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Submarine sound signal compression matrix optimization method based on discrete cosine transform

A technology of discrete cosine transform and compression matrix, which is applied in the field of underwater acoustics and underwater acoustic signal processing, and can solve the problem of limited recovery accuracy of compressed sensing algorithm

Inactive Publication Date: 2018-11-23
NORTHWESTERN POLYTECHNICAL UNIV
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Problems solved by technology

[0005] In order to avoid the shortcomings of the existing technology, the present invention proposes an underwater acoustic signal compression matrix optimization method based on discrete cosine transform, which overcomes the problems of limited recovery accuracy of the compressed sensing algorithm corresponding to the existing compression matrix.

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  • Submarine sound signal compression matrix optimization method based on discrete cosine transform
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  • Submarine sound signal compression matrix optimization method based on discrete cosine transform

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Embodiment Construction

[0031] Now in conjunction with embodiment, accompanying drawing, the present invention will be further described:

[0032] refer to figure 1 , using 8PSK encoding, combined with carrier frequency modulation, the carrier frequency is 1kHz, the sampling frequency is 4kHz, the signal-to-noise ratio of the received original signal is set to 0 to 25dB, and the change step is 5dB; during the compression process, the number of rows of the matrix is ​​set is 64, the number of columns is 128, that is, the compression rate is 2, the step size parameter is η is 0.1, the threshold value is set as Th is 0.13, the number of iterations L is 10, and the number of iterations K is 50.

[0033] (1) Let Φ be the compression matrix, y be the measurement signal, and x be the underwater acoustic signal to be compressed, where the dimension of Φ is M×N, M

[0034] y=Φx (1)

[0035] (2) The measurement process is an over-complete system. For the single-car...

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Abstract

The invention relates to a submarine sound signal compression matrix optimization method based on discrete cosine transform. Firstly, discrete cosine transform is performed on a single-frequency submarine sound signal to obtain a sparse expression, and a compression matrix corresponding to the sparse expression is composed of Gaussian randomly generated elements under initial conditions. An objective function is constructed by using minimum correlation between a dictionary matrix and the compression matrix, iterative optimization is performed in combination with a steepest gradient method to find an optimized compression matrix, the single-frequency submarine sound signal is compressed by the compression matrix, the compressed signal is transmitted, and the signal is restored at a receiving end in combination with an orthogonal matching tracking restoration algorithm. According to the submarine sound signal compression matrix optimization method provided by the invention, a Gaussian random matrix is optimized under a steepest gradient method optimization strategy to obtain the optimized compression matrix. Since the cross correlation between the compression matrix and the dictionary matrix is minimal, the optimized compression matrix generated by the submarine sound signal compression matrix optimization method provided by the invention has great advantages of restoring sparsesignals.

Description

technical field [0001] The invention belongs to the field of underwater acoustics and underwater acoustic signal processing, and relates to a method for optimizing an underwater acoustic signal compression matrix based on discrete cosine transform. The optimized compression matrix will improve the compression and recovery performance of single-frequency underwater acoustic signals, and is suitable for compression Matrix optimization, marine hydroacoustic data compression and recovery, etc. Background technique [0002] The problems of underwater acoustic data compression and restoration can be attributed to the expression and restoration of sparse signals, and the dictionary matrix constructed based on the randomly generated compression matrix combined with discrete cosine transform is used for compression and sparse expression estimation of underwater acoustic signals. Currently, theoretical properties are analyzed for the tight frame between a given dictionary matrix and i...

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Application Information

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IPC IPC(8): H03M7/30
CPCH03M7/3068
Inventor 伍飞云杨坤德段睿田天
Owner NORTHWESTERN POLYTECHNICAL UNIV
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