A Generalised Hadamard Transform
Information Theory
2016-11-17 v1 Discrete Mathematics
math.IT
Abstract
A Generalised Hadamard Transform for multi-phase 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.
Keywords
Cite
@article{arxiv.cs/0508104,
title = {A Generalised Hadamard Transform},
author = {K. J. Horadam},
journal= {arXiv preprint arXiv:cs/0508104},
year = {2016}
}
Comments
To appear in the proceedings of the 2005 IEEE International Symposium on Information Theory, Adelaide, Australia, September 4-9, 2005