Conditions for Higher-Order Stationarity and Ergodicity of a Harmonic Random Process

毛用才; 保铮

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Conditions for Higher-Order Stationarity and Ergodicity of a Harmonic Random Process

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- Conditions for Higher-Order Stationarity and Ergodicity of a Harmonic Random Process
- Acta Electronica Sinica Issue 12, (1996)
- 作者机构：
  
  西安电子科技大学雷达信号处理重点实验室
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.7
- Published：1996
- 稿件说明：
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[1]毛用才,保铮.谐波随机过程的高阶平稳性和高阶遍历性条件[J].电子学报,1996(12):53-55.

毛用才, 保铮. Conditions for Higher-Order Stationarity and Ergodicity of a Harmonic Random Process[J]. Acta Electronica Sinica, 1996, (12).
[1]毛用才,保铮.谐波随机过程的高阶平稳性和高阶遍历性条件[J].电子学报,1996(12):53-55. DOI：

毛用才, 保铮. Conditions for Higher-Order Stationarity and Ergodicity of a Harmonic Random Process[J]. Acta Electronica Sinica, 1996, (12). DOI：

摘要

本文分析了由随机谐波构成的复信号高阶矩的有限数据估计，得到了高阶平稳和高阶遍历条件，给出了估计误差及其方差，以及它们大样本极限值的显式表达式。最后考虑了文献［２］中的情形，说明文献［２］中所得结果为本文的特例。

Abstract

The finite data estimates of the higher-order moments of a complex signal consisting of random harmonics are analysed. Conditions for the higher-order stationarity and ergodicity are obtained. Explicit formulas for the estimation error and its variance

as well as their limiting large sample values are derived. Finally

the results in reference[2] are shown to be a special case of this paper.

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