
For FullText PDF, please login, if you are a member of IEICE,
or go to Pay Per View on menu list, if you are a nonmember of IEICE.

Statistical Analysis of PhaseOnly Correlation Functions between Real Signals with Stochastic PhaseSpectrum Differences
Shunsuke YAMAKI Masahide ABE Masayuki KAWAMATA
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E100A
No.5
pp.10971108 Publication Date: 2017/05/01
Online ISSN: 17451337 Type of Manuscript: PAPER Category: Digital Signal Processing Keyword: phaseonly correlation functions, real signals, oddsymmetry, characteristic functions, trigonometric moments,
Full Text: PDF(1.6MB) >>Buy this Article
Summary:
This paper proposes the statistical analysis of phaseonly correlation functions between two real signals with phasespectrum differences. For real signals, their phasespectrum differences have oddsymmetry with respect to frequency indices. We assume phasespectrum differences between two signals to be random variables. We next derive the expectation and variance of the POC functions considering the oddsymmetry of the phasespectrum differences. As a result, the expectation and variance of the POC functions can be expressed by characteristic functions or trigonometric moments of the phasespectrum differences. Furthermore, it is shown that the peak value of the POC function monotonically decreases and the sidelobe values monotonically increase as the variance of the phasespectrum differences increases.

