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Statistical Analysis of PhaseOnly Correlation Functions with PhaseSpectrum Differences Following Wrapped Distributions
Shunsuke YAMAKI Masahide ABE Masayuki KAWAMATA
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E99A
No.10
pp.17901798 Publication Date: 2016/10/01 Online ISSN: 17451337
DOI: 10.1587/transfun.E99.A.1790 Type of Manuscript: PAPER Category: Digital Signal Processing Keyword: phaseonly correlation functions, wrapped distributions, directional statistics, circular probability distributions,
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Summary:
This paper proposes statistical analysis of phaseonly correlation functions with phasespectrum differences following wrapped distributions. We first assume phasespectrum differences between two signals to be random variables following a linear distribution. Next, based on directional statistics, we convert the linear distribution into a wrapped distribution by wrapping the linear distribution around the circumference of the unit circle. Finally, we derive general expressions of the expectation and variance of the POC functions with phasespectrum differences following wrapped distributions. We obtain exactly the same expressions between a linear distribution and its corresponding wrapped distribution.

