从离散到连续——分数阶信号处理的理论、方法与应用

摘要

近年来,分数阶信号处理受到广泛关注,已成为研究热点.本文对分数阶信号处理理论、方法与应用进行了综述,分别简述了分数阶傅里叶变换、分数阶微积分、分数阶系统、分数阶统计量、分形的理论方法以及它们在信号处理领域中的应用.%In recent years,fractional signal processing has become a research hotspot with a widespread attention. In this paper, the fractional signal processing theories,methods and applications are reviewed,including the fractional Fourier transform,fractional calculus,fractional order system,fractional lower order statistics,and fractal.