Title :
The design of arbitrary-length cosine-modulated filter banks and wavelets, satisfying perfect reconstruction
Author :
Nguyen, Truong Q. ; Koilpillai, R. David
Author_Institution :
Lincoln Lab., MIT, Lexington, MA, USA
Abstract :
FIR filter banks which satisfy the perfect-reconstruction (PR) property can be obtained by cosine modulation of a linear-phase prototype filter of length N=2mM, where M is the number of channels. A PR cosine-modulated filter bank is presented for which the length of the prototype filter is arbitrary. Additional regularity conditions are imposed on the filter bank to obtain the cosine-modulated orthonormal bases of compactly supported wavelets. Design examples are given
Keywords :
adaptive filters; digital filters; filtering and prediction theory; wavelet transforms; FIR filter banks; arbitrary-length; cosine-modulated filter banks; linear-phase prototype filter; perfect reconstruction; wavelets; Channel bank filters; Costs; Filter bank; Finite impulse response filter; Laboratories; Prototypes; Signal analysis; Signal resolution; Signal synthesis; Wavelet analysis;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1992., Proceedings of the IEEE-SP International Symposium
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-0805-0
DOI :
10.1109/TFTSA.1992.274179
