Performance Evaluation of Phase-Only Correlation Functions from the Viewpoint of Correlation Filters
Shunsuke Yamaki, Masahide Abet, Masayuki Kawamata, Makoto Yoshizawa · 2018
This paper proposes performance evaluation of phase-only correlation (POC) functions using signal-to-noise ratio (SNR) and peak-to correlation energy (PCE) from the viewpoint of correlation filters. Correlation functions can be thought as the output from the correlation filters. Maximizing SNR leads to matched filters, whereas maximizing PCE results in the inverse filters. We also derive the general expressions of SNR and PCE of the POC functions based on directional statistics. 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.