Correlation performance measures for phase-only correlation functions based on directional statistics

Shunsuke Yamaki; Masahide Abe; Masayuki Kawamata

doi:10.1587/transfun.E101.A.967

Correlation performance measures for phase-only correlation functions based on directional statistics

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

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

1 Citation (Scopus)

Abstract

This letter proposes performance evaluation of phase-only correlation (POC) functions using signal-to-noise ratio (SNR) and peak-to-correlation energy (PCE). We derive the general expressions of SNR and PCE of the POC functions as correlation performance measures. SNR is expressed by simple fractional function of circular variance. PCE is simply given by squared peak value of the POC functions, and its expectation can be expressed in terms of circular variance.

Original language	English
Pages (from-to)	967-970
Number of pages	4
Journal	IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Volume	E101A
Issue number	6
DOIs	https://doi.org/10.1587/transfun.E101.A.967
Publication status	Published - 2018 Jun

Keywords

Directional statistics
Peak-to-correlation energy (PCE)
Phase-only correlation (POC) functions
Signal-to-noise ratio (SNR)

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.E101.A.967

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title = "Correlation performance measures for phase-only correlation functions based on directional statistics",

abstract = "This letter proposes performance evaluation of phase-only correlation (POC) functions using signal-to-noise ratio (SNR) and peak-to-correlation energy (PCE). We derive the general expressions of SNR and PCE of the POC functions as correlation performance measures. SNR is expressed by simple fractional function of circular variance. PCE is simply given by squared peak value of the POC functions, and its expectation can be expressed in terms of circular variance.",

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author = "Shunsuke Yamaki and Masahide Abe and Masayuki Kawamata",

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year = "2018",

month = jun,

doi = "10.1587/transfun.E101.A.967",

language = "English",

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T1 - Correlation performance measures for phase-only correlation functions based on directional statistics

AU - Yamaki, Shunsuke

AU - Abe, Masahide

AU - Kawamata, Masayuki

PY - 2018/6

Y1 - 2018/6

N2 - This letter proposes performance evaluation of phase-only correlation (POC) functions using signal-to-noise ratio (SNR) and peak-to-correlation energy (PCE). We derive the general expressions of SNR and PCE of the POC functions as correlation performance measures. SNR is expressed by simple fractional function of circular variance. PCE is simply given by squared peak value of the POC functions, and its expectation can be expressed in terms of circular variance.

AB - This letter proposes performance evaluation of phase-only correlation (POC) functions using signal-to-noise ratio (SNR) and peak-to-correlation energy (PCE). We derive the general expressions of SNR and PCE of the POC functions as correlation performance measures. SNR is expressed by simple fractional function of circular variance. PCE is simply given by squared peak value of the POC functions, and its expectation can be expressed in terms of circular variance.

KW - Directional statistics

KW - Peak-to-correlation energy (PCE)

KW - Phase-only correlation (POC) functions

KW - Signal-to-noise ratio (SNR)

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JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

SN - 0916-8508

IS - 6

ER -

Correlation performance measures for phase-only correlation functions based on directional statistics

Abstract

Keywords

ASJC Scopus subject areas

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