Underwater information anti-interference method based on compressed sensing and Renyi entropy

Abstract

The invention relates to an underwater information anti-interference method based on compressed sensing and Renyi entropy, and belongs to the technical field of underwater analog information conversion and compressed sensing. The method comprises the following steps: 1) reading underwater acquired information, calculating the Renyi entropy of each row, solving the row corresponding to the maximumvalue, and calculating the pixel maximum value of the row as the Renyi entropy threshold T1; 2) filtering by taking W * W as a unit based on T1; 3) carrying out discrete two-dimensional wavelet transform; 4) calculating Renyi entropy denoising thresholds of the high-frequency coefficients according to rows, and then denoising the high-frequency coefficients; 5) constructing a Gaussian random observation matrix to perform compressed observation on the denoised high-frequency coefficient; 6) performing AMP reconstruction on all the filtered high-frequency coefficients; and 7), performing waveletinverse transform on the low-frequency sub-coefficient and the reconstructed high-frequency sub-coefficient for obtaining recovered underwawter acquired information; according to the method, part ofnoise can be filtered out, the peak signal-to-noise ratio of the denoised underwater acquired image is effectively improved, and the average structural similarity of the denoised underwater image is optimized.

Description

technical field [0001] The invention relates to an underwater information anti-jamming method based on compressed sensing and Renyi entropy, and belongs to the technical field of underwater analog information conversion and compressed sensing. Background technique [0002] With the development of multimedia technology, the resolution of images and video signals has been continuously improved, and high-definition pictures and high-definition videos have gradually become the mainstream of information transmission. The underwater environment is relatively complex, and underwater shooting and transmission of information will be interfered to varying degrees. The compressed sensing (Compressive Sensing, CS) theory developed in recent years provides a way to collect signals. When the signal is sparse or compressible, the signal can be randomly observed through a measurement matrix at a low sampling rate. According to A small number of observations, through the optimization algori...

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Problems solved by technology

[0005] The purpose of the present invention is to address the technical defects of inaccurate received information and poor robustness caused by interference or noise in the pictures or videos collected in the underwater environment, and proposes The underwater information anti-interference method based on compressed sensing and Renyi entropy is aimed at the information collected underwater due to the influence of various interferences and noises, resulting in blurred information, noise and interference, resulting in low reconstruction robustness; The above method uses Renyi entropy to calculate the wavelet transform threshold, and then extracts sub-coefficients in different directions based on two-dimensional wavelet transform; then reduces the size of the observation matrix, and reconstructs the wavelet coefficient vector in combination with the approximate message passing method, so as to remove noise and interference from the information collected underwater the goal of

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