A Generalised Hadamard Transform

Details A Generalised Hadamard Transform A Generalised Hadamard Transform

2005-08-24

arxiv.org/abs/cs/0508104v1

Computer Science

Information Theory

To appear in the proceedings of the 2005 IEEE International Symposium on Information Theory, Adelaide, Australia, September 4-

Scientific paper

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.

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