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Sparse multiband signal reconstruction method based on conjugate gradient tracking

A technology of signal reconstruction and conjugate gradient, applied in electrical components, code conversion and other directions, can solve the problems of difficulty in engineering implementation, computational complexity and large amount of calculation, and achieve the effect of accurate reconstruction

Inactive Publication Date: 2017-12-15
DALIAN UNIVERSITY
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Problems solved by technology

[0003] In compressed sensing theory, the OMPMMV algorithm for multi-band signal reconstruction requires pseudo-inverse calculations in each iteration process, which has a large computational complexity and amount of calculation, and is difficult to implement in engineering

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  • Sparse multiband signal reconstruction method based on conjugate gradient tracking
  • Sparse multiband signal reconstruction method based on conjugate gradient tracking
  • Sparse multiband signal reconstruction method based on conjugate gradient tracking

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Embodiment 1

[0098] The embodiments of the present invention are implemented on the premise of the technical solutions of the present invention, and detailed implementation methods and specific operation processes are given, but the protection scope of the present invention is not limited to the following embodiments.

[0099] Step 1: Establish a multi-band signal model, including multiple linear frequency modulation (LFM) signal components, whose Fourier transform support set is N disjoint frequency bands, and the bandwidth of each frequency band does not exceed B, as shown in the attached figure 2 shown.

[0100] The LFM signal is sparse in the frequency domain, and multiple signals can form a sparse multi-band signal, which can be reconstructed using the CS algorithm. Select 6 narrow-band LFM signals, the signal composition is shown in Table 1, the pulse width is 6us, and the spectrum is as attached image 3 (The lower sideband of each frequency band in the figure is the initial frequ...

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Abstract

The invention discloses a sparse multiband signal reconstruction method based on conjugate gradient tracking. The method comprises the following steps: firstly, establishing a signal reconstruction model; then constructing a reconstruction framework; and finally using an MMV-CGP algorithm to reconstruct a signal, wherein the algorithm converts an OMPMMV algorithm solution problem into an unconstrained optimization problem, and a greedy selection method similar to the OMPMMV algorithm is adopted and is replaced into pseudo inverse operation by conjugate gradient optimization, and thus the purpose of reducing the computational complexity and the computational cost in a signal reconstruction process is achieved.

Description

technical field [0001] The invention belongs to the technical field of optimized digital signal processing, specifically a sparse multi-band signal reconstruction method based on conjugate gradient tracking, which reduces the computational complexity and amount and makes it easy for engineering realization. Background technique [0002] In the Nyquist sampling theorem, it is required that the sampling rate must be greater than or equal to twice the highest frequency or bandwidth of the signal. In recent years, a new compressive sensing (Compressive Sensing, CS) theory has brought breakthroughs in data acquisition technology. In this theoretical framework, the sampling rate is no longer determined by the highest frequency or bandwidth of the signal, but by the signal structure and effective information. As long as the signal is sparse in a certain transform domain, it can be much lower than the Nyquis The effective information of the signal is obtained at the rate of the spe...

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Application Information

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IPC IPC(8): H03M7/30
CPCH03M7/55H03M7/6041H03M7/6047
Inventor 于楠
Owner DALIAN UNIVERSITY
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