Some novel multirate architectures for filter realization with reduced multiplicative complexity

Author

Gadre, Vikram M. ; Patney, R.K.

Author_Institution

Dept. of Electr. Eng., Indian Inst. of Technol., Delhi, India

Volume

42

Issue

9

fYear

1994

fDate

9/1/1994 12:00:00 AM

Firstpage

2492

Lastpage

2495

Abstract

Presents some novel multirate architectures based on multirate subsystems in feedback configuration for the realization of recursive (AR) filters with reduced multiplicative complexity. Included in this are composite architectures in which there are multiple multirate subsystems with different multirate factors. This can be extended to ARMA transfer functions in which multirate subsystems occur both in feedback and feedforward configuration. The tradeoffs between additive and multiplicative complexity in such architectures are discussed. A summary of results on the effects of coefficient perturbations in such architectures due to finite word length is presented. For exact analysis of such perturbed composite multirate systems, it is shown that these systems can be equivalently represented by a MIMO multirate system

Keywords

computational complexity; digital filters; stochastic processes; time series; transfer functions; ARMA transfer functions; MIMO multirate system; additive complexity; coefficient perturbations; composite architectures; feedback configuration; feedforward configuration; filter realization; finite word length; multiplicative complexity; multirate architectures; multirate subsystems; recursive filters; Added delay; Convolution; Feedback; Filtering algorithms; Finite impulse response filter; Hardware; IIR filters; MIMO; Transfer functions;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.317870

Filename

317870