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A New Hadamard Basis And Its Implication For Signaling

Rao Yarlagadda, John E. Hershey
Published 1997 · Mathematics

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A commonly used technique for achieving nominal spectrum spreading is to use a family of Hadamard or Walsh-Hadamard basis vectors. [See Wilson and Lakshman, (1968).] We can develop a new basis out of the functions presented in (267) that preserves its relation to the Sylvester-Hadamard matrix in sign sequency of its basis vectors but does not consist of {±1} elements. This new basis may be well suited for some new signaling and filtering designs.

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