Statistical Analysis of Phase-Only Correlation Functions with Phase-Spectrum Differences Following Wrapped Distributions
Statistical Analysis of Phase-Only Correlation Functions with Phase-Spectrum Differences Following Wrapped Distributions
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DOI：
10.1587/transfun.e99.a.1790
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发表时间：
2016-10
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影响因子：
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通讯作者：
Shunsuke Yamaki;M. Abe;M. Kawamata
中科院分区：
文献类型：
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作者：
Shunsuke Yamaki;M. Abe;M. Kawamata
本文提出了对仅相位相关函数的统计分析，其中相位谱差异遵循包裹分布。我们首先假设两个信号之间的相位谱差异是遵循线性分布的随机变量。接下来，基于方向统计，我们将线性分布围绕单位圆的圆周包裹起来，将线性分布转换为包裹分布。最后，我们推导了具有遵循包裹分布的相位谱差异的 POC 函数的期望和方差的一般表达式。我们在线性分布与其相应的包裹分布之间获得完全相同的表达式。关键词: 仅相位相关函数, 包裹分布, 方向统计, 循环概率分布
This paper proposes statistical analysis of phase-only correlation functions with phase-spectrum differences following wrapped distributions. We first assume phase-spectrum 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 phase-spectrum differences following wrapped distributions. We obtain exactly the same expressions between a linear distribution and its corresponding wrapped distribution. key words: phase-only correlation functions, wrapped distributions, directional statistics, circular probability distributions