A Downsampling and Reconstruction Method for Finite Innovation Rate Signals Based on Linear Regular Domain

Abstract

The invention relates to a method for down-sampling and reconstruction of signals with limited innovation rate based on a linear regular domain, and belongs to the technical field of digital signal processing. The innovation of this method is: based on the characterization of the signal in the linear regular domain, by designing a new type of sampling kernel with tight support, the finite innovation rate signal can be down-sampled, and then the signal reconstruction can be completed through high-resolution spectral estimation. . Compared with the prior art, according to the finite innovation rate of the signal and the four free parameters of the linear canonical transformation, the method designs different new tight-supported sampling kernels, which can realize the signal sampling with down-sampling data far lower than the traditional Nyquist sampling rate. Perfect reconstruction breaks the requirements and limitations of Nyquist sampling theory on signal band limit and sampling rate. It is of great significance to reduce the requirements of digital-to-analog conversion equipment, reduce storage space and computing energy consumption, and further promote the development of the information field.

Description

technical field [0001] The invention relates to a digital signal downsampling and reconstruction processing method, in particular to a finite innovation rate signal downsampling and reconstruction method based on a linear regular domain, and belongs to the technical field of digital signal processing. Background technique [0002] In the field of digital signal processing, the traditional Nyquist sampling theory requires a sampling rate greater than or equal to 2 times the bandwidth of the band-limited signal in order to reconstruct the signal perfectly without distortion. This method supports and realizes the transition from analog signal processing to digital signal processing. The leap in processing has greatly improved the performance of information systems such as radar, communications, and navigation. [0003] However, with the rapid development of the modern information field and the continuous improvement of the requirements of information systems such as radar, comm...

AI Technical Summary

Problems solved by technology

This type of regenerative kernel has obvious defects, that is, it is difficult to achieve perfect reconstruction of the pulse train composed of multiple signals, and it is rarely used in practical engineering

In addition, the downsampling theory is limited to the Fourier domain, and has not been promoted and applied in the more general transform domain. At the same time, it is difficult to obtain the fine features of the signal in the reconstruction.

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