Filtering in fractional Fourier domains and their relation to chirp transforms

Haldun M. Ozaktas; Billur Barshan; Levent Onural; David Mendlovic

Filtering in fractional Fourier domains and their relation to chirp transforms

Haldun M. Ozaktas^*, Billur Barshan, Levent Onural, David Mendlovic

^*Corresponding author for this work

Bilkent University

Research output: Contribution to conference › Paper › peer-review

7 Scopus citations

Abstract

Fractional Fourier transforms, which are related to chirp and wavelet transforms, lead to the notion of fractional Fourier domains. The concept of filtering of signals in fractional domains is developed, revealing that under certain conditions one can improve upon the special cases of these operations in the conventional space and frequency domains. Because of the ease of performing the fractional Fourier transform optically, these operations are relevant for optical information processing.

Original language	English
Pages	of 3/-
State	Published - Aug 1994
Externally published	Yes
Event	Proceedings of the 7th Mediterranean Electrotechnical Conference - MELECON. Part 1 (of 3) - Antalya, Turkey Duration: 12 Apr 1994 → 14 Apr 1994

Conference

Conference	Proceedings of the 7th Mediterranean Electrotechnical Conference - MELECON. Part 1 (of 3)
City	Antalya, Turkey
Period	12/04/94 → 14/04/94

Cite this

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title = "Filtering in fractional Fourier domains and their relation to chirp transforms",

abstract = "Fractional Fourier transforms, which are related to chirp and wavelet transforms, lead to the notion of fractional Fourier domains. The concept of filtering of signals in fractional domains is developed, revealing that under certain conditions one can improve upon the special cases of these operations in the conventional space and frequency domains. Because of the ease of performing the fractional Fourier transform optically, these operations are relevant for optical information processing.",

author = "Ozaktas, {Haldun M.} and Billur Barshan and Levent Onural and David Mendlovic",

year = "1994",

month = aug,

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T1 - Filtering in fractional Fourier domains and their relation to chirp transforms

AU - Ozaktas, Haldun M.

AU - Barshan, Billur

AU - Onural, Levent

AU - Mendlovic, David

PY - 1994/8

Y1 - 1994/8

N2 - Fractional Fourier transforms, which are related to chirp and wavelet transforms, lead to the notion of fractional Fourier domains. The concept of filtering of signals in fractional domains is developed, revealing that under certain conditions one can improve upon the special cases of these operations in the conventional space and frequency domains. Because of the ease of performing the fractional Fourier transform optically, these operations are relevant for optical information processing.

AB - Fractional Fourier transforms, which are related to chirp and wavelet transforms, lead to the notion of fractional Fourier domains. The concept of filtering of signals in fractional domains is developed, revealing that under certain conditions one can improve upon the special cases of these operations in the conventional space and frequency domains. Because of the ease of performing the fractional Fourier transform optically, these operations are relevant for optical information processing.

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T2 - Proceedings of the 7th Mediterranean Electrotechnical Conference - MELECON. Part 1 (of 3)

Y2 - 12 April 1994 through 14 April 1994

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Filtering in fractional Fourier domains and their relation to chirp transforms

Abstract

Conference

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