Abstract
This paper presents a study of fractional order quadrature oscillators based on current-controlled current follower transconductance amplifiers (CCCFTA). The design realisation and performance of the fractional order quadrature oscillators have been presented. The quadrature oscillators are constructed using three fractional capacitors of orders α = 0.5. The fractional capacitor is not available on the market or in the PSPICE program. Fortunately, the fractional capacitor can be realised by using the approximate method for the RC ladder network approximation. The oscillation frequency and oscillation condition can be electronically/orthogonally controlled via input bias currents. Due to high-output impedances, the proposed circuit enables easy cascading in current-mode (CM). The PSPICE simulation results are depicted, and the given results agree well with the anticipated theoretical outcomes.
Highlights
Fractional calculus, the branch of mathematics that addresses non-integer order differentiation and integration, is a field that is over 300 years old
This paper presents a study of fractional order quadrature oscillators based on current-controlled current follower transconductance amplifiers (CCCFTA)
Because the parasitic resistance of the f terminal of CCCFTA is used as an active resistor in this circuit, this fractional order quadrature oscillator only consists of two CCCFTAs and three fractional capacitors
Summary
Fractional calculus, the branch of mathematics that addresses non-integer order differentiation and integration, is a field that is over 300 years old. Fractional calculus addresses the generalization of differentiation and integration of non-integer orders. Intani 4202 their ability to solve fractional differential equations [2] This issue has changed over the past few years as several methods of fractional derivative and integral approximation have been developed [3] [4] [5]; fractional calculus can be used to model a wide area of applications. The use of the fractional Laplacian operator allows for the design and analysis of systems using concepts from fractional calculus without having to solve the difficult time domain representations. A study of a generalized fractional order CCCFTA-based oscillator circuit is introduced. The general CO and FO for this oscillator are derived with the use of the RC ladder network
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