Digital Filter Design And Analog Circuit Implementation Of Fractional Calculus With Its Application

Fractional calculus includes fractional derivatives and fractional integrals. It means to generalize the differentiation and integration into fractional and complex order. It is a more than 300-years-old topic from the first raised by Leibniz and Hospital in 1695. Because of the high computation complexity, it was restricted in the theoretical research field by mathematicians. With the high speed development of computer science and the increasing ability of calculation in recent years, the realization of fractional calculus becomes feasible and fractional calculus was noticed and researched by more and more engineers.Fractional calculus has special capabilities for signal processing and analyzing. It has more degrees of freedom to be used and gets good performance in many fields, such as control theory, signal processing, mechanics, electronics, chemistry, biology, economy, rheology,robotics, materials,rock mechanics, fractal,seismic data processing,electromagnetic theory. Especially in information technology science domain, several new applications have been developed, for example, system modeling, curve fitting, filtering, pattern recognition, contour detection, system identification, stability analysis, and etc.From the point of technology view, this dissertation does some research on the implementation of fractional calculus, including the digital filter design and analog...