The Fractional Wave Packet Transform

被引：53

作者：

Huang, Y ^{[1
]}

Suter, B ^{[1
]}

机构：

[1] USAF, Inst Technol, Dept Elect & Comp Engn, AFITENG, Wright Patterson AFB, OH 45433 USA

来源：

MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING | 1998年 / 9卷 / 04期

关键词：

Fractional Fourier Transform; wavelet; Wave Packet Transform;

D O I：

10.1023/A:1008414608970

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We introduce the concept of the Fractional Wave Packet Transform(FRWPT), based on the idea of the Fractional Fourier Transform(FRFT) and Wave Packet Transform(WPT). We show a version of the resolution of the identity and some properties of FRWPT connected with those of FRFT and WPT.

引用

页码：399 / 402

页数：4

共 11 条

[1] ALMEIDA L, 1994, IEEE T SIGNAL P, V42
[2] Cohen L, 1995, Prentice Hall signal processing series
[3] THE WAVELET TRANSFORM, TIME-FREQUENCY LOCALIZATION AND SIGNAL ANALYSIS
DAUBECHIES, I
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (05) : 961 - 1005
[4] GUILLEMAIN P, 1996, P IEEE, V84
[5] Lee S.-Y., 1994, OPT ENG, V33, P1159
[6] IMAGE ROTATION, WIGNER ROTATION, AND THE FRACTIONAL FOURIER-TRANSFORM
LOHMANN, AW
[J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (10): : 2181 - 2186
[7] RELATIONSHIPS BETWEEN THE RADON-WIGNER AND FRACTIONAL FOURIER-TRANSFORMS
LOHMANN, AW
SOFFER, BH
[J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1994, 11 (06): : 1798 - 1811
[8] FOURIER-TRANSFORMS OF FRACTIONAL ORDER AND THEIR OPTICAL INTERPRETATION
OZAKTAS, HM
MENDLOVIC, D
[J]. OPTICS COMMUNICATIONS, 1993, 101 (3-4) : 163 - 169
[9] Posch T. E., 1992, Proceedings of the IEEE-SP International Symposium Time-Frequency and Time-Scale Analysis (Cat.No.92TH0478-8), P143, DOI 10.1109/TFTSA.1992.274216
[10] TORRESANI B, 1992, ANN I H POINCARE-PHY, V56, P215

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