Non-uniform sampling and reconstruction method of broadband multi-frequency sparse signals

Abstract

The present invention provides a non-uniform sampling and reconstruction method of broadband multi-frequency sparse signals. The method comprises: calculating signal initial frequency spectrum information according to a multi-threshold energy detection system; establishing a signal sampling model through adoption of the non-uniform sampling parameter of rapid search emission search signals according to the obtained information; estimating signal frequency spectrum information through adoption of a subspace method of estimation; obtaining a rebuilt matrix unknown vector; and rebuilding an original signal. The method provided by the invention firstly adopts the multi-threshold energy detection system to estimate the signal frequency spectrum information and select an appropriate sampling period, so that the computation cost is reduced; and moreover, a frequency spectrum estimation algorithm based on a CAPON is adopted in the frequency spectrum estimation, so that the signal frequency spectrum information is rapidly estimated. Through adoption of the multi-threshold energy detection algorithm and the frequency spectrum estimation algorithm based on the CAPON, the computation complexity is further reduced, the frequency spectrum estimation speed in the non-uniform sampling is accelerated, and the numerical value robustness of the algorithm in a limited signal to noise ratio is ensured.

Description

technical field [0001] The invention relates to the technical field of signal sampling and estimation algorithms, in particular to a method for non-uniform sampling and reconstruction of broadband multi-frequency sparse signals. Background technique [0002] 1) Cognitive radio [0003] With the development of wired communication and wireless communication related technologies, especially wireless communication services have been widely used in the world, the bandwidth that can be used for signal transmission in wireless communication is increasing, and people's life is inseparable from wireless communication technology. In order to avoid mutual interference between various user transmission services, wireless spectrum resources are divided into different frequency bands to transmit various services to ensure service reliability. However, as more and more wireless services are widely accepted and used, it directly leads to the increasing shortage of spectrum resources. [0...

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Problems solved by technology

[0019] Aiming at the problem of slow sampling speed of the traditional sampling algorithm, the present invention provides a method for non-uniform sampling and reconstruction of wideband multi-frequency sparse signals, based on Fourier transform signal under-sampling and spectrum estimation algorithm, the method first detects the signal spectrum energy Pre-estimate the spectral part information of the signal, and then select the appropriate non-uniform sampling parameters through the search algorithm, establish a signal spectrum estimation model, estimate the signal model through the DOA algorithm, and finally establish a signal non-uniform sampling reconstruction system according to the parameters and spectral information, and reconstruct Signal

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