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
January 2003
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), .
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.
This record has no associated files available for download.
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
Export record
Contributors
Author:
James D B Nelson
Editor:
A. I. Zayed
Editor:
A. J. Jerri
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics