数字调制信号多重分形特性分析

Multifractal Characteristic Analysis of Digital Modulation Signals

多重分形能够对分形集的局部尺度行为进行精细的描述,可用于时间序列内在特征信息的精细刻画和准确提取。非高斯性和长程相关性是一时间序列具有多重分形特性的重要标志,验证数字调制信号的多重分形特性,能够为利用多重分形理论进行数字调制信号分析提供理论基础。文章根据斜度系数和峰度系数,验证了数字调制信号的非高斯性;根据Hurst指数验证了数字调制信号的长程相关性;理论分析和仿真结果证明数字调制信号具有多重分形特性。

Multifractal is able to elaborate on local scales of a fractal set,and can be used for depicting and extracting intrinsic characters of a time series accurately.Non-Gaussian and long-range dependence are the most important multifractal features of a time series,verifying that a digital modulation signal has multifractal features can prove a theoretical basis for applying multifractal theory to analyze a digital modulation signal.Non-Gaussian of digital modulation signals is analyzed based on skewness and kurtosis;long-range dependence is validated based on Hurst exponent;theoretical analysis and computer simulation show that the digital modulation signal has the multifractal feature.