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

doi:10.1109/ICNIDC.2012.6418775

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 proceeding › Conference 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 language	English
Title of host publication	Proceedings - 2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012
Pages	360-364
Number of pages	5
DOIs	https://doi.org/10.1109/ICNIDC.2012.6418775
Publication status	Published - 2012 Dec 1
Event	2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012 - Beijing, China Duration: 2012 Sep 21 → 2012 Sep 23

Publication series

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

Other

Other	2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012
Country	China
City	Beijing
Period	12/9/21 → 12/9/23

Keywords

Expectation
Phase-only correlation functions
Phase-spectrum differences
variance

ASJC Scopus subject areas

Computer Networks and Communications
Hardware and Architecture

Access to Document

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Yamaki, S., Odagiri, J., Abe, M., & Kawamata, M. (2012). Effects of stochastic phase spectrum differences on phase-only correlation functions: Part I: Statistically constant phase spectrum differences for frequency indices. In Proceedings - 2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012 (pp. 360-364). [6418775] (Proceedings - 2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012). https://doi.org/10.1109/ICNIDC.2012.6418775

Effects of stochastic phase spectrum differences on phase-only correlation functions : Part I: Statistically constant phase spectrum differences for frequency indices. / Yamaki, Shunsuke; Odagiri, Jun; Abe, Masahide; Kawamata, Masayuki.

Proceedings - 2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012. 2012. p. 360-364 6418775 (Proceedings - 2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Yamaki, S, Odagiri, J, Abe, M & Kawamata, M 2012, Effects of stochastic phase spectrum differences on phase-only correlation functions: Part I: Statistically constant phase spectrum differences for frequency indices. in Proceedings - 2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012., 6418775, Proceedings - 2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012, pp. 360-364, 2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012, Beijing, China, 12/9/21. https://doi.org/10.1109/ICNIDC.2012.6418775

Yamaki S, Odagiri J, Abe M, Kawamata M. Effects of stochastic phase spectrum differences on phase-only correlation functions: Part I: Statistically constant phase spectrum differences for frequency indices. In Proceedings - 2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012. 2012. p. 360-364. 6418775. (Proceedings - 2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012). https://doi.org/10.1109/ICNIDC.2012.6418775

Yamaki, Shunsuke ; Odagiri, Jun ; Abe, Masahide ; Kawamata, Masayuki. / Effects of stochastic phase spectrum differences on phase-only correlation functions : Part I: Statistically constant phase spectrum differences for frequency indices. Proceedings - 2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012. 2012. pp. 360-364 (Proceedings - 2012 3rd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2012).

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