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Complete Design Guidelines for Fractional-Order Colpitts Oscillator with Non-ideal Op-Amp

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Abstract

This paper presents complete design guidelines for a typical fractional-order Colpitts oscillator (FOCO) with a non-ideal op-amp. These guidelines include effects of op-amp non-idealities like, open-loop dc gain, unity gain frequency and output resistance, into the design. The relation among these non-idealities and the frequency of oscillation (\(f_o\)) are analytically established and an optimal configuration for FOCO is identified. The paper discusses multiple case studies on parametric variation, parameter sensitivities and oscillator stability. The proposed guidelines are validated with LTSpice simulations and practical experimentation along with step-by-step design examples. Practical results are compared with earlier reported FOCO which shows higher frequency and larger amplitude for the designed FOCO at a comparable THD. The proposed guidelines are generic in the sense that they are applicable for any order (including integer order), for any type of fractor realization technique, and also for any active element which has first-order behavioral model.

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  1. Department of Electrical Engineering and Computer Science, Indian Institute of Technology Bhilai, Raipur, 492015, India

    Agniv Tapadar, Srishti Sachan & Avishek Adhikary

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  1. Agniv Tapadar
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Tapadar, A., Sachan, S. & Adhikary, A. Complete Design Guidelines for Fractional-Order Colpitts Oscillator with Non-ideal Op-Amp. Circuits Syst Signal Process 41, 5340–5365 (2022). https://doi.org/10.1007/s00034-022-02045-z

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