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CN109194968B (en
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梁煜
王浩
张为
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Tianjin University
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Tianjin University
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N19/00Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
    • H04N19/60Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using transform coding
    • H04N19/63Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using transform coding using sub-band based transform, e.g. wavelets
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T9/00Image coding
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N19/00Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
    • H04N19/10Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using adaptive coding
    • H04N19/102Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using adaptive coding characterised by the element, parameter or selection affected or controlled by the adaptive coding
    • H04N19/132Sampling, masking or truncation of coding units, e.g. adaptive resampling, frame skipping, frame interpolation or high-frequency transform coefficient masking
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N19/00Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
    • H04N19/44Decoders specially adapted therefor, e.g. video decoders which are asymmetric with respect to the encoder
    • H04N19/45Decoders specially adapted therefor, e.g. video decoders which are asymmetric with respect to the encoder performing compensation of the inverse transform mismatch, e.g. Inverse Discrete Cosine Transform [IDCT] mismatch

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  • Signal Processing (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
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  • Theoretical Computer Science (AREA)
  • Compression Or Coding Systems Of Tv Signals (AREA)
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Abstract

The present invention relates to a kind of compression of images cognitive methods of fusion message source and channel decoding, comprising: sparse transformation;Homogenization: by the sparse matrix W that wavelet sub-band is fixed at a line number value by rows according to the size order of degree of rarefication2, N number of data one vector to be observed of expression of its each column;Sampling observation;Step 4: channel coding: the signal that sampling obtains being encoded using RS code;Transmission;Decoding reconstruct: the codeword information received is demodulated first, then correct codeword information is obtained through the search of syndrome computation, key equation solving and money and good fortune Buddhist nun's algoritic module, good fortune Buddhist nun algoritic module is finally searched for by key equation solving module and money again and obtains reconstruct column vector, and converts coefficient matrices A for the column vector of reconstruct;Inverse homogenization;Inverse sparse transformation.

Description

A kind of compression of images cognitive method of fusion message source and channel decoding
Technical field
The invention belongs to field of image processings, relate generally to a kind of compression of images perception side based on channel decoding theory Method.
Background technique
Compressive sensing theory is pointed out, for the signal with sparse characteristic, to be far below the condition of nyquist sampling rate Signal is observed, still can use limited sample realization to the Exact Reconstruction of signal.Due to natural image signal Do not have sparse characteristic in pixel domain, therefore realizes signal from picture firstly the need of using wavelet transform or discrete cosine transform Prime field obtains the characteristic signal with sparse characteristic being made of coefficient in transform domain to the conversion of frequency domain, and then again to this feature Signal carries out compressed sensing sampling.Number and original image due to the number of samples after sampling far below coefficient in transform domain Pixel number, it is achieved that the compression to picture signal.
The similitude of channel decoding theory and compressed sensing has attracted numerous scholars to study it, it is also solution The actual application problem that compressed sensing faces provides possibility.2008, F Parvaresh and B Hassibi were demonstrated The decoding algorithm of Complex Reed-Solomon (CRS) code can be used as a kind of certainty compressed sensing recovery algorithms.According to this Theory, (r=c+e, wherein r is received vector to the received vector r for being superimposed with mistake of RS (n, k, 2t) code, and c is code word, and e is mistake Miss vector) the sampling observation that the 2t syndrome that parity matrix is multiplied is compressed sensing is tieed up with 2t × n.In e Under the premise of vector degree of rarefication is less than or equal to t, with the RS code decoding algorithm such as BM algorithm, GS algorithm etc. in any one finite field It, which is reconstructed, can recover error vector e.Traditional compression of images cognitive method reconstruction accuracy is low, data throughput It is low, in order to comply with the trend of big data era development, meet high-speed data acquisition transmission and the storage of large nuber of images video data It needs, needs to propose a kind of novel compression of images cognitive method.Reed-solomon code coding/decoding technology is quite mature, existing skill Art can achieve the throughput of Gbps magnitude, and application reed-solomon code associated translation algorithm realizes the essence of compressed sensing reconstruct Spend it is quite high, therefore by reed-solomon code be applied to compression of images perception be particularly important.
Summary of the invention
The compression of images for the fusion message source and channel decoding based on reed solomon product code that the purpose of the present invention is to propose to a kind of Cognitive method can greatly improve data acquisition transmission rate, reduce the pressure of large nuber of images video data storage, improve reconstruct The precision of images.Technical solution is as follows:
A kind of compression of images cognitive method of fusion message source and channel decoding, including the following steps:
Step 1: sparse transformation
The wavelet transform matrix that a size is n × n is generated according to the method for generating wavelet transform matrix;
Step 2: homogenization
By the sparse matrix W that wavelet sub-band is fixed at a line number value by rows according to the size order of degree of rarefication2, it N number of data of each column indicate a vector to be observed;
Step 3: sampling observation
Using the parity check matrix H of RS code to coefficient matrix W2It is observed, wherein H is the matrix of a 2k × N, 2k <<N。
Step 4: channel coding
The signal that sampling obtains is encoded using RS (n, k) code, RS (255,239) or RS generally can be used The code of (255,223);
Step 5: transmission
Signal by coded modulation, which enters channel, to be transmitted.
Step 6: decoding reconstruct
The codeword information received is demodulated first, is then searched for through syndrome computation, key equation solving and money Correct codeword information is obtained with good fortune Buddhist nun's algoritic module, good fortune Buddhist nun algorithm mould is finally searched for by key equation solving module and money again Block obtains reconstruct column vector, and converts coefficient matrices A for the column vector of reconstruct.
Step 7: inverse homogenization
Wavelet matrix C is rearranged into according to the inverse process of step 2 to the coefficient matrices A that step 6 obtains;
Step 8: inverse sparse transformation
2-d discrete wavelet contravariant is carried out to the coefficient matrix C that step 7 generates with the 2-d discrete wavelet inverse transformation of standard It changes, obtains reconstruction image D.
Advantages of the present invention:
The present invention proposes a kind of homogenization sparse representation method for the excessive problem of object vector degree of rarefication threshold value, and And it is based on the homogenization method, propose a kind of New Image compression sensing method of fusion message source and channel decoding.With existing side Method is compared, and this method can not only realize more accurate compression of images sensing reconstructing, and the hardware superiority high with throughput, To establish technical foundation for realization high-speed data acquisition transmission and mass data storage.
Detailed description of the invention
Fig. 1 is implementation flow chart of the present invention;
Fig. 2 is n rank wavelet transformation schematic diagram;
Fig. 3 is homogenization sparse representation method schematic diagram proposed by the present invention;
Fig. 4 is for various reconstructing methods to the reconstruct PSNR (dB) of image before and after homogenizing rarefaction representation;
Fig. 5 is reconstruct PSNR (dB) of the various restructing algorithms to different images.
Specific embodiment
The present invention mainly verifies the feasibility of the system model by the way of emulation experiment, and all steps are all by experiment Verifying, for the compression of images cognitive method for realizing fusion message source and channel decoding, specific implementation step is as follows:
Step 1: sparse transformation
The wavelet transform that a size is n × n is generated according to the method for the generation wavelet transform matrix of standard Matrix is denoted as W1, as shown in Fig. 2, by wavelet sub-band HH1, LH1, HL1, HH2, LH2, HL2..., LLnThe negated zero of coefficient it is general Rate is denoted as η respectively1, η2, η3, η4, η5, η6..., η3n+1
Step 2: homogenization
By wavelet sub-band according to the size order (η of degree of rarefication123456<…<η3n+1) by rows at one The fixed sparse matrix W of a line number value2, N number of data one vector to be observed of expression of its each column, as shown in Figure 3;
Step 3: sampling observation
Using the parity check matrix H of RS code to coefficient matrix W2It is observed;
Step 4: channel coding
The signal that sampling obtains is encoded using RS (n, k) code, RS (255,239) or RS generally can be used The code of (255,223);
Step 5: transmission
Signal by coded modulation, which enters channel, to be transmitted.
Step 6: decoding reconstruct
The codeword information received is demodulated first, then obtains syndrome through syndrome computation, through key equation Error location polynomial Λ (x) and error value multinomial Ω (x) is solved to obtain, is obtained correctly through money search and good fortune Buddhist nun algoritic module Codeword information finally searches for good fortune Buddhist nun algoritic module by key equation solving module and money again and obtains reconstruct column vector, and will weigh The column vector of structure is converted into coefficient matrices A.
Step 7: inverse homogenization
Wavelet matrix C is rearranged into according to the inverse process of step 2 to the coefficient matrices A that step 6 obtains;
Step 8: inverse sparse transformation
2-d discrete wavelet contravariant is carried out to the coefficient matrix C that step 7 generates with the 2-d discrete wavelet inverse transformation of standard It changes, obtains reconstruction image D.
Embodiment is applied to the warp that tetra- width resolution ratio of Lena, Cameraman, Fruits and Peppers is 256 × 256 In allusion quotation image, attached drawing 4 is sampled and again to image using different compressed sensing reconstructing methods under different sample rates The Y-PSNR obtained after building.Attached drawing 5 is reconstructed to different images using different compressed sensings under different sample rates The Y-PSNR that method is sampled and obtained after being rebuild.It is obvious that the more existing method of method of the invention has significantly Performance boost.

Claims (1)

1. a kind of compression of images cognitive method of fusion message source and channel decoding, including the following steps:
Step 1: sparse transformation
The wavelet transform matrix that a size is n × n is generated according to the method for generating wavelet transform matrix;
Step 2: homogenization
By the sparse matrix W that wavelet sub-band is fixed at a line number value by rows according to the size order of degree of rarefication2, it is each N number of data of column indicate a vector to be observed;
Step 3: sampling observation
Using the parity check matrix H of RS code to coefficient matrix W2It is observed, wherein H is the matrix of a 2k × N, 2k < < N;
Step 4: channel coding
The obtained signal of sampling is encoded using RS (n, k) code, generally can be used RS (255,239) or RS (255, 223) code;
Step 5: transmission
Signal by coded modulation, which enters channel, to be transmitted;
Step 6: decoding reconstruct
The codeword information received is demodulated first, then through the search of syndrome computation, key equation solving and money and good fortune Buddhist nun's algoritic module obtains correct codeword information, finally searches for good fortune Buddhist nun algoritic module by key equation solving module and money again and obtains To reconstruct column vector, and coefficient matrices A is converted by the column vector of reconstruct;
Step 7: inverse homogenization
Wavelet matrix C is rearranged into according to the inverse process of step 2 to the coefficient matrices A that step 6 obtains;
Step 8: inverse sparse transformation
2-d discrete wavelet inverse transformation is carried out to the coefficient matrix C that step 7 generates with the 2-d discrete wavelet inverse transformation of standard, is obtained To reconstruction image D.
CN201811069844.6A 2018-09-13 2018-09-13 Image compression sensing method fusing information source channel decoding Expired - Fee Related CN109194968B (en)

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CN110708561A (en) * 2019-09-12 2020-01-17 北京理工大学 Underwater information acquisition and transmission method based on compressed sensing and channel coding
CN111161128A (en) * 2019-11-18 2020-05-15 田树耀 Image transformation based on frequency domain direction filtering and application thereof in sparse decomposition
CN114467087A (en) * 2019-08-21 2022-05-10 西门子工业软件公司 Method, system, method of use, computer program and computer readable medium for storing and retrieving data to and from at least one data storage

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