乘性噪声背景下二维谐波的二次耦合分析

吉林大学学报(工学版) ›› 2002, Vol. ›› Issue (3): 35-40.

乘性噪声背景下二维谐波的二次耦合分析

汪飞, 王树勋, 窦慧晶

吉林大学通信工程学院, 吉林, 长春, 130025

收稿日期:2002-01-29
基金资助:
国家自然科学基金资助项目(60172032)

Analysis of Two-dimensional Quadratic Coupled Harmonics in Multiplicative Noise

WANG Fei, WANG Shu-xun, DOU Hui-jing

College of Communication Engineering, Jilin University, Changchun 130025, China

Received:2002-01-29

摘要/Abstract

摘要： 利用二维循环统计量方法对二维平稳乘性噪声与二维平稳加性噪声共存情况下的二维谐波的二次耦合问题做了分析。根据二维循环统计量能够有效地抑制二维平稳乘性噪声和二维平稳加性噪声的特点,利用本文所定义的二维三阶时间平均矩切片能谱有效地提取出耦合信号中二次耦合的频率和参与二次耦合的频率。仿真实验验证了算法的正确性。

关键词: 二维谐波, 耦合谐波, 乘性噪声

Abstract: In this paper,the problem of the quadratic coupling of two-dimensional hamonics in coexistance of two-dimensional steady multiplicative noiseis and two-dimensional steady additive noise is analysed by means of two-diamensional cyclic stastic method.According to the peculiarity that the two-dimensional steady multiplicative and additive noise can be restrained effectively by two-dimensional cyclic statistic,the quadratic coupling and coupled frequencies can be extracted efficiently by using the slices of two-dimensional third-order time average moment energy spectra.The correctness of the algorithm used was verified by simulation experiment.

Key words: two-dimension harmonics, coupled harmonics, multiplicative noise

中图分类号:

TN929.3

汪飞, 王树勋, 窦慧晶. 乘性噪声背景下二维谐波的二次耦合分析[J]. 吉林大学学报(工学版), 2002, (3): 35-40.

WANG Fei, WANG Shu-xun, DOU Hui-jing. Analysis of Two-dimensional Quadratic Coupled Harmonics in Multiplicative Noise[J]. 吉林大学学报(工学版), 2002, (3): 35-40.

参考文献

[1] Alekseev V G. On spectral density estimates for a gaussian periodically correlated random field［J］. Probability and Mathe-matical Statistics, 1991, 11, Fasc. 2:157～167.
[2] Wang Wei, Wang Shu-xun. Quadratic phase coupling estimation of two-dimensional harmonics［Z］. International Confer-ences-Exhibition on Info-Tech & Info-Net(ICI12001), Beijing China, 2001.
[3] Georgios B Giannakis, Zhou Guotong. Harmonics in multiplicative and additive noise: parameter estimation using cyclicstatistics［J］. IEEE Trans. on Signal Processing, 1995, 43(9):2217～2221.
[4] Amod V Dandawate, Georgios B Giannakis. Nonparametric polyspectral estimation for kth-order(almost)cyclostationaryprocesses［J］. IEEE Tran. on Information Theory, 1994, 40(1): 67～84.
[5] Zhou Guotong, Georgios B Giannakis. Retrieval of self-coupled harmonics［J］. IEEE Tran. on Signal Processing, 1995, 43(5):1173～1186.
[6] Zhou Guotong, Georgios B Giannakis. Polyspectral analysis of mixed processes and coupled harmonics［J］. IEEE Tran. onInformation Theory, 1996, 42(3): 943～958.
[7] 王宏志,王树勋,戴逸松.乘性噪声中非线性耦合谐波分析［J］.电子学报,2001,29(1):75～79.
[8] 刘若伦,徐景,王树勋.复杂噪声中的二维DOA估计新方法［J］.电子学报,2000,28(12):1～3.
[9] Mounir Ghogho, Anantharam Swami, Tariq S Durrani. Frequency estimation in the presence of doppler spread: perfor-mance anaysis［J］. IEEE Tran. on Signal Processing, 2001,49(4): 777～789.
[10] 徐景,王树勋.复杂噪声背景下的谐波恢复与非线性耦合研究［D］.长春:吉林大学通信工程学院,2001.
[11] Rosenblatt M. Stationary sequences and random fields［M］. Basel, Switzrland: Birkahauser, 1985.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed