Cyclic Statistics Based Approach to Harmonic Retrieval in Multiplicative and Additive Noise

李宏伟; 程乾生

您当前的位置：

首页 >

文章列表页 >

Cyclic Statistics Based Approach to Harmonic Retrieval in Multiplicative and Additive Noise

更新时间：2025-12-08

- Cyclic Statistics Based Approach to Harmonic Retrieval in Multiplicative and Additive Noise
- Acta Electronica Sinica Issue 7, Pages: 105-111(1998)
- 作者机构：
  
  1. 北京大学数学系!北京
  2. 100871
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.7
- Published：1998
- 稿件说明：
移动端阅览
[1]李宏伟,程乾生.乘性和加性噪声中谐波恢复的循环统计量方法[J].电子学报,1998(07):105-111+116.

李宏伟, 程乾生. Cyclic Statistics Based Approach to Harmonic Retrieval in Multiplicative and Additive Noise[J]. Acta Electronica Sinica, 1998, (7): 105-111.
[1]李宏伟,程乾生.乘性和加性噪声中谐波恢复的循环统计量方法[J].电子学报,1998(07):105-111+116. DOI：

李宏伟, 程乾生. Cyclic Statistics Based Approach to Harmonic Retrieval in Multiplicative and Additive Noise[J]. Acta Electronica Sinica, 1998, (7): 105-111. DOI：

摘要

本文从循环平衡的观点出发来研究乘性和加性噪声中的谐波恢复问题.首先，在一定条件下建立了一般复过程的有限长付里叶变换的大样本性质．然后，得到了任意阶循环矩的样本估计关于循环频率的一致收敛速度．对于乘性和加性噪声中的谐波信号，建立了一、二、三阶循环矩样本估计的统计性质．在此基础上，分别提出了基于不同阶循环矩的谐波分最个数和频率的估计方法，并得到了估计的强相容性质和强收敛速度，最后给出了模拟实验结果．

Abstract

The harmonics retrieval in multiplicative and additive noise is studied from the view point of cyclostatiolnary processes. At first

the large sample property of the finite Fourier transform for generally complex-valued processes is established under certain mixing conditions. Then

the inliformly convergent rale of any other sample cyclic-moments of cyclostationary processes is obtained. For harmonics in multiplicative and additive noise

the statistical properties of the kth-culer sample cyclic-moments are obtained for k = 1

3. The estimation for harmonics parameters based on different culer cyclic-moments are presented. The strong convergeneand convergence rate of the estimators are obtained. Finally

the simulation results are given.

关键词

Keywords

references

Views

237

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Two-Dimensional Parameter Estimation Using Two-Dimensional Cyclic Statistics

Radar Active Electromagnetic Interference Visual Detection and Parameter Estimation Method

Edge Serial Message Passing Algorithm Based on Subgraph

Parameter Estimation for Logistic Model by ParticleSwarm Optimization Algorithm

Related Author

YANG Shi-yong

LI Hong-wei

WANG Fei

WANG Shu-un

DOU Hui-jing

ZHU Xuan

RUAN Jiang-jun

WU Hao

Related Institution

School of Mathematics and Physics,China University of Geosciences

Communication Engineering College,Jilin University

School of Electrical Engineering and Automation, Wuhan University

National Key Laboratory of Electromagnetic Energy, Naval University of Engineering

School of Electronic Information and Communications, Huazhong University of Science and Technology

⁰