Designing series of fractional-order elements

In this paper we propose an efficient approach to design fractional-order elements’ (FOEs) series, while using a very limited set of “seed” FOEs. The proposed follows the idea general immittance inverter/converter, whereas suitable circuit solution employing operational transconductance amplifiers is also presented and can be used for grounded FOEs with fractional order $$\alpha $$ being in range $$[-2,2]$$ . may simply extended elements from wider follow designers’ requirements. To show efficiency described technique, use only up two properly selected _\mathrm {seed}$$ as passive results series 17 different Cadence post-layout simulation are that prove operability robustness our concept. Basic 1.75-order low-pass filter utilization FOE implemented by GIC.