A New Hadamard Basis and Its Implication for Signaling

A commonly used technique for achieving nominal spectrum spreading is to use a family of Hadamard or Walsh-Hadamard basis vectors. We can develop a new basis out of the functions presented in that preserves its relation to the Sylvester-Hadamard matrix in sign sequency of its basis vectors but does not consist of {±1} elements

R. K. Rao Yarlagadda; John E. Hershey

2011

Scholarcy highlights

  • A commonly used technique for achieving nominal spectrum spreading is to use a family of Hadamard or Walsh-Hadamard basis vectors. We can develop a new basis out of the functions presented in 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
  • These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves

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