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

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

Research output: Contribution to journalArticlepeer-review

5 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 languageEnglish
Pages (from-to)1790-1798
Number of pages9
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE99A
Issue number10
DOIs
Publication statusPublished - 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

Fingerprint Dive into the research topics of 'Statistical analysis of phase-only correlation functions with phase-spectrum differences following wrapped distributions'. Together they form a unique fingerprint.

Cite this