Filter-wavelet bench relations
Digital filters - Frequency conversion and filter banks
Article REF: E3162 V1
Filter-wavelet bench relations
Digital filters - Frequency conversion and filter banks

Author : Jacques PRADO

Publication date: November 10, 2000, Review date: March 14, 2018 | Lire en français

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3. Filter-wavelet bench relations

Wavelet analysis is also known as multi-resolution analysis or time-scale representation of signals, and is equivalent to the time-frequency analysis of the short-term Fourier transform or other transforms such as Gabor or Wigner-Ville. The continuous wavelet transform (CWT) was introduced by Goupillaud, Grossman and Morlet . It is defined by : TOC[x(t) ; a, b]=

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