Detail publikace

Transfer Functions of Fractional-Order Band-Pass Filter with Arbitrary Magnitude Slope in Stopband

Originální název

Transfer Functions of Fractional-Order Band-Pass Filter with Arbitrary Magnitude Slope in Stopband

Anglický název

Transfer Functions of Fractional-Order Band-Pass Filter with Arbitrary Magnitude Slope in Stopband

Jazyk

en

Originální abstrakt

Four band-pass (BP) filter transfer functions of the fractional order 1 < (1 + α) < 2 are presented. Their coefficients are found using numerical least squares optimization that aims at minimizing the magnitude errors between these transfer functions and the specimen functions that correspond to 2nd-order Butterworth filter responses. The fractional-order (FO) BP transfer functions with the proposed coefficients and coefficients previously presented in the literature for Butterworth-like FO low-pass (LP) transfer functions are compared. This comparison highlights that using the coefficients determined for FO LP transfer functions in FO BP functions causes distorted characteristics in some cases. The FO BP functions with the proposed coefficients match the specimen functions very well reducing this distortion.

Anglický abstrakt

Four band-pass (BP) filter transfer functions of the fractional order 1 < (1 + α) < 2 are presented. Their coefficients are found using numerical least squares optimization that aims at minimizing the magnitude errors between these transfer functions and the specimen functions that correspond to 2nd-order Butterworth filter responses. The fractional-order (FO) BP transfer functions with the proposed coefficients and coefficients previously presented in the literature for Butterworth-like FO low-pass (LP) transfer functions are compared. This comparison highlights that using the coefficients determined for FO LP transfer functions in FO BP functions causes distorted characteristics in some cases. The FO BP functions with the proposed coefficients match the specimen functions very well reducing this distortion.

BibTex


@inproceedings{BUT157946,
  author="David {Kubánek} and Todd {Freeborn} and Jaroslav {Koton} and Jan {Dvořák}",
  title="Transfer Functions of Fractional-Order Band-Pass Filter with Arbitrary Magnitude Slope in Stopband",
  annote="Four band-pass (BP) filter transfer functions of the fractional order 1 < (1 + α) < 2 are presented. Their coefficients are found using numerical least squares optimization that aims at minimizing the magnitude errors between these transfer functions and the specimen functions that correspond to 2nd-order Butterworth filter responses. The fractional-order (FO) BP transfer functions with the proposed coefficients and coefficients previously presented in the literature for Butterworth-like FO low-pass (LP) transfer functions are compared. This comparison highlights that using the coefficients determined for FO LP transfer functions in FO BP functions causes distorted characteristics in some cases. The FO BP functions with the proposed coefficients match the specimen functions very well reducing this distortion.",
  address="IEEE",
  booktitle="Proceedings of the 2019 42nd International Conference on Telecommunications and Signal Processing (TSP), Budapest, Hungary",
  chapter="157946",
  doi="10.1109/TSP.2019.8769089",
  howpublished="online",
  institution="IEEE",
  year="2019",
  month="july",
  pages="655--659",
  publisher="IEEE",
  type="conference paper"
}