Detail publikace

(1+α) Fractional-order transfer functions to approximate low-pass magnitude responses with arbitrary quality factor

Originální název

(1+α) Fractional-order transfer functions to approximate low-pass magnitude responses with arbitrary quality factor

Anglický název

(1+α) Fractional-order transfer functions to approximate low-pass magnitude responses with arbitrary quality factor

Jazyk

en

Originální abstrakt

The coefficients of three fractional-order low-pass transfer functions are presented to aid in the design of these filters based on their arbitrary quality factors. These coefficients are found by minimizing the error between these fractional-order transfer functions and the second-order transfer function using numerical least squares optimization. Coefficients and design equations are presented for fractional-orders between one and two. Stability of the transfer functions with the presented coefficients is examined and possibilities of characteristic frequency shifting are shown. The results are verified by PSpice simulation of a conveyor-based low-pass filter with fractional order of 1.5 and quality factor Q = 5.

Anglický abstrakt

The coefficients of three fractional-order low-pass transfer functions are presented to aid in the design of these filters based on their arbitrary quality factors. These coefficients are found by minimizing the error between these fractional-order transfer functions and the second-order transfer function using numerical least squares optimization. Coefficients and design equations are presented for fractional-orders between one and two. Stability of the transfer functions with the presented coefficients is examined and possibilities of characteristic frequency shifting are shown. The results are verified by PSpice simulation of a conveyor-based low-pass filter with fractional order of 1.5 and quality factor Q = 5.

BibTex


@article{BUT137071,
  author="David {Kubánek} and Todd {Freeborn}",
  title="(1+α) Fractional-order transfer functions to approximate low-pass magnitude responses with arbitrary quality factor",
  annote="The coefficients of three fractional-order low-pass transfer functions are presented to aid in the design of these filters based on their arbitrary quality factors. These coefficients are found by minimizing the error between these fractional-order transfer functions and the second-order transfer function using numerical least squares optimization. Coefficients and design equations are presented for fractional-orders between one and two. Stability of the transfer functions with the presented coefficients is examined and possibilities of characteristic frequency shifting are shown. The results are verified by PSpice simulation of a conveyor-based low-pass filter with fractional order of 1.5 and quality factor Q = 5.",
  address="ELSEVIER GMBH, URBAN & FISCHER VERLAG",
  chapter="137071",
  doi="10.1016/j.aeue.2017.04.031",
  howpublished="online",
  institution="ELSEVIER GMBH, URBAN & FISCHER VERLAG",
  number=", IF: 0.786",
  volume="2017 (78)",
  year="2017",
  month="april",
  pages="1--10",
  publisher="ELSEVIER GMBH, URBAN & FISCHER VERLAG",
  type="journal article"
}