Statistical analysis of phase-only correlation functions under the phase fluctuation of signals due to additive gaussian noise

Shunsuke YAMAKI, Kazuhiro FUKUI, Masahide Abe, Masayuki Kawamata

研究成果: Article査読

抄録

This paper proposes statistical analysis of phase-only correlation (POC) functions under the phase fluctuation of signals due to additive Gaussian noise. We derive probability density function of phasespectrum differences between original signal and its noise-corrupted signal with additive Gaussian noise. Furthermore, we evaluate the expectation and variance of the POC functions between these two signals. As the variance of Gaussian noise increases, the expectation of the peak of the POC function monotonically decreases and variance of the POC function monotonically increases. These results mathematically guarantee the validity of the POC functions used for similarity measure in matching techniques.

本文言語English
ページ(範囲)671-679
ページ数9
ジャーナルIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
E104.A
4
DOI
出版ステータスPublished - 2021 4

ASJC Scopus subject areas

  • 信号処理
  • コンピュータ グラフィックスおよびコンピュータ支援設計
  • 電子工学および電気工学
  • 応用数学

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