Signal compressive sensing method based on block diagonal measurement matrix structure

A technology of observation matrix and signal compression, applied in code conversion, electrical components, etc., can solve problems such as the difficulty of hardware implementation of compressed sensing observation matrix, and achieve the effect of easy hardware implementation, good reconstruction effect, and satisfying irrelevance.

Inactive Publication Date: 2014-01-22
INST OF MICROELECTRONICS CHINESE ACAD OF SCI
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Problems solved by technology

[0008] In view of this, the main purpose of the present invention is to provide a signal compression sensing method based on block diagonal array observation matrix construction, to solve the difficult problem of compression sensing observation matrix hardware implementation

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  • Signal compressive sensing method based on block diagonal measurement matrix structure
  • Signal compressive sensing method based on block diagonal measurement matrix structure
  • Signal compressive sensing method based on block diagonal measurement matrix structure

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[0027] In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be described in further detail below in conjunction with specific embodiments and with reference to the accompanying drawings.

[0028] Such as figure 1 as shown, figure 1 It is a flow chart of the method of signal compression sensing based on block diagonal observation matrix construction provided by the present invention, the method first obtains the period Q=2 by the linear feedback shift register q A pseudo-random sequence of -1, q is the number of stages of the shift register, and a sequence whose length is Q is selected as L; then a M×N matrix Φ of all 0s is constructed, wherein N=C×M, C is an integer greater than or equal to 1, and N=Q+1; then the matrix Φ is regarded as C square matrices of M×M, and the elements on the main diagonal of each square matrix are the element values ​​of L in sequence, thus The matrix Φ is the observation matri...

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Abstract

The invention discloses a signal compressive sensing method based on a block diagonal measurement matrix structure. The method comprises the following steps: first obtaining a pseudo-random sequence of which the period Q = 2q - 1 by a linear feedback shift register, wherein q refers to the grade of the shift register, and one sequence with a Q length is selected at random and marked as L; then, constructing an M*N all-zero matrix phi, wherein N = C * M, C is an integer which is greater than or equal to 1, and N = Q + 1; next, treating the matrix phi as C M*M square matrixes, wherein elements on the main diagonal line of each square matrix are sequentially the element values of the L, so that the matrix phi is defined as the measurement matrix; then, utilizing the obtained measurement matrix phi to project an original high-dimensional signal x to a low-dimensional space y, and reconstructing an original signal x by the y to realize the compressive sensing of the signal. The signal compressive sensing method has the advantages of excellent reconstructing effect and easiness in hardware implementation.

Description

technical field [0001] The invention relates to the technical field of signal compression sensing, in particular to a signal compression sensing method based on block diagonal observation matrix construction, which mainly aims at the problem of difficult hardware implementation of the current observation matrix, and has the advantages of simple hardware implementation and good reconstruction effect The advantages. Background technique [0002] The process of traditional signal acquisition and processing mainly includes four parts: sampling, compression, transmission, and decompression. The sampling process must satisfy the Nyquist sampling theorem, which states: In order to avoid loss and overlap of information, restore the original Signal, the sampling frequency must be at least twice the highest frequency of the signal, and the sampling frequency in practical applications is generally five to ten times the highest frequency of the signal. [0003] With the continuous deve...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H03M7/30
Inventor 李冬梅李小静梁圣法张浩罗庆谢常青刘明
Owner INST OF MICROELECTRONICS CHINESE ACAD OF SCI
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