Vector filter banks and multirate filter banks with block sampling

Author

Xia, Xiang-Gen ; Suter, Bruce W.

Author_Institution

Dept. of Electr. & Comput. Eng., Air Force Inst. of Technol., Wright-Patterson AFB, OH, USA

Volume

2

fYear

1994

fDate

31 Oct-2 Nov 1994

Firstpage

1020

Abstract

We study general vector filter banks where the input signals and transfer functions in conventional multirate filter banks are replaced by vector signals and transfer matrices, respectively. We show that multirate filter banks with block sampling and linear time invariant transfer functions studied by Khansari and Leon-Garcia (see IEEE Trans. on Signal Processing, vol.41, p.3365-3376, Dec. 1993) are special vector filter banks where the transfer matrices are pseudo-circulant. We then present necessary and sufficient conditions for the alias free property, FIR systems with FIR inverses, paraunitariness for vector filter banks. We also present a necessary and sufficient condition for paraunitary multirate filter banks with block sampling

Keywords

band-pass filters; filtering theory; signal sampling; transfer function matrices; vectors; FIR inverses; FIR systems; alias free property; block sampling; input signals; linear time invariant transfer functions; multirate filter banks; necessary conditions; paraunitary multirate filter banks; pseudo-circulant matrices; sufficient conditions; transfer functions; transfer matrices; vector filter banks; Adaptive signal processing; Channel bank filters; Data compression; Filter bank; Finite impulse response filter; Sampling methods; Signal sampling; Sufficient conditions; Transfer functions; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems and Computers, 1994. 1994 Conference Record of the Twenty-Eighth Asilomar Conference on

Conference_Location

Pacific Grove, CA

ISSN

1058-6393

Print_ISBN

0-8186-6405-3

Type

conf

DOI

10.1109/ACSSC.1994.471614

Filename

471614