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Multiband Signal Reconstruction Method Based on Aggregate Sparse Regularized Orthogonal Matching Pursuit Algorithm

A technology of orthogonal matching pursuit and signal reconstruction, applied in the field of information and communication, to achieve the effect of high reconstruction probability

Active Publication Date: 2022-08-09
HARBIN INST OF TECH
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Problems solved by technology

[0005] The present invention is to solve the following problems of the existing synchronous orthogonal matching pursuit algorithm based on the Xampling system:

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  • Multiband Signal Reconstruction Method Based on Aggregate Sparse Regularized Orthogonal Matching Pursuit Algorithm
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  • Multiband Signal Reconstruction Method Based on Aggregate Sparse Regularized Orthogonal Matching Pursuit Algorithm

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specific Embodiment approach 1

[0083] Specific implementation mode 1. Combination Figure 4 Describe this embodiment, the multi-band signal reconstruction method based on the clustered sparse regularization orthogonal matching pursuit algorithm, the specific process is: input the observation matrix A, Number of subbands (joint sparsity) N, number of measurements p. Initialize the support set candidate set residual The number of iterations k=0. I p is a unit matrix of order p.

[0084] Repeat the following steps when k≤N is satisfied:

[0085]

[0086] set ξ i And the following p-1 elements are divided into a group, and the elements in each group are summed, denoted as b i , i∈{1,2,…,pL-p+1}; find b i The N elements with the largest absolute value in the matrix form a matrix B, and the corresponding index value i is stored in the candidate set J; B is divided into several groups, denoted as n=1,2..., the elements in each group satisfy |b i |j |, i, j∈J; find The sum of the squares of th...

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Abstract

A multi-band signal reconstruction method based on the clustered sparse regularization orthogonal matching pursuit algorithm, and relates to the field of information and communication technology. It is designed to solve the problem of unknown sparsity after sampling from a modulated broadband converter under the Xampling framework and transformed by a continuous-finite module. The problem of recovering the original multi-band signal from the multi-observation vector of . Since many analog signals in the signal processing process satisfy the multi-band signal model, the present invention has a great effect on applying the compressed sensing theory to analog signals. The basic idea of ​​this algorithm is to transform the infinite observation vector problem into a single observation vector problem. The realization method is to vectorize the measured value column, expand the observation matrix through the Kronecker product, use the two and the signal sparsity to estimate the support set of the original signal, and finally reconstruct the signal, and use regularization in the process of estimating the support set. change thinking.

Description

technical field [0001] The invention relates to the technical field of information and communication, in particular to a Xampling-based compressive sensing reconstruction method for analog signals. Background technique [0002] In today's society, with the rapid growth of information demand, the signal carrier frequency is getting higher and higher. According to the traditional signal or image sampling method, only the sampling rate is not less than twice the highest frequency of the signal (ie: Nyquist rate), can the original signal be accurately recovered from the sample point. This condition makes the signal processing need higher and higher sampling frequency, and the processing becomes more and more difficult. At the same time, in practical applications, the redundancy of the signal is often reduced by recombining the signal without losing useful information, and the efficiency of signal processing, transmission and storage is improved. data, actually causing a waste ...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H03M7/30
CPCH03M7/30Y02D30/70
Inventor 贾敏史瑶杨健顾学迈郭庆刘晓锋
Owner HARBIN INST OF TECH
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