An Extremal Problem Concerning Finite Dimensional Subspaces of C A, B Pertinent in Signal Theory
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).
Journal of the Australian Mathematical Society Series B-Applied Mathematics
Halpern, P. H., Mohapatra, R. N., Ohara, P., Rodriguez, R. S. (1992). An Extremal Problem Concerning Finite Dimensional Subspaces of C A, B Pertinent in Signal Theory. Journal of the Australian Mathematical Society Series B-Applied Mathematics, 34.
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