Space–bandwidth-efficient realizations of linear systems
Open accessAbstract
One can obtain either exact realizations or useful approximations of linear systems or matrix-vector products that arise in many different applications by implementing them in the form of multistage or multichannel fractional Fourier-domain filters, resulting in space-bandwidth-efficient systems with acceptable decreases in accuracy. Varying the number and the configuration of filters enables one to trade off between accuracy and efficiency in a flexible manner. The proposed scheme constitutes a systematic way of exploiting the regularity or structure of a given linear system or matrix, even when that structure is not readily apparent.
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In the linear-system-approximation application in [17] and [18], we can implement the fractional Fourier transform stages with this fast algorithm.
“For example, in the linear-system-approximation application in [17] and [18], we can implement the fractional Fourier transform stages with this fast algorithm.”
From The discrete fractional Fourier transform (2000) · cites this paper as [18]
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Cites
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Flagged first, then by citations
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Cited by
Sorted by citations
The discrete fractional Fourier transform
Candan, C., Kutay, M. A., & Ozaktas, H. M. (2000) · IEEE Transactions on Signal Processing · doi:10.1109/78.839980 · Cited by 683 · see citing works
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Self-citationSolution and cost analysis of general multi-channel and multi-stage filtering circuits
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Self-citation
- Authors
- Kutay, M. A., Erden, M. F., Ozaktas, H. M., Arıkan, O., Güleryüz, Ö., & Candan, Ç.
- Affiliations
- Bilkent University (TR)
- Tampere University of Technology (FI)
- Venue
- Optics Letters
- Publisher
- Optica Publishing Group
- Published
- 1998-07-15
- Volume
- 23
- Issue
- 14
- Pages
- 1069
- ISSN
- 0146-9592 (ISSN-L)
- 1539-4794
- OpenAlex
- W2036745975
- Semantic Scholar
- c2fcbfb8b7d8f5be20698554e651437a404ff1df
- Cited by
- 22
- References
- 13
- Citations by year
- 2023: 1 · 2022: 1 · 2021: 2 · 2014: 1
- FWCI
- 6.04
- Type
- journal article
- Language
- en
- Open access
- green
- hdl.handle.net
- Locations
- Optics Letters (publishedVersion)
- PubMed (publishedVersion)
- Bilkent University Institutional Repository (Bilkent University) (submittedVersion)
- OpenMETU (Middle East Technical University) (submittedVersion, cc-by-nc-nd)
- 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
- fractional Fourier transform, multistage filter, multichannel filters, matrix-vector multiplication, structured matrices, accuracy-efficiency trade-off
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