Modeling and optimal compensation of quantization in multidimensional M-band filter bank

Author

Park, Kyusik ; Haddad, R.A.

Author_Institution

Dept. of Electr. Eng., Polytechnic Univ., Brooklyn, NY, USA

Volume

iii

fYear

1994

fDate

19-22 Apr 1994

Abstract

This paper provides a rigorous theory for modeling, and optimal compensation of quantization effects in multidimensional M-band FIR filter banks. Each pdf-optimized quantizer is modeled by a nonlinear gain-plus-additive uncorrelated noise and embedded into the subband structure. Using polyphase decomposition of the analysis/synthesis filter banks, we derive the exact expression for the output mean square quantization error and develop the technique for optimal compensation of quantization. Numerical design examples for the optimum nonseparable paraunitary and biorthogonal filter banks are developed with a quincunx subsampling lattice

Keywords

FIR filters; band-pass filters; error analysis; filtering theory; image processing; multidimensional digital filters; quantisation (signal); additive uncorrelated noise; analysis filter banks; biorthogonal filter banks; exact expression; image processing; modeling; multidimensional M-band filter bank; nonlinear gain; nonseparable paraunitary filter banks; optimal compensation; output mean square quantization error; polyphase decomposition; quincunx subsampling lattice; subband structure; synthesis filter banks; Additive noise; Data compression; Filter bank; Finite impulse response filter; Frequency conversion; Lattices; Matrix decomposition; Multidimensional systems; Quantization; Radio spectrum management;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference on

Conference_Location

Adelaide, SA

ISSN

1520-6149

Print_ISBN

0-7803-1775-0

Type

conf

DOI

10.1109/ICASSP.1994.390069

Filename

390069