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A Method for Chaotic Self-Modulation in Nonlinear Colpitts Oscillator and its Potential Applications

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Abstract

The paper presents a simple modification in feedback connectivity of the standard chaotic Colpitts oscillator for producing harmonic self-modulation of the chaotic output. The modification consists of replacing the usual shunt feedback connectivity by a secondary LC-tank of resonance frequency lower than that of the primary LC-tank which defines the feedback network. The secondary LC-tank works as notch filter for the feedback signal and introduces additional frequency nonlinearity. This results in sinusoidal amplitude modulation of the chaotic output at frequency equal to the resonance frequency of the secondary LC-tank. The modulation depth is controlled by the biasing current and the load resistance. The modified circuit exhibits varied chaotic self-modulation characteristics with respect to variations in the system parameters. The modification outlines an approach for embedding self-modulating chaos control that can be extended for developing novel parametric chaos modulators and demodulators with embedded reference signal for chaos synchronization. A discussion on potential advantages and applications of this modification in chaos communication and sensors is presented.

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Acknowledgements

The author Saumitra Mishra is thankful to University Grants Commission, New Delhi, for providing UGC fellowship. The authors would like to thank their colleagues Mr. Aman Kumar Singh, Mr. T. Sonamani Singh, Mr. Anurag Gupta and Ms. Priyanka Singh for their help and support. Thanks are due to Prof. Arvind. K. Mishra for his valuable comments and suggestions.

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  1. Sensors and Signal Processing Laboratory, Department of Physics, Institute of Science, Banaras Hindu University, Varanasi, 221005, India

    Saumitra Mishra & R. D. S. Yadava

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  1. Saumitra Mishra
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  2. R. D. S. Yadava
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Correspondence to R. D. S. Yadava.

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Mishra, S., Yadava, R.D.S. A Method for Chaotic Self-Modulation in Nonlinear Colpitts Oscillator and its Potential Applications. Circuits Syst Signal Process 37, 532–552 (2018). https://doi.org/10.1007/s00034-017-0579-5

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  • DOI: https://doi.org/10.1007/s00034-017-0579-5

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