应用科学学报 ›› 2010, Vol. 28 ›› Issue (2): 111-114.

• 通信工程 •    下一篇

Alpha稳定分布噪声下的通信信号识别

杨伟超,博士生,研究方向:通信信号处理,E-mail: yangweichaob09@hrbeu.edu.cn;赵春晖,博士,教授,博导,研究方向:图像处理及非线性信号处理,E-mail: zhaochunhui@hrbeu.edu.cn   

  1. 哈尔滨工程大学信息与通信工程学院,哈尔滨150001
  • 收稿日期:2009-11-11 修回日期:2010-02-24 出版日期:2010-03-30 发布日期:2010-03-30
  • 作者简介:杨伟超,博士生,研究方向:通信信号处理,E-mail: yangweichaob09@hrbeu.edu.cn;赵春晖,博士,教授,博导,研究方向:图像处理及非线性信号处理,E-mail: zhaochunhui@hrbeu.edu.cn

Recognition of Communication Signals in Noise with Alpha Stable Distribution

  1. College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China
  • Received:2009-11-11 Revised:2010-02-24 Online:2010-03-30 Published:2010-03-30

摘要:

Alpha稳定分布是一种能够保持自然噪声过程产生机制和传播条件的极限分布. 本文以特征指数介于1和2之间的Alpha稳定分布模型为背景噪声,研究Alpha稳定分布的分形盒维数特性,从理论上说明分形盒维数对特征指数介于1 和2 之间的Alpha稳定分布噪声不敏感. 提取所选信号族中信号相位的分形盒维数作为特征参量对信号进行识别,理论和仿真实验说明本方法在非高斯Alpha稳定分布噪声背景下有很好的韧性.

关键词: 信号识别, Alpha稳定分布, 分形盒维数, 特征参数

Abstract:

Alpha stable distribution is a limiting distribution that maintains the generating mechanism and spreading condition of natural noise. We study the fractal box dimension characteristics of alpha stable distribution and show that, in theory, the fractal box dimension is insensitive to alpha stable distribution with a characteristic index between 1 and 2. We select the fractal box dimensions of signal phase as the recognition characteristic parameter to complete signal recognition. Theoretical study and numerical simulation show that the method has good robustness in background noise with alpha stable distribution.

Key words: signal recognition, Alpha stable distribution, fractal box dimension, feature parameter

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