Digital audio watermarking method based on invariant characteristic of histogram
A digital audio and histogram technology, applied in speech analysis, instruments, etc., can solve problems such as difficulty in resisting malicious attacks, high false alarm rate, and unfavorable practical applications.
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[0079] The specific implementation process of the digital audio watermarking method based on the histogram invariant characteristic of the present invention is as follows:
[0080] 1 Non-subsampled discrete wavelet transform (UDWT)
[0081] The non-subsampling discrete wavelet transform (UDWT) has been mentioned many times in previous algorithms, but the name is different. The main characteristics of the non-subsampled discrete wavelet transform are redundancy, translation invariance and linear distribution. The non-subsampled DWT provides a better continuous DWT than the approximate discrete wavelet transform (DWT). Its specific operation method is as follows:
[0082] In an orthogonal wavelet transform, there is a scaling function φ(t) and a mother wavelet ψ(t), and the scaling function φ(t) can be obtained from the multiresolution function L 2 (R), the function {2 m / 2 φ(2 m / 2 l-n)} is V m The orthonormal basis of the function {2 m / 2 ψ(2 m / 2 l-n)} is W m Orthogonal ...
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