Title
Fractional-order Lowpass Elliptic Responses of (1+α)-order Transfer Functions
Abstract
In this paper a least squares fitting is applied to determine the coefficients of a fractional-order transfer function that approximates the passband and stopband ripple characteristics of a second-order Elliptic lowpass filter. These fittings are applied to three different frequency ranges to evaluate the impact of the selection of approximated frequency band on the determined coefficients and the transfer function magnitude characteristics. MATLAB simulations of (1+α) order lowpass magnitude responses with fractional steps from α=0.1 to α=0.9 are given as examples to highlight the fractional-step compared to the second-order Elliptic response. Further, MATLAB simulations of the (1+α)=1.25 and 1.75 using all three sets of coefficients determined using different frequency bands are given as examples to highlight their differences.
Year
DOI
Venue
2018
10.1109/TSP.2018.8441421
2018 41st International Conference on Telecommunications and Signal Processing (TSP)
Keywords
Field
DocType
Elliptic,fractional circuits,fractional-filters
Least squares,Passband,MATLAB,Frequency band,Computer science,Mathematical analysis,Real-time computing,Transfer function,Low-pass filter,Ripple,Stopband
Conference
ISBN
Citations 
PageRank 
978-1-5386-4696-0
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Todd J. Freeborn110914.27
David Kubanek27812.69
Jaroslav Koton39324.27
Jan Dvorak4165.44