Statistical analysis of phase-only correlation functions between real signals with stochastic phase-spectrum differences

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper proposes the statistical analysis of phase-only correlation functions between two real signals with phase-spectrum differences. For real signals, their phase-spectrum differences have oddsymmetry with respect to frequency indices. We assume phase-spectrum differences between two signals to be random variables. We next derive the expectation and variance of the POC functions considering the oddsymmetry of the phase-spectrum differences. As a result, the expectation and variance of the POC functions can be expressed by characteristic functions or trigonometric moments of the phase-spectrum differences. Furthermore, it is shown that the peak value of the POC function monotonically decreases and the sidelobe values monotonically increase as the variance of the phase-spectrum differences increases.

Original languageEnglish
Pages (from-to)1097-1108
Number of pages12
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE100A
Issue number5
DOIs
Publication statusPublished - 2017 May

Keywords

  • Characteristic functions
  • Odd-symmetry
  • Phase-only correlation functions
  • Real signals
  • Trigonometric moments

ASJC Scopus subject areas

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics

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