Abstract
As shown in Yarlagadda and Hershey (1985), if we define I n as the identity matrix of order n and H’ n = 2-n/2Hn, then we can stochastically construct an operator, Ψn(α), as
where H n is the Hadamard matrix and H’ n is the normalized Hadamard matrix. The following identities are easily established:
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© 1997 Springer Science+Business Media New York
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Yarlagadda, R.K.R., Hershey, J.E. (1997). A Stochastic Operator Field. 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_22
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DOI: https://doi.org/10.1007/978-1-4615-6313-6_22
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7898-3
Online ISBN: 978-1-4615-6313-6
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