(ETF – School of Electrical Engineering, University of Belgrade, 2018) Bošković, Marko; Šekara, Tomislav B.; Rapaić, Milan R.; Lutovac, Budimir; Daković, Miloš; Govedarica, Vidan
The paper presents analysis of the second order band-pass and notch filter with a dynamic damping
factor βd of fractional order. Factor βd is given in the form of fractional differentiator of order , i.e. βd=β/s, where β and are adjustable parameters. The aim of the paper is to exploit an extra degree of freedom of presented filters to achieve the desired filter specifications and obtain a desired response in the frequency and time domain. Shaping of the frequency response enables achieving a better phase response compared to the integer-order counterparts which is of great concern in many applications. For the implementation purpose, the paper presents a comparison of four discretization techniques: the Osutaloup’s Recursive Algorithm (ORA+Tustin), Continued Fractional Expansion (CFE+Tustin), Interpolation of Frequency Characteristic (IFC+Tustin) and recently proposed AutoRegressive with eXogenous input (ARX)-based direct discretization method.
