Average Walsh Power Spectrum for Periodic Signals

Its’hak Dinstein, Tuvia Silberberg

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 languageEnglish
Pages (from-to)407-412
Number of pages6
JournalIEEE Transactions on Electromagnetic Compatibility
Issue number4
StatePublished - 1 Jan 1981


  • 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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