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/pseudo-differential 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 behaviorThis 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/pseudo-differential 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