Efficient computation of joint fractional Fourier domain signal representation

被引：2

作者：

Durak, Lutfiye ^{[1
]}

Ozdemir, Ahmet Kemal ^{[2
]}

Arikan, Orhan ^{[3
]}

机构：

[1] Yildiz Tech Univ, Dept Elect & Commun Engn, TR-34349 Istanbul, Turkey

[2] WesternGeco AS, N-1383 Asker, Norway

[3] Bilkent Univ, Dept Elect Engn, TR-06800 Ankara, Turkey

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2008年 / 25卷 / 03期

关键词：

D O I：

10.1364/JOSAA.25.000765

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A joint fractional domain signal representation is proposed based on an intuitive understanding from a time-frequency distribution of signals that designates the joint time and frequency energy content. The joint fractional signal representation (JFSR) of a signal is so designed that its projections onto the defining joint fractional Fourier domains give the modulus square of the fractional Fourier transform of the signal at the corresponding orders. We derive properties of the JFSR, including its relations to quadratic time-frequency representations and fractional Fourier transformations, which include the oblique projections of the JFSR. We present a fast algorithm to compute radial slices of the JFSR and the results are shown for various signals at different fractionally ordered domains. (C) 2008 Optical Society of America.

引用

页码：765 / 772

页数：8

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