Effects of stochastic phase-spectrum differences on phase-only correlation functions: Part II: Statistically proportional phase spectrum differences to frequency indices

Rihito Ito, Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper discusses properties of the phase-only correlation (POC) functions for stochastic phase spectrum differences. Assuming the phase spectrum differences between two signals to be random variables, we derive general expressions of the expectation and variance of the POC functions, and show that the expectation of the peak of the POC functions decreases and the variances of the POC functions increase as the phase spectrum differences increase. This property mathematically guarantees validity of the POC functions for evaluating similarity between two signals.

Original languageEnglish
Title of host publicationProceedings - 2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012
Pages380-384
Number of pages5
DOIs
Publication statusPublished - 2012 Dec 1
Event2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012 - Beijing, China
Duration: 2012 Sep 212012 Sep 23

Publication series

NameProceedings - 2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012

Other

Other2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012
Country/TerritoryChina
CityBeijing
Period12/9/2112/9/23

Keywords

  • Phase-only correlation
  • Similarity measure
  • Stochastic phase spectrum difference

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Hardware and Architecture

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