Construction of an orthonormal complex multiresolution analysis
Journal
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISBN
9781479903566
Date Issued
2013-10-18
Author(s)
Wei, Liying
Abstract
We design two complex filters h[n], g[n]) for an orthogonal filter bank structure based on two atom functions ρ0α(t), ρ1/2α(t), such that: 1) they generate an orthonormal multiwavelet basis; 2) the two complex conjugate wavelets are Hilbert wavelets, i.e., their frequency responses are supported either on positive or negative frequencies; and 3) the two scaling functions are real. The developed complex wavelet transform (CWT) is non-redundant, nearly shift-invariant, and distinguishable for diagonal features. The distinguishability in diagonal features is demonstrated by comparison with real discrete wavelet transform. © 2013 IEEE.
Subjects
Non-redundant | orthonormal complex multiresolution analysis
Type
conference paper