Optimal design of multirate systems with constraints

Author

Campbell, W.M. ; Parks, T.W.

Author_Institution

Motorola Inc., Scottsdale, AZ, USA

Volume

3

fYear

1997

fDate

21-24 Apr 1997

Firstpage

2065

Abstract

The design of constrained multirate systems using a relative l² error criterion is considered. A general algorithm is proposed to solve the problem. One application of the algorithm is the design of a new class of multirate filters for signal decomposition-projection filters. These multirate systems are projection operators that optimally approximate linear time-invariant filters in the l² norm. A second application of constrained multirate filter design is also presented-optimal design of multistage multirate systems. Examples illustrate the new design method and its advantages over design methods intended for linear time-invariant systems

Keywords

approximation theory; digital filters; error analysis; mathematical operators; signal processing; constrained multirate filter design; constrained multirate systems; l² norm; linear time-invariant filters; linear time-invariant systems; multistage multirate systems; optimal design; projection operators; relative l² error criterion; signal decomposition-projection filters; Algorithm design and analysis; Chebyshev approximation; Design methodology; Filter bank; Finite impulse response filter; Image reconstruction; Linear approximation; Matrix decomposition; Nonlinear filters; Signal design;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on

Conference_Location

Munich

ISSN

1520-6149

Print_ISBN

0-8186-7919-0

Type

conf

DOI

10.1109/ICASSP.1997.599353

Filename

599353