Statistical analysis of phase-only correlation functions with phase-spectrum differences following wrapped distributions

Shunsuke Yamaki; Masahide Abe; Masayuki Kawamata

doi:10.1587/transfun.E99.A.1790

Statistical analysis of phase-only correlation functions with phase-spectrum differences following wrapped distributions

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

This paper proposes statistical analysis of phase-only correlation functions with phase-spectrum differences following wrapped distributions. We first assume phase-spectrum differences between two signals to be random variables following a linear distribution. Next, based on directional statistics, we convert the linear distribution into a wrapped distribution by wrapping the linear distribution around the circumference of the unit circle. Finally, we derive general expressions of the expectation and variance of the POC functions with phase-spectrum differences following wrapped distributions. We obtain exactly the same expressions between a linear distribution and its corresponding wrapped distribution.

Original language	English
Pages (from-to)	1790-1798
Number of pages	9
Journal	IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Volume	E99A
Issue number	10
DOIs	https://doi.org/10.1587/transfun.E99.A.1790
Publication status	Published - 2016 Oct

Keywords

Circular probability distributions
Directional statistics
Phase-only correlation functions
Wrapped distributions

ASJC Scopus subject areas

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

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10.1587/transfun.E99.A.1790

Cite this

Statistical analysis of phase-only correlation functions with phase-spectrum differences following wrapped distributions. / Yamaki, Shunsuke; Abe, Masahide; Kawamata, Masayuki.

In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E99A, No. 10, 10.2016, p. 1790-1798.

Research output: Contribution to journal › Article › peer-review

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Statistical analysis of phase-only correlation functions with phase-spectrum differences following wrapped distributions

Abstract

Keywords

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