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

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Correlation Performance Measures for Phase-Only Correlation Functions Based on Directional Statistics

Shunsuke YAMAKI, Masahide ABE, Masayuki KAWAMATA

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Keywords: phase-only correlation (POC) functions, directional statistics, signal-to-noise ratio (SNR), peak-to-correlation energy (PCE)

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2018 Volume E101.A Issue 6 Pages 967-970

DOI https://doi.org/10.1587/transfun.E101.A.967

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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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