Wreath product cyclic group-based convolution: A new class of noncommutative filters

被引：0

作者：

Mirchandani, G ^{[1
]}

Foote, R ^{[1
]}

Rockmore, D ^{[1
]}

Healy, D ^{[1
]}

Olson, T ^{[1
]}

机构：

[1] Univ Vermont, Dept Elect & Comp Engn, Burlington, VT 05405 USA

来源：

2000 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, PROCEEDINGS, VOLS I-VI | 2000年

关键词：

D O I：

暂无

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The theory of spectral analysis of a particular class of noncommutative groups-wreath products of cyclic groups-has been shown to have a group-based convolution that leads to a new class of noncommutative filters. These filters, with their group and scale-selective properties and their relation;hip to DFT filter banks, offer some intriguing possibilities in signal processing applications. In this paper we give a brief summary of some of the basic properties of convolution with wreath product cyclic groups and illustrate those properties through art example. Applications to some basic signal processing tasks are proposed.

引用

页码：356 / 359

页数：4