Wavelet Decomposition & Peculiar Changing Point of High Frequency Wavelet Difference

Xu Zhang · Dianli zidonghua shebei · 2001

A transform matrix B[n×n] for decomposing the sampled signal F[n] into Harr Wavelets series coefficients C[n] is presented,where n is the exponent of 2.As the inverse transform matrix B -1 =B T,the wavelet transform matrix method is then quite convenient for decomposing C=B·F and reconstructing F=B T·C.If we first let C[k]=0,where k from 1 to n/2,then define the high frequency wavelet difference C1[k]=C[k] -C[k-1],the peculiar changing point for the sampled signal F[n] will be presented.Some examples are illustrated.

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