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Correlation Performance Measures for Phase-Only Correlation Functions Based on Directional Statistics
Shunsuke YAMAKI Masahide ABE Masayuki KAWAMATA
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2018/06/01
Online ISSN: 1745-1337
Type of Manuscript: LETTER
Category: Digital Signal Processing
phase-only correlation (POC) functions, directional statistics, signal-to-noise ratio (SNR), peak-to-correlation energy (PCE),
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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.