It has been described to me that the wavelet and scaling functions can be computed using the Cascade Algorithm applied to the low and high pass filter coefficients.
Where can I find some proofs of how this happens?
2026-03-26 23:07:46.1774566466
Cascade algorithm for wavelet and scaling functions
53 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
Some sources that may be useful include:
"Wavelets and Subband Coding" by Martin Vetterli and Jelena Kovacevic, which provides a comprehensive introduction to wavelets and subband coding, including the derivation of wavelet and scaling functions using the Cascade Algorithm.
"A Wavelet Tour of Signal Processing" by Stephane Mallat, which also provides a detailed introduction to wavelets and subband coding, and includes a proof of how the wavelet and scaling functions can be computed using the Cascade Algorithm.
Research papers on wavelet transforms and subband coding, which can be found through academic databases such as the IEEE Xplore Digital Library or the ACM Digital Library, many of them will provide detailed proofs of the theory behind the wavelet and scaling functions computation.