Cost-efficient approximation of linear systems with repeated and multi-channel filtering configurations

Date
1998-05
Advisor
Instructor
Source Title
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Print ISSN
0736-7791
Electronic ISSN
Publisher
IEEE
Volume
Issue
Pages
3433 - 3436
Language
English
Type
Conference Paper
Journal Title
Journal ISSN
Volume Title
Abstract

It is possible to obtain either exact realizations or useful approximations of linear systems or matrix-vector products arising in many different applications, by synthesizing them in the form of repeated or multi-channel filtering operations in fractional Fourier domains, resulting in much more efficient implementations with acceptable decreases in accuracy. By varying the number and configuration of filter blocks, which may take the form of arbitrary flow graphs, it is possible to trade off between accuracy and efficiency in the desired manner. The proposed scheme constitutes a systematic way of exploiting the information inherent in the regularity or structure of a given linear system or matrix, even when that structure is not readily apparent.

Course
Other identifiers
Book Title
Keywords
Approximation theory, Communication channels (information theory), Fourier transforms, Graph theory, Linear systems, Matrix algebra, Signal processing, Fractional Fourier domains, Multichannel filtering, Optical matrix vector multiplier architectures, Signal filtering and prediction, Linear systems, Cost-efficient, Efficient implementation, Fractional Fourier domains, Matrix-vector products, Multi-channel filtering, Trade off
Citation
Published Version (Please cite this version)