Space-bandwidth-efficient realizations of linear systems

被引:18
作者
Kutay, MA [1 ]
Erden, MF
Ozaktas, HM
Arikan, O
Guleryuz, O
Candan, C
机构
[1] Bilkent Univ, Dept Elect Engn, TR-06533 Ankara, Turkey
[2] Tampere Univ Technol, Signal Proc Grp, FIN-33101 Tampere, Finland
关键词
D O I
10.1364/OL.23.001069
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
One can obtain either exact realizations or useful approximations of linear systems or matrix-vector products that arise in many different applications by implementing them in the form of multistage or multichannel fractional Fourier-domain filters, resulting in space-bandwidth-efficient systems with acceptable decreases in accuracy. Varying the number and the configuration of filters enables one to trade off between accuracy and efficiency in a flexible manner. The proposed scheme constitutes a systematic way of exploiting the regularity or structure of a given linear system or matrix, even when that structure is not readily apparent. (C) 1998 Optical Society of America.
引用
收藏
页码:1069 / 1071
页数:3
相关论文
共 14 条
[1]   THE FRACTIONAL FOURIER-TRANSFORM AND TIME-FREQUENCY REPRESENTATIONS [J].
ALMEIDA, LB .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1994, 42 (11) :3084-3091
[2]   Optimal filtering with linear canonical transformations [J].
Barshan, B ;
Kutay, MA ;
Ozaktas, HM .
OPTICS COMMUNICATIONS, 1997, 135 (1-3) :32-36
[3]   Synthesis of mutual intensity distributions using the fractional Fourier transform [J].
Erden, MF ;
Ozaktas, HM ;
Mendlovic, D .
OPTICS COMMUNICATIONS, 1996, 125 (4-6) :288-301
[4]   Synthesis of general linear systems with repeated filtering in consecutive fractional Fourier domains [J].
Erden, MF ;
Ozaktas, HM .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1998, 15 (06) :1647-1657
[5]  
ERDEN MF, 1997, THESIS BILKENT U ANK
[6]   Optimal image restoration with the fractional Fourier transform [J].
Kutay, MA ;
Ozaktas, HM .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1998, 15 (04) :825-833
[7]   Optimal filtering in fractional Fourier domains [J].
Kutay, MA ;
Ozaktas, HM ;
Arikan, O ;
Onural, L .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1997, 45 (05) :1129-1143
[8]   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
[9]   OPTICAL-COORDINATE TRANSFORMATION-METHODS AND OPTICAL-INTERCONNECTION ARCHITECTURES [J].
MENDLOVIC, D ;
OZAKTAS, HM .
APPLIED OPTICS, 1993, 32 (26) :5119-5124
[10]   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