Average Walsh Power Spectrum for Periodic Signals

Its’hak Dinstein; Tuvia Silberberg

doi:10.1109/TEMC.1981.303982

Average Walsh Power Spectrum for Periodic Signals

Its’hak Dinstein
, Tuvia Silberberg

Department of Electrical & Computer Engineering

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	407-412
Number of pages	6
Journal	IEEE Transactions on Electromagnetic Compatibility
Volume	EMC-23
Issue number	4
DOIs	https://doi.org/10.1109/TEMC.1981.303982
State	Published - 1 Jan 1981

Keywords

Walsh function
autocorrelation
average power spectrum
periodic signals

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Condensed Matter Physics
Electrical and Electronic Engineering

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10.1109/TEMC.1981.303982

Cite this

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N2 - 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.

AB - 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.

KW - Walsh function

KW - autocorrelation

KW - average power spectrum

KW - periodic signals

UR - https://www.scopus.com/pages/publications/0019636010

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M3 - Article

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Average Walsh Power Spectrum for Periodic Signals

Abstract

Keywords

ASJC Scopus subject areas

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