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An extremal problem concerning finite dimensional subspaces of C[a, b] pertinent in signal theory

Published online by Cambridge University Press:  17 February 2009

P. H. Halpern ,
R. N. Mohapatra ,
P. J. O'Hara  and
R. S. Rodriguez
P. H. Halpern
Affiliation:
Central Florida Technical Services, Inc., 118 Old Hickory Court, Longwood, Florida 32750
R. N. Mohapatra
Affiliation:
Department of Mathematics, University of Central FLorida, Orlando, Florida 32816
P. J. O'Hara
Affiliation:
Deceased.
R. S. Rodriguez
Affiliation:
Department of Mathematics, University of Central FLorida, Orlando, Florida 32816
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Abstract

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Increase in dimensionality of the signal space for a fixed bandwidth leads to exponential growth in the number of different signals which must be encoded. In this paper we determine the best subspace of orthogonal functions which can be used to minimise the worst ratio of peak power to RMS power. A mathematical formulation of this problem has been made and it has been found that the Fourier basis satisfies the required constraints of optimality in terms of form factor (peak/RMS ratio).

Type
Research Article
Information
The ANZIAM Journal , Volume 34 , Issue 1 , July 1992 , pp. 35 - 42
Copyright
Copyright © Australian Mathematical Society 1992

References

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