Average Walsh Power Spectrum for Periodic Signals

Average Walsh Power Spectrum for Periodic Signals

A circular shift-invariant Walsh power spectrum for deterministic periodic sequences is defined. For a sequence with period N, the power spectrum is the average of the Walsh power spectra of all N possible distinct circular shifts. The Average Walsh Power Spectrum (AWPS) consists of (N/2) + 1 coeffi...

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Bibliographic Details
Published in:IEEE transactions on electromagnetic compatibility Vol. EMC-23; no. 4; pp. 407 - 412
Main Authors: Dinstein, Its'Hak, Silberberg, Tuvia
Format: Journal Article
Language:English
Published: IEEE 01-11-1981
Subjects:
autocorrelation
average power spectrum
periodic signals
Walsh function
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Description
Summary:A circular shift-invariant Walsh power spectrum for deterministic periodic sequences is defined. For a sequence with period N, the power spectrum is the average of the Walsh power spectra of all N possible distinct circular shifts. The Average Walsh Power Spectrum (AWPS) consists of (N/2) + 1 coefficients, each representing a distinct sequency. A fast transformation from the arithmetic autocorrelation function of a periodic sequence to its AWPS is presented.
ISSN:0018-9375
1558-187X
DOI:10.1109/TEMC.1981.303982