Title :
FIR principal component filter banks
Author :
Xuan, Bo ; Bamberger, Roberto H.
Author_Institution :
Sch. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA
fDate :
4/1/1998 12:00:00 AM
Abstract :
Two-dimensional (2-D) principal component filter banks (PCFBs) of finite impulse response (FIR) are proposed. For 2-D signals, among all uniform paraunitary FIR analysis/synthesis filter banks, the FIR PCFBs have the most energy compaction and maximize the arithmetic mean to geometric mean ratio (AM/GM ratio) of subband variances, which is the theoretic coding gain (TCC) of the systems under proper assumptions. The theoretic proof and design techniques are provided. Several special cases are discussed. Experimental results show the potential power of the FIR PCFBs
Keywords :
FIR filters; band-pass filters; encoding; filtering theory; quadratic programming; signal synthesis; two-dimensional digital filters; 2D FIR principal component filter banks; 2D signals; FIR analysis/synthesis filter banks; arithmetic mean to geometric mean ratio; energy compaction; experimental results; finite impulse response; sequential quadratic programming algorithm; subband variances; theoretic coding gain; uniform paraunitary filter banks; Additive noise; Arithmetic; Autocorrelation; Channel bank filters; Compaction; Filter bank; Finite impulse response filter; IIR filters; Signal analysis; Signal synthesis;
Journal_Title :
Signal Processing, IEEE Transactions on
