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A New Hadamard Basis and Its Implication for Signaling

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Hadamard Matrix Analysis and Synthesis

Abstract

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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© 1997 Springer Science+Business Media New York

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Yarlagadda, R.K.R., Hershey, J.E. (1997). A New Hadamard Basis and Its Implication for Signaling. In: Hadamard Matrix Analysis and Synthesis. The Springer International Series in Engineering and Computer Science, vol 383. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6313-6_21

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  • DOI: https://doi.org/10.1007/978-1-4615-6313-6_21

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7898-3

  • Online ISBN: 978-1-4615-6313-6

  • eBook Packages: Springer Book Archive

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