Hermite polynomials in the fractional order domain suitable for special filters design


This paper introduces the design procedure for the low pass filter based on Chebyschev polynomials of fractional power of any order. The filter order is considered in intervals of width two. Only the first two intervals are considered along with their pole locus produced by varying the filter order and the magnitude response. A general formula for constructing the filter from its s-plane poles is suggested. Numerical analysis and circuit simulations using MATLAB and Advanced Design System (ADS) based on the proposed design procedure are presented. Good matching between the circuit simulation and the numerical analysis is obtained which proves the reliability of the proposed design procedure. © 2015 IEEE.


Abdelaty A.M., Soltan A., Ahmed W.A., Radwan A.G.


Bandpass filters; Chebyshev filters; Circuit simulation; Design; MATLAB; Numerical analysis; Poles; Polynomials; Reliability analysis; Advanced design system; Chebyshev polynomials; Design procedure; Fractional power; General formulas; Low-pass filter design; Low pass filters

Document Type

Confrence Paper


Proceedings of the IEEE International Conference on Electronics, Circuits, and Systems, Vol. 2016-March, Art. No. 7440236, PP. 9 to 12, Doi: 10.1109/ICECS.2015.7440236

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