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Relationship of Poisson Transform to Laguerre Expansions
December 1969 (vol. 18 no. 12)
pp. 1128-1131
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.
Index Terms:
Digital filtering, digital simulation, Laguerre functions, Laguerre polynomials, Poisson transform, signal representations.
Citation:
L.P. Bolgiano, M.J. Piovoso, "Relationship of Poisson Transform to Laguerre Expansions," IEEE Transactions on Computers, vol. 18, no. 12, pp. 1128-1131, Dec. 1969, doi:10.1109/T-C.1969.222596
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