Relationship of Poisson Transform to Laguerre Expansions

  • Authors:
  • L. P. Bolgiano;M. J. Piovoso

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1969

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Abstract

Sequences with properties which make them attractive discrete-time signals for simulating analog signals are generated by the Poisson transform. It is shown that a finite number of Poisson transform sequence elements gives a signal representation equivalent to a best mean square representation with either Laguerre polynomials or functions.