Related Experiment Video
Updated: May 10, 2025

Interactive and Visualized Online Experimentation System for Engineering Education and Research
Published on: November 24, 2021
Design, synthesis and simulation of fractional-order element using MOS transistors as distributed resistive
David Kubanek1, Aleksandr Shadrin2, Pavel Seda2
1Faculty of Electrical Engineering and Communication, Brno University of Technology, Technicka 3082/12, 616 00, Brno, Czechia. kubanek@vut.cz.
This study introduces a novel method for designing fractional-order elements (FOEs) using standard Metal-Oxide-Semiconductor (MOS) transistors. The developed technique enables the creation of precise electronic components with fractional-order impedance for advanced circuit applications.
Area of Science:
- Electrical Engineering
- Materials Science
- Computer Engineering
Background:
- Fractional-order elements (FOEs) offer unique impedance characteristics not achievable with traditional integer-order components.
- Implementing FOEs using standard integrated circuit technology has been a significant challenge.
- Existing methods for synthesizing FOEs are often complex and not readily compatible with current manufacturing processes.
Purpose of the Study:
- To present a novel synthesis method for designing fractional-order elements (FOEs) using Metal-Oxide-Semiconductor (MOS) transistors.
- To enable the fabrication of FOEs using existing integrated circuit manufacturing technologies.
- To validate the proposed design approach through simulations.
Main Methods:
- MOS transistors were modeled as uniform distributed resistive-capacitive layer structures.
- A genetic algorithm was employed to optimize MOS transistor interconnections and dimensions for desired FOE characteristics.
- A graphical user interface (GUI) was developed to facilitate the synthesis process.
- The design was validated using Cadence post-layout simulations in TSMC 65 nm technology.
Main Results:
- Successfully synthesized FOEs with admittance phase ranging from 5 to 85 degrees.
- Post-layout simulations confirmed the design's accuracy, showing magnitude and phase errors below 0.5% and 0.1 degrees, respectively.
- The validated frequency range for the synthesized FOEs was from 1 kHz to 10 MHz.
Conclusions:
- The proposed synthesis method effectively designs fractional-order elements (FOEs) using MOS transistors.
- The approach is compatible with current integrated circuit manufacturing technologies, paving the way for practical FOE fabrication.
- The validated simulation results demonstrate high accuracy and suitability for future real-world applications.
Related Concept Videos
MOS Capacitor
The metal gate is typically made from highly conductive materials such as aluminum or polysilicon. Beneath the metal gate lies a thin layer of...
Design Example: Capacitance Multiplier Circuit
The circuit illustrated in Figure 1 below incorporates two op-amps, with the first operating as a voltage follower and the second acting as an inverting amplifier.
Design Example: Underdamped Parallel RLC Circuit
Starting with a fixed...
Characteristics of MOSFET
Various vital parameters influence their functionality, which is crucial for theory and electronics applications. First, channel dimensions, precisely length, and width, are pivotal. The size of these channels affects the transistor's ability to carry current and switching speeds; shorter channels typically enable...
Design Example: Resistive Touchscreen
When a user touches the screen, the two layers make contact at a specific point known as the touchpoint. This contact reduces the resistance between...
First-Order Circuits
One common example of a first-order circuit is the RC (resistor-capacitor) circuit. These circuits are used in relaxation oscillators such as neon lamp oscillator circuits. When voltage is...

