NEW SIGNAL REPRESENTATION BASED ON THE FRACTIONAL FOURIER-TRANSFORM - DEFINITIONS

被引：53

作者：

MENDLOVIC, D

ZALEVSKY, Z

DORSCH, RG

BITRAN, Y

LOHMANN, AW

OZAKTAS, H

机构：

[1] WEIZMANN INST SCI,DEPT PHYS COMPLEX SYST,IL-76100 REHOVOT,ISRAEL

[2] BILKENT UNIV,FAC ELECT ENGN,BILKENT,TURKEY

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 1995年 / 12卷 / 11期

关键词：

D O I：

10.1364/JOSAA.12.002424

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The fractional Fourier transform is a mathematical operation that generalizes the well-known Fourier transform. This operation has been shown to have physical and optical fundamental meanings, and it has been experimentally implemented by relatively simple optical setups. Based on the fractional Fourier-transform operation, a new space-frequency chart definition is introduced. By the application of various geometric operations on this new chart, such as radial and angular shearing and rotation, optical systems may be designed or analyzed. The field distribution, as well as full information about the spectrum and the space-bandwidth product, can be easily obtained in all the stages of the optical system. (C) 1995 Optical Society of America

引用

页码：2424 / 2431

页数：8

共 11 条

[1] WIGNER DISTRIBUTION FUNCTION APPLIED TO OPTICAL SIGNALS AND SYSTEMS [J].

BASTIAANS, MJ .

OPTICS COMMUNICATIONS, 1978, 25 (01) :26-30

[2] IMAGE ROTATION, WIGNER ROTATION, AND THE FRACTIONAL FOURIER-TRANSFORM [J].

LOHMANN, AW .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (10) :2181-2186

[3] RELATIONSHIPS BETWEEN THE RADON-WIGNER AND FRACTIONAL FOURIER-TRANSFORMS [J].

LOHMANN, AW ;

SOFFER, BH .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1994, 11 (06) :1798-1811

[4] FRACTIONAL FOURIER-TRANSFORMS AND THEIR OPTICAL IMPLEMENTATION .1. [J].

MENDLOVIC, D ;

OZAKTAS, HM .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (09) :1875-1881

[5] GRADED-INDEX FIBERS, WIGNER-DISTRIBUTION FUNCTIONS, AND THE FRACTIONAL FOURIER-TRANSFORM [J].

MENDLOVIC, D ;

OZAKTAS, HM ;

LOHMANN, AW .

APPLIED OPTICS, 1994, 33 (26) :6188-6193

[6] FRACTIONAL FOURIER-TRANSFORMS AND THEIR OPTICAL IMPLEMENTATION .2. [J].

OZAKTAS, HM ;

MENDLOVIC, D .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (12) :2522-2531

[7] CONVOLUTION, FILTERING, AND MULTIPLEXING IN FRACTIONAL FOURIER DOMAINS AND THEIR RELATION TO CHIRP AND WAVELET TRANSFORMS [J].

OZAKTAS, HM ;

BARSHAN, B ;

MENDLOVIC, D ;

ONURAL, L .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1994, 11 (02) :547-559

[8] FOURIER-TRANSFORMS OF FRACTIONAL ORDER AND THEIR OPTICAL INTERPRETATION [J].

OZAKTAS, HM ;

MENDLOVIC, D .

OPTICS COMMUNICATIONS, 1993, 101 (3-4) :163-169

[9] On the quantum correction for thermodynamic equilibrium [J].

Wigner, E .

PHYSICAL REVIEW, 1932, 40 (05) :0749-0759

[10] LINEAR SIGNAL SYNTHESIS USING THE RADON-WIGNER TRANSFORM [J].

WOOD, JC ;

BARRY, DT .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1994, 42 (08) :2105-2111

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