Synthesis of pattern recognition filters for fractional Fourier processing

Adolf W. Lohmann; Zeev Zalevsky; David Mendlovic

doi:10.1016/0030-4018(95)00080-1

Synthesis of pattern recognition filters for fractional Fourier processing

Adolf W. Lohmann
, Zeev Zalevsky
, David Mendlovic

Friedrich-Alexander University Erlangen-Nürnberg
Tel Aviv University

Research output: Contribution to journal › Article › peer-review

52 Scopus citations

Abstract

Pattern recognition, based on matched filtering, can be generalized by replacing the standard Fourier operations by fractional Fourier operations. One important consequence of this is that the system is no longer space invariant. We study the impact of space variance, and point out that space variance may be desirable under certain circumstances. We illustrate our theoretical conclusions by simulated experiments.

Original language	English
Pages (from-to)	199-204
Number of pages	6
Journal	Optics Communications
Volume	128
Issue number	4-6
DOIs	https://doi.org/10.1016/0030-4018(95)00080-1
State	Published - 15 Jul 1996
Externally published	Yes

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10.1016/0030-4018(95)00080-1

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title = "Synthesis of pattern recognition filters for fractional Fourier processing",

abstract = "Pattern recognition, based on matched filtering, can be generalized by replacing the standard Fourier operations by fractional Fourier operations. One important consequence of this is that the system is no longer space invariant. We study the impact of space variance, and point out that space variance may be desirable under certain circumstances. We illustrate our theoretical conclusions by simulated experiments.",

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AU - Mendlovic, David

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AB - Pattern recognition, based on matched filtering, can be generalized by replacing the standard Fourier operations by fractional Fourier operations. One important consequence of this is that the system is no longer space invariant. We study the impact of space variance, and point out that space variance may be desirable under certain circumstances. We illustrate our theoretical conclusions by simulated experiments.

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JO - Optics Communications

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Synthesis of pattern recognition filters for fractional Fourier processing

Abstract

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