A way to reconstruct a signal

A signal and signal reconstruction technology, applied in the field of wireless communication, can solve the problems of large matrix order, increased computational complexity, and difficulty in application promotion.

Inactive Publication Date: 2017-03-15
UNIV OF ELECTRONICS SCI & TECH OF CHINA
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Problems solved by technology

[0007] The algorithm using eigenbasis combined with Bayesian compressed sensing needs to invert the matrix. In particular, the eigenexpansion basis needs to use the statistical characteristics of the signal to improve the recovery ability of the signal. The length of the signal is relatively long, and the order of the matrix will be Relatively large, the inversion operation will greatly increase the complexity of the operation, making it very difficult to apply and promote. Therefore, it is an innovative and important practical significance to study a low-complexity improved Bayesian compressed sensing algorithm. challenging task

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[0034] S1, the original signal Evenly divided into L segments, the length of each segment of the signal is equal and is an integer greater than 1, using a complete base Ψ makes the signal sparse in Ψ, each segment of the signal can be expanded in the same complete base, each segment of the signal Corresponding to different expansion coefficients , where Ψ is an orthogonal square matrix composed of characteristic basis vectors, L>1, and L is a natural number, a complete basis is a special matrix, and the column vectors of the matrix are linearly independent, and any signal can be It is represented by the linear sum of the column vectors in this matrix and the corresponding expansion coefficients. The eigenbasis vector refers to the eigenvector obtained after the eigenvalue decomposition of the matrix. These vectors are linearly independent and can be used to form a complete basis. Among them, Expand the coefficient range, which is a real number in [0.1,0], and the coefficien...

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Abstract

The invention belongs to the technical field of wireless communication, and specifically relates to a method for reconstructing a signal using a low-complexity improved Bayesian compressed sensing algorithm in an ultra-wideband communication system. The method firstly segments and filters the received signal, and then Using the measurement matrix to re-linearly combine the filtered signals, after a series of relatively simple iterative operations, the expansion coefficient of the original signal under the characteristic basis can be measured, thereby realizing the reconstruction of the original signal. On the one hand, the present invention makes full use of the characteristics of the eigenbase to improve the Bayesian compressed sensing algorithm, improves the recovery performance, and more importantly, avoids the complex matrix inversion process in the Bayesian algorithm. In particular, when the length of the signal It is relatively long, and when the order of the matrix is ​​large, it can effectively reduce the complexity of the signal recovery operation.

Description

technical field [0001] The invention belongs to the technical field of wireless communication, and in particular relates to a method for reconstructing a signal by using a low-complexity improved Bayesian compressed sensing algorithm in an ultra-wideband communication system. Background technique [0002] Since UWB (Ultra Wideband) signals are mostly narrow pulse signals in the time domain, their frequency domain bandwidth is too wide. According to the requirements of the Nyquist sampling law, the sampling rate will be as high as several GHz, so that the analog-to-digital converter The design brings huge challenges, and a large amount of data processing brings a great burden to the digital signal processor, the current hardware level is difficult to achieve the above requirements. Compressed sensing (CS, Compressed sensing), as a novel low-speed signal sampling theory, breaks through the limitation of Nyquist sampling law. Some literatures have carried out theoretical resear...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H03M7/30
Inventor 王梦瑶成先涛袁波岳光荣李少谦
Owner UNIV OF ELECTRONICS SCI & TECH OF CHINA
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