Serbian Journal of Electrical Engineering 2023 Volume 20, Issue 1, Pages: 1-11
https://doi.org/10.2298/SJEE2301001K
Full text ( 646 KB)
Design of allpass-based IIR multi-notch filters with identical pole radiuses
Krstić Ivan (University of Kragujevac, Faculty of Engineering, Kragujevac, Serbia), ivan.krstic@kg.ac.rs
A design method for the allpass-based infinite impulse response multi-notch
filters with identical pole radiuses is derived in the paper. According to
the standard procedure when design of the allpass-based filters is
considered, the multi-notch filters’ magnitude response specifications are
first formulated as the phase response specifications of the corresponding
allpass filter. Then, for the specified identical pole radiuses, it is shown
that unknown allpass filter coefficients can be obtained determined from the
square system of linear equations. On the other hand, the minimum value of
the pole radius, such that specifications of the the magnitude response are
satisfied in all passbands, can be determined using the bisection method.
Results of comparison with some of the existing design methods lead to the
conclusion that proposed filters have higher area under the squared
passbands magnitude response compared to filters with the same maximum pole
radius. Furthermore, utilization of the proposed method can result in
transfer functions that have the lowest possible maximum pole radius.
Keywords: Infinite impulse response multi-notch filter, Digital allpass filter, Magnitude response, Identical pole radiuses
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