Wreath product cyclic group-based convolution: a new class of noncommutative filters
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چکیده
The theory of spectral analysis of a particular class of non-commutative groups|wreath products of cyclic groups| has been shown to have a group-based convolution that leads to a new class of noncommutative lters. These lters, with their group and scale-selective properties and their relationship to DFT lter banks, ooer some intriguing possibilities in signal processing applications. In this paper we give a brief summary of some of the basic properties of convolu-tion with wreath product cyclic groups and illustrate those properties through an example. Applications to some basic signal processing tasks are proposed.
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تاریخ انتشار 2000