Title :
The design of Hilbert transform pairs of wavelet bases via the flat delay filter
Author :
Selesnick, Ivan W.
Author_Institution :
Polytech. Univ., Brooklyn, NY, USA
Abstract :
This paper describes a simple procedure, based on spectral factorization, for the design of a pair of orthonormal wavelet bases where the two wavelets form a Hilbert transform pair. The two scaling filters respectively have the numerator and denominator of the flat delay all-pass filter as factors. The design procedure allows for an arbitrary number of zero wavelet moments to be specified. A Matlab program for the procedure is given, and examples are also given to illustrate the results
Keywords :
Hilbert transforms; all-pass filters; delay filters; signal resolution; spectral analysis; wavelet transforms; Hilbert transform pairs; Matlab program; all-pass filter; flat delay filter; orthonormal wavelet bases; scaling filters; spectral factorization; wavelet bases; zero wavelet moments; Algorithm design and analysis; Discrete wavelet transforms; Encoding; Finite impulse response filter; Fourier transforms; IIR filters; Noise reduction; Nonlinear equations; Propagation delay; Wavelet transforms;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on
Conference_Location :
Salt Lake City, UT
Print_ISBN :
0-7803-7041-4
DOI :
10.1109/ICASSP.2001.940639
