Title :
On M-channel linear phase FIR filter banks and application in image compression
Author :
Tran, Trac Duy ; Nguyen, Truong Q.
Author_Institution :
Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA
fDate :
9/1/1997 12:00:00 AM
Abstract :
This paper investigates the theory and structure of a large subclass of M-channel linear-phase perfect-reconstruction FIR filter banks-systems with analysis and synthesis filters of length Li=KiM+β, where β is an arbitrary integer, 0⩽β<M, and Ki is any positive integer. For this subclass of systems, we first investigate the necessary conditions for the existence of linear-phase perfect-reconstruction filter banks (LPPRFBs). Next, we develop a complete and minimal factorization for all even-channel linear-phase paraunitary systems (the most general lapped orthogonal transforms to date). Finally, several design examples as well as comparisons with previous generalized lapped orthogonal transforms (GenLOTs) in image compression are presented to confirm the validity of the theory
Keywords :
band-pass filters; data compression; delay circuits; digital filters; filtering theory; image coding; image reconstruction; signal synthesis; transform coding; transforms; M-channel linear phase FIR filter banks; analysis filters; even channel linear phase paraunitary systems; filter length; general lapped orthogonal transforms; image compression; linear phase perfect reconstruction filter banks; minimal factorization; necessary conditions; synthesis filters; Band pass filters; Filter bank; Filtering theory; Finite impulse response filter; Frequency; Image coding; Image reconstruction; Signal analysis; Signal synthesis; Speech;
Journal_Title :
Signal Processing, IEEE Transactions on
