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This means that there has to exist an auxiliary function, the father wavelet φ in L 2 (R), and that a is an integer. A typical choice is a = 2 and b = 1. The most famous pair of father and mother wavelets is the Daubechies 4-tap wavelet. Note that not every orthonormal discrete wavelet basis can be associated to a multiresolution analysis; for ...
The Morlet wavelet transform is capable of capturing short bursts of repeating and alternating music notes with a clear start and end time for each note. [citation needed] A modified morlet wavelet was proposed to extract melody from polyphonic music. [11] This methodology is designed for the detection of closed frequency.
Comparison of wave, wavelet, chirp, and chirplet [1] Chirplet in a computer-mediated reality environment. In signal processing, the chirplet transform is an inner product of an input signal with a family of analysis primitives called chirplets. [2] [3]
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In definition, the continuous wavelet transform is a convolution of the input data sequence with a set of functions generated by the mother wavelet. The convolution can be computed by using a fast Fourier transform (FFT) algorithm. Normally, the output (,) is a real valued function except when the mother wavelet is complex. A complex mother ...
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