Ghaani Farashahi, A orcid.org/0000-0003-1580-512X (2015) Wave Packet Transform over Finite Fields. The Electronic Journal of Linear Algebra, 30. pp. 507-529.
Abstract
This article introduces the abstract notion of finite wave packet groups over finite fields as the finite group of dilations, translations, and modulations. Then it presents a unified theoretical linear algebra approach to the theory of wave packet transforms (WPT) over finite fields. It is shown that each vector defined over a finite field can be represented as a finite coherent sum of wave packet coefficients as well.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | Finite field, Wave packet group, Wave packet representation, Wave packet transform, Dilation operator, Periodic (finite size) data, Prime integer |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 05 Apr 2023 11:00 |
Last Modified: | 05 Apr 2023 11:00 |
Status: | Published |
Publisher: | International Linear Algebra Society. |
Identification Number: | 10.13001/1081-3810.2903 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:158421 |
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