δ function discontinuities in maximum spectral energy probability density function of pseudorandom sequences

M. Haspel, B. Weiss

Research output: Contribution to journalArticlepeer-review

Abstract

The probability density function (PDF) of normalised maximum spectral energy of pseudorandom binary sequences {1, -1} is approximated empirically as a prologue for the statistical connection of spectral flatness to sequence correlation properties. The startling appearance of apparently anomalous δ function discontinuities in the resulting PDF is explained in terms of the random walk problem, and suggests possible distinct properties of sequences linked to those discontinuities.

Original languageEnglish
Pages (from-to)1340-1342
Number of pages3
JournalElectronics Letters
Volume32
Issue number15
DOIs
StatePublished - 18 Jul 1996

Keywords

  • Information theory
  • Spectral analysis
  • Statistics for communications

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