Continuous wavelet transform space-scale analysis

C. Space-Scale Analysis Based on Continuous Wavelet Transform Low-Frequency Rhythms in Human DNA Sequences... 

The continuous wavelet transform (WT) is a space-scale analysis that consists in expanding signals in terms of wavelets that are constructed from a single function, the analyzing wavelet /, by means of dilations and translations [13, 27-29]. When using the successive derivatives of the Gaussian function as analyzing wavelets, namely... 

The last chapter of the volume, contributed by Carlos R. Han%, is devoted to recent developments in the incorporation of Continuous Wavelet Transform analysis into quantum operator theory. The focus is to combine generalized, scale translation-dependent moments to facihtate the quantum problem into an extended space-scale parameter representatiem. The proposed approach yields a new quantization theory suited to the scalet-wavelet formalism. 

Advanced signal processing techniques provides more elaborated approaches to the analysis and interpretation. In our study, we continue to promote the use of a continuous wavelet transform. We believe that its higher computational complexity are comparable to the Fourier transformation but the continuous wavelet transform makes the convenient assessment of amplitude, scale and phase of signal oscillations. Wavelet transform allows us to isolate a given structure in time and frequency space. Let us define the wavelet trans-... 

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