Two dimensional discrete fractional Fourier transform

被引：99

作者：

Pei, SC ^{[1
]}

Yeh, MH ^{[1
]}

机构：

[1] Natl Taiwan Univ, Dept Elect Engn, Taipei 10764, Taiwan

来源：

SIGNAL PROCESSING | 1998年 / 67卷 / 01期

关键词：

Fourier transform; discrete fractional Fourier transform; 2D discrete orthogonal transform;

D O I：

10.1016/S0165-1684(98)00024-3

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Fractional Fourier transform (FRFT) performs a rotation of signals in the time-frequency plane, and it has many theories and applications in time-varying signal analysis. Because of the importance of fractional Fourier transform, the implementation of discrete fractional Fourier transform will be an important issue. Recently, a discrete fractional Fourier transform (DFRFT) with discrete Hermite eigenvectors has been proposed, and it can provide similar results to match the continuous outputs. On the other hand, the two dimensional continuous fractional Fourier transform is also proposed for 2D signal analysis. This paper develops a 2D DFRFT which can preserve the rotation properties and provide similar results to continuous FRFT. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：99 / 108

页数：10

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