Synthesis of general linear systems with repeated filtering in consecutive fractional Fourier domains

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Author
Erden, M. F.
Ozaktas, H. M.
Date
1998Journal Title
J of Optical Soc Am. A Optics
Print ISSN
1084-7529
Publisher
Optical Society of America
Volume
15
Issue
6
Pages
1647 - 1657
Language
English
Type
Article
Metadata
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http://hdl.handle.net/11693/10916Abstract
The optical and digital implementations of general linear systems are costly. Through several examples we show that either exact realizations or useful approximations of these systems may be implemented in the form of repeated-filtering operations in consecutive fractional Fourier domains. These implementations are much cheaper than direct implementations of general linear systems. Thus we may significantly decrease the implementation costs of general linear systems with little or no decrease in performance by synthesizing them with the proposed repeated-filtering method. (C) 1998 Optical Society of America.