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Accurate Constant Phase Elements Dedicated for Audio Signal Processing

Department of Radio Electronics, Faculty of Electronical Engineering and Communications, Brno University of Technology, Brno 616 00, Czech Republic
Appl. Sci. 2019, 9(22), 4888; https://doi.org/10.3390/app9224888
Received: 28 July 2019 / Revised: 15 September 2019 / Accepted: 10 November 2019 / Published: 14 November 2019
(This article belongs to the Section Electrical, Electronics and Communications Engineering)
This review paper introduces real-valued two-terminal fully passive RC ladder structures of the so-called constant phase elements (CPEs). These lumped electronic circuits can be understood as two-terminal elements described by fractional-order (FO) dynamics, i.e., current–voltage relation described by non-integer-order integration or derivation. Since CPEs that behave almost ideally are still not available as off-the-shelf components, the correct behavior must be approximated in the frequency domain and is valid only in the predefined operational frequency interval. In this study, an audio frequency range starting with 20 Hz and ending with 20 kHz has been chosen. CPEs are designed and values tabularized for predefined phase shifts that are commonly used in practice. If constructed carefully, a maximum phase error less than 0.5° can be achieved. Several examples of direct utilization of designed CPEs in signal processing applications are provided. View Full-Text
Keywords: admittance function synthesis; audio effect; circuit synthesis; constant phase element; fractional-order; frequency response; ladder network; passive filter; zeroes and poles admittance function synthesis; audio effect; circuit synthesis; constant phase element; fractional-order; frequency response; ladder network; passive filter; zeroes and poles
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MDPI and ACS Style

Petrzela, J. Accurate Constant Phase Elements Dedicated for Audio Signal Processing. Appl. Sci. 2019, 9, 4888. https://doi.org/10.3390/app9224888

AMA Style

Petrzela J. Accurate Constant Phase Elements Dedicated for Audio Signal Processing. Applied Sciences. 2019; 9(22):4888. https://doi.org/10.3390/app9224888

Chicago/Turabian Style

Petrzela, Jiri. 2019. "Accurate Constant Phase Elements Dedicated for Audio Signal Processing" Applied Sciences 9, no. 22: 4888. https://doi.org/10.3390/app9224888

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