From the rectangular to the quincunx Gabor lattice via fractional Fourier transformation

被引：24

作者：

Bastiaans, MJ ^{[1
]}

van Leest, AJ ^{[1
]}

机构：

[1] Tech Univ Eindhoven, Fac Elektrotech, NL-5600 MB Eindhoven, Netherlands

来源：

IEEE SIGNAL PROCESSING LETTERS | 1998年 / 5卷 / 08期

关键词：

fractional Fourier transform; Gabor transform; quincunx lattice; signal representations; time-frequency analysis;

D O I：

10.1109/97.704972

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：

Transformations of Gabor lattices have been associated with operations on the window functions that arise in Gabor theory. In particular, it has been shown that transformation from a rectangular to a quincunx lattice can be associated with fractional Fourier transformation. Since a Gaussian function, which plays an important role as a window function in Gabor theory, is an eigenfunction of fractional Fourier transformation, this transformation has a clear advantage over other operations that are used to transform a rectangular lattice into a quincunx lattice.

引用

页码：203 / 205

页数：3