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A multi-channel, multi-sampling rate theorem

A multi-channel, multi-sampling rate theorem
A multi-channel, multi-sampling rate theorem
The Möbius function is utilised to propose a class of multi-channel, multi-sampling rate theorems. Our construction facilitates a parallel decomposition of the Fourier transform into an array of general transform operators. A practical example is discussed that employs a complex square wave biorthonormal basis.
Multi-channel sampling, multi-rate sampling, Möbius function, step transform.
83-96
Nelson, James D B
c3aaed5d-59c0-4e24-817d-ecd0a2e5dc96
Zayed, A. I.
7577377a-0da0-40e0-b307-b688d838feff
Jerri, A. J.
05cf7c87-9b12-46b3-94c2-7cbc90010a49
Nelson, James D B
c3aaed5d-59c0-4e24-817d-ecd0a2e5dc96
Zayed, A. I.
7577377a-0da0-40e0-b307-b688d838feff
Jerri, A. J.
05cf7c87-9b12-46b3-94c2-7cbc90010a49

Nelson, James D B , Zayed, A. I. and Jerri, A. J. (eds.) (2003) A multi-channel, multi-sampling rate theorem. Sampling Theory in Signal and Image Processing:, 2 (1), 83-96.

Record type: Article

Abstract

The Möbius function is utilised to propose a class of multi-channel, multi-sampling rate theorems. Our construction facilitates a parallel decomposition of the Fourier transform into an array of general transform operators. A practical example is discussed that employs a complex square wave biorthonormal basis.

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More information

Published date: January 2003
Keywords: Multi-channel sampling, multi-rate sampling, Möbius function, step transform.
Organisations: Electronics & Computer Science

Identifiers

Local EPrints ID: 260861
URI: http://eprints.soton.ac.uk/id/eprint/260861
PURE UUID: a5ce6bd2-44d1-47c7-af76-2d667583cd0d

Catalogue record

Date deposited: 12 May 2005
Last modified: 10 Dec 2021 21:14

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Contributors

Author: James D B Nelson
Editor: A. I. Zayed
Editor: A. J. Jerri

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