Signal reconstruction technical scheme for sampling with rate lower than Nyquist rate

A technology of signal reconstruction and technical solutions, which is applied to the shaping network, electrical components, transmission systems, etc. The effect of reducing calculation cost and reducing signal processing time

Inactive Publication Date: 2010-10-20
NAVAL AERONAUTICAL & ASTRONAUTICAL UNIV PLA
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Problems solved by technology

For wideband signals, sampling at the Nyquist rate will put enormous pressure on signal acquisition, storag

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  • Signal reconstruction technical scheme for sampling with rate lower than Nyquist rate
  • Signal reconstruction technical scheme for sampling with rate lower than Nyquist rate
  • Signal reconstruction technical scheme for sampling with rate lower than Nyquist rate

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[0041] The present invention provides a technical solution for signal reconstruction under sampling at a rate lower than Nyquist, which meets the needs of reducing signal sampling frequency and data transmission and storage costs, thereby significantly reducing signal processing time and calculation costs and accurately reconstructing signals. . The technical scheme of signal reconstruction under Nyquist rate sampling of the present invention, at first obtain transformation basis matrix (to be reconstructed signal x should be sparse on it), then it is modulated with cutting sequence, then It is filtered by a digital filter, and then the filtered signal is down-sampled to generate a compressed sensing operator. Finally, a reconstructed signal is obtained by solving an optimization problem and undergoing sparse inverse transformation. Here, the transform base matrix can be a Fourier base matrix, or a wavelet base matrix, a total variation norm matrix of a bounded variogram, a Ga...

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Abstract

The invention relates to a signal reconstruction technical scheme for sampling with rate lower than nyquist rate. The signal reconstruction scheme comprises the following steps of: firstly, solving a transformation basic matrix (signals x to be reconstructed thereon are sparse on the transformation basic matrix), modulating the transformation basic matrix with a cutting sequence, filtering by means of a digital filter, sampling the filtered signals, then generating compressive sensing arithmetic operators, and finally obtaining reconstructed signals by solving an optimized problem through the sparse inverse transformation. The invention aims to provide the signal reconstruction technical scheme for sampling with rate lower than the Nyquist rate, satisfy the needs for people in solving the contradictions between the increasingly widening signal bandwidth as well as the increasingly quickening sampling frequency and the requirements for reducing processing time and various costs reduce the signal sampling frequency and data transmission and storage cost, further remarkably shorten the signal processing time and reduce the computational expense, and accurately reconstruct signals.

Description

technical field [0001] The invention relates to a technical method for signal reconstruction, which belongs to the field of signal acquisition and reconstruction. Background technique [0002] Nyquist sampling theorem is an important theoretical basis to guide how to sample. It states that the sampling rate must be more than twice the highest frequency of the signal to accurately reconstruct the signal. For wideband signals, sampling at the Nyquist rate will put enormous pressure on signal acquisition, storage, and processing, and the Nyquist sampling theorem does not take advantage of the sparsity of such signals. The theory of Compressive Sensing (CS) points out that as long as the signal is compressible or sparse in a certain transform domain, then an observation matrix unrelated to the transform base can be used to project the transformed high-dimensional signal to a low dimensional space, and then by solving an optimization problem, the original signal can be reconstr...

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Application Information

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IPC IPC(8): H04B1/707H04L25/03
Inventor 芮国胜田文飚王林刘瑜
Owner NAVAL AERONAUTICAL & ASTRONAUTICAL UNIV PLA
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