Effects of stochastic phase spectrum differences on phase-only correlation functions: Part I: Statistically constant phase spectrum differences for frequency indices

Shunsuke Yamaki, Jun Odagiri, Masahide Abe, Masayuki Kawamata

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

9 Citations (Scopus)

Abstract

This paper analyzes effects of stochastic phase spectrum differences on phase-only correlation (POC) functions. We assume phase spectrum differences between two signals are statistically constant for frequency indices. That is, they have identical probability density function for all frequency indices. We derive the general expressions of the expectation and variance of the POC functions. Relationships between the POC functions and the phase spectrum differences are formulated. This result mathematically guarantees the validity of the POC functions used for similarity measure in matching techniques.

Original languageEnglish
Title of host publicationProceedings - 2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012
Pages360-364
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
CountryChina
CityBeijing
Period12/9/2112/9/23

Keywords

  • Expectation
  • Phase-only correlation functions
  • Phase-spectrum differences
  • variance

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Hardware and Architecture

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