Title :
Paraunitary Filter Bank Design using Derivative Constraints
Author :
Vouras, Peter G. ; Tran, Trac D.
Author_Institution :
Dept. of Electr. & Comput. Eng., Johns Hopkins Univ., Baltimore, MD, USA
Abstract :
In this paper two new algorithms are presented for designing finite impulse response (FIR) paraunitary (PU) filter banks. Each algorithm minimizes the mean square error between the desired response and the FIR PU approximation subject to constraints on either the derivative of the complex frequency response or the power response of individual channel filters. The derivative constraints are useful for shaping the response of a channel filter at particular frequencies of interest. An example illustrating the utility of derivative constraints is presented whereby a FIR PU approximation is derived for an ideal principal component filter bank (PCFB).
Keywords :
FIR filters; channel bank filters; matrix algebra; mean square error methods; FIR filter banks; channel filters; derivative constraints; finite impulse response filter banks; ideal principal component filter bank; mean square error; paraunitary filter bank design; Algorithm design and analysis; Approximation algorithms; Channel bank filters; Engineering profession; Filter bank; Finite impulse response filter; Frequency response; Matrix decomposition; Mean square error methods; Virtual colonoscopy; Givens factorization; derivative constraints; paraunitary filter bank design; principal component filter bank;
Conference_Titel :
Acoustics, Speech and Signal Processing, 2007. ICASSP 2007. IEEE International Conference on
Conference_Location :
Honolulu, HI
Print_ISBN :
1-4244-0727-3
DOI :
10.1109/ICASSP.2007.367121
