信号特征对分形维数的影响  

Signal Characteristics to Influence of Fractal Dimension

作　　者：刘文涛[1] 陈红[1] 蔡晓霞[1] 吴源洪 

机构地区：[1]解放军电子工程学院 [2]解放军73689部队

出　　处：《火力与指挥控制》2014年第9期69-71,共3页Fire Control & Command Control

摘　　要：分形维数是描述信号的一种有效方式,用来作为各种情况下信号复杂度的测量方法。但是对于此种分析的合理解释没有被给出。为了研究信号参数对分形维数的影响,通过对接受信号进行预处理,分别使用盒维数和信息维数进行维数估计,讨论信号采样点数、噪声功率、载频、码率对信号分形维数的影响。仿真结果表明:当采样频率一定时,分形维数在一定范围内对噪声不敏感;码率对盒维数的影响较小,对信息维数的影响较大;载频对信息维数的影响较小,对盒维数的影响较大。Fractal Dimensions （FD）are popular metrics for characterizing signals. They are used as complexity measures in signal analysis applications in various fields. However,proper interpretation of such analyses has not been thoroughly addressed. To make the effect of various signal properties on FD certain,box dimension and information dimension of the pretreated signals are firstly estimated,and then the properties in terms of classical signal processing concepts such as number of sampling,noise power,carrier frequency and symbol rate are researched. Simulation results show that when the sampling frequency is fixed,FD is not sensitive to the noise; symbol rate has a little influence on box dimension but has a great influence on information dimension; carrier frequency has a great influence on box dimension but has a little influence on information dimension.

关 键 词：信号特征 盒维数 信息维数 

分 类 号：TN92[电子电信—通信与信息系统]