Statistical analysis of phase-only correlation functions under the phase fluctuation of signals due to additive gaussian noise

Shunsuke YAMAKI, Kazuhiro FUKUI, Masahide Abe, Masayuki Kawamata

Research output: Contribution to journalArticlepeer-review

Abstract

This paper proposes statistical analysis of phase-only correlation (POC) functions under the phase fluctuation of signals due to additive Gaussian noise. We derive probability density function of phasespectrum differences between original signal and its noise-corrupted signal with additive Gaussian noise. Furthermore, we evaluate the expectation and variance of the POC functions between these two signals. As the variance of Gaussian noise increases, the expectation of the peak of the POC function monotonically decreases and variance of the POC function monotonically increases. These results mathematically guarantee the validity of the POC functions used for similarity measure in matching techniques.

Original languageEnglish
Pages (from-to)671-679
Number of pages9
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE104.A
Issue number4
DOIs
Publication statusPublished - 2021 Apr

Keywords

  • Additive Gaussian noise
  • Phase fluctuation
  • Phase-only correlation functions
  • Probability density functions

ASJC Scopus subject areas

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

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