Cost-efficient approximation of linear systems with repeated and multi-channel filtering configurations
Open accessAbstract
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 reduction in accuracy. By varying the number and configuration of the 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.
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Cites
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Self-citation
- Authors
- Kutay, M. A., Erden, M. F., Ozaktas, H. M., Arikan, O., Candan, C., & Guleryuz, O.
- Affiliations
- Bilkent University (TR)
- ORCID
- Kutay, M.A.
- Venue
- Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181)
- Publisher
- IEEE
- Published
- 2002-11-27
- Volume
- 6
- Pages
- 3433-3436
- ISSN
- 1520-6149 (ISSN-L)
- OpenAlex
- W2130927911
- Cited by
- 8
- References
- 14
- FWCI
- 0.63
- Type
- conference paper
- Language
- en
- Open access
- green
- hdl.handle.net
- Locations
- IEEE International Conference on Acoustics Speech and Signal Processing (publishedVersion)
- Bilkent University Institutional Repository (Bilkent University) (submittedVersion)
- Topics
- Physical Sciences › Computer Science › Signal Processing › Digital Filter Design and Implementation
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical Analysis and Transform Methods
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Matrix Theory and Algorithms
- Keywords
- linear system approximation, fractional Fourier transform, multichannel filtering, matrix-vector multiplication, flow graphs, accuracy-efficiency trade-off, structured matrices
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