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Statistical Analysis of Phase-Only Correlation Functions Using Directional Statistics
| Content Provider | Semantic Scholar |
|---|---|
| Author | Shunsuke, Yamaki Masahide, Abe Masayuki, Kawamata |
| Copyright Year | 2013 |
| Abstract | This paper proposes statistical analysis of phase-only correlation functions based on linear statistics and directional statistics. We derive the expectation and variance of the phase-only correlation functions assuming phase-spectrum differences of two input signals to be probability variables. We first assume linear probability distributions for the phasespectrum differences. We next assume circular probability distributions for the phase-spectrum differences, considering phase-spectrum differences to be circular data. As a result, we can simply express the expectation and variance of phase-only correlation functions as linear and quadratic functions of circular variance of phase-spectrum differences, respectively. key words: phase-only correlation functions, directional statistics, circular probability distributions, mean direction, circular variance, von-Mises distribution |
| Starting Page | 149 |
| Ending Page | 154 |
| Page Count | 6 |
| File Format | PDF HTM / HTML |
| Volume Number | 112 |
| Alternate Webpage(s) | http://www.mk.ecei.tohoku.ac.jp/~yamaki/Publications/CAS2013.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
