Power filtering of nth order in the fractional Fourier domain

被引:5
作者
Alieva, T [1 ]
Calvo, ML
Bastiaans, MJ
机构
[1] Univ Complutense Madrid, Fac Fis, Dept Opt, E-28040 Madrid, Spain
[2] Eindhoven Univ Technol, Fac Elektrotech, NL-5600 MB Eindhoven, Netherlands
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 36期
关键词
D O I
10.1088/0305-4470/35/36/306
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The main properties of the power filtering operation in the fractional Fourier domain and its relationship to the differentiation operation are considered. The application of linear power filtering for solving the phase retrieval problem from intensity distributions only is proposed. The optical configuration for the experimental realization of the method is discussed.
引用
收藏
页码:7779 / 7785
页数:7
相关论文
共 11 条
[1]  
ABRAMOWITZ M, 1965, HDB MATH FUNCTIONS, P12
[2]   Fractional convolution and correlation via operator methods and an application to detection of linear FM signals [J].
Akay, O ;
Boudreaux-Bartels, GF .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2001, 49 (05) :979-993
[3]   THE FRACTIONAL FOURIER-TRANSFORM AND TIME-FREQUENCY REPRESENTATIONS [J].
ALMEIDA, LB .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1994, 42 (11) :3084-3091
[4]   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
[5]   ON NAMIASS FRACTIONAL FOURIER-TRANSFORMS [J].
MCBRIDE, AC ;
KERR, FH .
IMA JOURNAL OF APPLIED MATHEMATICS, 1987, 39 (02) :159-175
[6]   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
[7]   FRACTIONAL CORRELATION [J].
MENDLOVIC, D ;
OZAKTAS, HM ;
LOHMANN, AW .
APPLIED OPTICS, 1995, 34 (02) :303-309
[8]   Fractional convolution [J].
Mustard, D .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1998, 40 :257-265
[9]  
NAMIAS V, 1980, J I MATH APPL, V25, P241
[10]  
Ozaktas H., 2001, The Fractional Fourier Transform with Applications in Optics and Signal Processing