Broadband submarine sound signal processing method of wavelet trans-dimension correlation filtering
A technology of correlation filtering and underwater acoustic signal, which is applied in the direction of instruments, character and pattern recognition, computer components, etc., can solve the problems of ship radiation noise interference, noise interference, etc., and achieve the effect of avoiding sampling loss and improving data processing accuracy
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[0029] The implementation process of the present invention will be further described below in conjunction with specific formula:
[0030] Let the maximum scale of wavelet decomposition be J. Wf(j,n) represents the discrete wavelet transform of the noisy signal f at position n on scale j, and takes the transformed values of adjacent scales for correlation calculation, defined as:
[0031]
[0032] Among them, l represents the number of scales participating in the correlation operation, and j<J-l+1. Since the width of the signal mutation part increases with the scale, the adjacent mutation points will also affect each other on the coarse scale. Therefore, generally take l=2, there are:
[0033] Corr 2 (j,n)=Wf(j,n)Wf(j+1,n) (2)
[0034] where Corr 2 (j,n) is the correlation coefficient at point n on scale j.
[0035] After performing cross-scale correlation operations, for the case of scale j ≥ 3, formula (2) is expressed as:
[0036] Corr 2 (j,n)=Wf(j,n)Wf(j-k,n) (...
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