Cost-efficient approximation of linear systems with repeated and multi-channel filtering configurations
Author
Kutay, Mehmet Alper
Erden, M. F.
Özaktaş, Haldun M.
Arıkan, Orhan
Candan, Ç.
Güleryüz, Ö.
Date
1998-05Source Title
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Print ISSN
0736-7791
Publisher
IEEE
Pages
3433 - 3436
Language
English
Type
Conference PaperItem Usage Stats
174
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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.
Keywords
Approximation theoryCommunication 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