An Extremal Problem Concerning Finite Dimensional Subspaces of C A, B Pertinent in Signal Theory

    Authors

    P. H. Halpern; R. N. Mohapatra; P. J. Ohara;R. S. Rodriguez

    Comments

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    Keywords

    Mathematics, Applied

    Abstract

    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 Title

    Journal of the Australian Mathematical Society Series B-Applied Mathematics

    Volume

    34

    Publication Date

    1-1-1992

    Document Type

    Article

    Language

    English

    First Page

    35

    Last Page

    42

    WOS Identifier

    WOS:A1992JC50700004

    ISSN

    0334-2700

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