Design and Application of Digital Filter Based on Calculus Computing Concept

Abstract:

Calculus has been widely applied in engineering fields. The development of Integer order calculus theory is more mature in the project which can obtain fractional calculus theory through the promotion of integration order. It extends the flexibility of calculation and achieves the engineering analysis of multi-degree of freedom. According to fractional calculus features and the characteristics of fractional calculus, this paper treats the frequency domain as the object of study and gives the fractional calculus definition of the frequency characteristics. It also designs the mathematical model of fractional calculus digital filters using Fourier transform and Laplace transform. At last, this paper stimulates and analyzes numerical filtering of fractional calculus digital filter circuit using matlab general numerical analysis software and FDATool filter toolbox provided by matlab. It obtains the one-dimensional and two-dimensional filter curves of fractional calculus method which achieves the fractional Calculus filter of complex digital filter.

• Periodical: Applied Mechanics and Materials (Volumes 513-517)
• Pages: 3151-3155
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.513-517.3151
• Online since: February 2014
• Authors: Yan Chun Zhao*
• Keywords: Digital Filter, Dimensional Filtering, FDATool Toolbox, Fractional Calculus, MATLAB Software

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