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一阶自回归模型中噪声改善信号的相关性

王友国 罗辑 刘洪伟

计算机工程与应用2011,Vol.47Issue(14):137-139,3.
计算机工程与应用2011,Vol.47Issue(14):137-139,3.DOI:10.3778/j.issn.1002-8331.2011.14.039

一阶自回归模型中噪声改善信号的相关性

Noise-improved signal correlation in autoregressive model of order one

王友国 1罗辑 1刘洪伟1

作者信息

  • 1. 南京邮电大学理学院,南京210046
  • 折叠

摘要

Abstract

This paper discusses noise-improved signal correlation in the autoregressive model of order one [AR(l)] for three representative noises. When the input is subthreshold or partly subthreshold, the correlation coefficient increases firstly and then decreases as the noise intensity increases, some noise can improve signal correlation, Stochastic Resonance(SR) exists.The efficacy of SR decreases and the optimal noise becomes large as the threshold increases. The efficacy of SR also decreases as the impulsion of the noise Probability Density Function(PDF) around the zero mean becomes higher and the tail in the PDF becomes heavier. There is a range of the noise intensity,the correlation coefficient between the input and the output signals is greater than that of the input signal and the noisy signal,the output signal is more similar with the input signal than the noisy signal in AR(l).These results show that noise can improve signal correlation through the discrete-time system,SR exists and SR is of certain robustness for noise. These results also extend SR to be applied in digital signal processing.

关键词

相关系数/随机谐振/离散时间系统

Key words

correlation coefficient/ stochastic resonance/ discrete-time system

分类

信息技术与安全科学

引用本文复制引用

王友国,罗辑,刘洪伟..一阶自回归模型中噪声改善信号的相关性[J].计算机工程与应用,2011,47(14):137-139,3.

基金项目

江苏省高校自然科学基金(No.08KJB510012). (No.08KJB510012)

计算机工程与应用

OACSCDCSTPCD

1002-8331

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