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Keywords

Finite field, wave packet transform, dilation, periodic (finite size) data, prime integer

Abstract

In this article we introduce the notion of finite wave packet groups over finite fields as the finite group of dilations, translations, and modulations. Then we will present a unified theoretical linear algebra approach to the theory of wave packet transform (WPT) over finite fields. It is shown that each vector defined over a finite field can be represented as a coherent sum of finite wave packet group elements as well.

abs_vol30_pp507-529.pdf (21 kB)
Abstract

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