A generalised Hadamard transform

Horadam, K 2005, 'A generalised Hadamard transform', in A. Grant (ed.) Proceedings of the 2005 IEEE International Symposium on Information Theory, Adelaide, Australia, 4-9 September 2005, pp. 1006-1008.

Document type: Conference Paper
Collection: Conference Papers

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Title A generalised Hadamard transform
Author(s) Horadam, K
Year 2005
Conference name 2005 IEEE International Symposium on Information Theory
Conference location Adelaide, Australia
Conference dates 4-9 September 2005
Proceedings title Proceedings of the 2005 IEEE International Symposium on Information Theory
Editor(s) A. Grant
Publisher IEEE
Place of publication Piscataway, USA
Start page 1006
End page 1008
Total pages 3
Abstract A generalised Hadamard transform for multiphase or multilevel signals is introduced, which includes the Fourier, generalised, discrete Fourier, Walsh-Hadamard and reverse jacket transforms. The jacket construction is formalised and shown to admit a tensor product decomposition. Primary matrices under this decomposition are identified. New examples of primary jacket matrices of orders 8 and 12 are presented.
Subjects Applied Discrete Mathematics
Keyword(s) jacket matrix
Walsh-Hadamard transform
DOI - identifier 10.1109/ISIT.2005.1523490
Copyright notice © 2005 IEEE
ISBN 0-7803-9151-9
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