Title :
Linear phase wavelets: theory and design
Author :
Herley, Cormac ; Vetterli, Martin
Author_Institution :
Columbia Univ., New York, NY, USA
Abstract :
The authors present new theoretical results on FIR (finite impulse response) filter banks based on Diophantine equations and continued fraction expansions and use them to show how general wavelets may be designed. They further show that by considering a noncausal IIR (infinite impulse response) structure it is possible to have a linear phase paraunitary solution. A number of design examples illustrating the advantages of the new results are presented
Keywords :
digital filters; filtering and prediction theory; signal processing; Diophantine equations; FIR filter banks; continued fraction expansions; finite impulse response; infinite impulse response; linear phase paraunitary solution; linear phase wavelets; noncausal IIR filter; signal processing; Convergence; Discrete wavelet transforms; Equations; Filter bank; Finite impulse response filter; Fourier transforms; IIR filters; Large-scale systems; Sufficient conditions; Waves;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on
Conference_Location :
Toronto, Ont.
Print_ISBN :
0-7803-0003-3
DOI :
10.1109/ICASSP.1991.150799
