Practical Design of Fractional-Order Resonator for Application in the Multiphase Oscillator

Abstract

This contribution introduces a new simple electronically adjustable resonator for implementation in design of the fractional-order multiphase oscillator created with parallel connection of this resonator and negative resistor. The circuit may operate in single-ended or differential/pseudodifferential mode using integer and fractional-order capacitor. Design example is provided for generation of signals with ideal phase shifts equal to 22.5, 157.5 and 180 degrees in the operating frequency band of 47 kHz ̶ 275 kHz with simple tuning of a single parameter. The features of the circuit were verified by PSpice simulations using suitable models and building blocks. Results confirmed expected behavior.

Reconnection–less Reconfigurable Fractional–Order Current–Mode Integrator Design With Simple Control

“…Fractional-order systems have found their application in diverse industry branches such as medicine [1,2], modeling and measurement of various signals [3][4][5], agriculture [6], car industry [7], etc. In case of the electrical engineering, the utilization of FO calculus covers circuits filtering the spectrum [8][9][10][11][12][13][14][15][16][17], FO oscillators [18][19][20][21][22][23] and other circuits with fractional-order characteristics [24][25][26][27][28][29], which then can be implemented and find their purpose in applications of above-mentioned industry areas.…”