Title :
Orthonormal filter banks with linear phase filters
Author :
Soman, A.K. ; Vaidyanathan, P.P. ; Nguyen, T.Q.
Author_Institution :
Dept. of Electron. Eng., California Inst. of Technol., Pasadena, CA, USA
Abstract :
Maximally decimated perfect-reconstruction filter banks which are used to decompose signals into subbands are discussed. Paraunitary systems in which each individual filter in the analysis and synthesis banks has linear phase are described. Several theoretical questions pertaining to linear phase paraunitary systems are answered. A factorization for such systems that is minimal as well as complete is presented. The number of parameters in the optimization process is reduced by structurally imposing the additional condition that the filters satisfy pairwise mirror-image symmetry in the frequency domain. Examples of M-band linear phase orthonormal wavelets are also presented
Keywords :
digital filters; frequency-domain analysis; wavelet transforms; digital filters; frequency domain; linear phase filters; linear phase orthonormal wavelets; linear phase paraunitary systems; orthonormal filter banks; pairwise mirror-image symmetry; paraunitary systems; perfect-reconstruction filter banks; signal decomposition; Channel bank filters; Design optimization; Filter bank; Finite impulse response filter; Frequency domain analysis; Image coding; Image reconstruction; Matrix decomposition; Nonlinear filters; Signal synthesis;
Conference_Titel :
Signals, Systems and Computers, 1992. 1992 Conference Record of The Twenty-Sixth Asilomar Conference on
Conference_Location :
Pacific Grove, CA
Print_ISBN :
0-8186-3160-0
DOI :
10.1109/ACSSC.1992.269157
