Fractional calculus in electronic circuits: a review
Fractional-order (FO) systems offer a unique flexibility of arbitrary slope matching in system
gain which is not possible in conventional circuit theory. This has made application of …
gain which is not possible in conventional circuit theory. This has made application of …
Comparison of Fractional-Order Transfer Functions to Approximate Lowpass Butterworth Magnitude Responses
TJ Freeborn - Circuits, Systems, and Signal Processing, 2016 - Springer
Three fractional-order transfer functions are analyzed for differences in realizing (1+ α 1+ α)
order lowpass filters approximating a traditional Butterworth magnitude response. These …
order lowpass filters approximating a traditional Butterworth magnitude response. These …
New alternatives for analog implementation of fractional-order integrators, differentiators and PID controllers based on integer-order integrators
C Muñiz-Montero, LV García-Jiménez… - Nonlinear …, 2017 - Springer
In this work, we propose an alternative for the circuital realization of analog fractional-order
differentiators and integrators without using ladder networks. This alternative is obtained by …
differentiators and integrators without using ladder networks. This alternative is obtained by …
Design of fractional-order Chebyshev low-pass filter for optimized magnitude response using metaheuristic evolutionary algorithms
The research work presented in this paper discusses the traditional methods of design of
fractional-order filters and their shortcomings and proposes a method of deriving the …
fractional-order filters and their shortcomings and proposes a method of deriving the …
Synthesis and analysis of electronically adjustable fractional-order low-pass filter
J Dvorak, L Langhammer, J Jerabek… - Journal of Circuits …, 2018 - World Scientific
A proposal of a fractional (1+ α)-order low-pass filter is presented in this paper. The
proposed filter operates in the current-mode and it is designed using Multi-Output Current …
proposed filter operates in the current-mode and it is designed using Multi-Output Current …
High-frequency capacitorless fractional-order CPE and FI emulator
A fractional-order capacitor and inductor emulator, implemented using MOS transistors,
instead of passive capacitors, is introduced in this paper. This is achieved using current …
instead of passive capacitors, is introduced in this paper. This is achieved using current …
Fully differential fifth-order dual-notch powerline interference filter oriented to EEG detection system with low pass feature
This paper presents a fifth-order dual-notch low pass filter oriented to portable
Electroencephalogram (EEG) detection system. The proposed filter is based on active …
Electroencephalogram (EEG) detection system. The proposed filter is based on active …
Capacitorless digitally programmable fractional-order filters
Novel topologies of fractional-order filters, implemented using the internal gate-source
capacitance of MOS transistors, are introduced in this paper. This has been achieved using …
capacitance of MOS transistors, are introduced in this paper. This has been achieved using …
Current-mode capacitorless integrators and differentiators for implementing emulators of fractional-order elements
Fractional-order capacitor and inductor emulator, implemented using current-mirrors as
active elements and MOS transistors as capacitors, is introduced in this paper. Current …
active elements and MOS transistors as capacitors, is introduced in this paper. Current …
Design and optimisation of regression-type small phase shift FIR filters and FIR-based differentiators with optimal local response in LS-sense
M Sakow, K Marchelek - Mechanical Systems and Signal Processing, 2021 - Elsevier
The design of finite impulse response (FIR) filters and FIR-based differentiators is a popular
topic in the field of digital signal processing. FIR filters/differentiators are characterised by a …
topic in the field of digital signal processing. FIR filters/differentiators are characterised by a …