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A chaotic communication system of improved performance based on the Derivative-free nonlinear Kalman filter

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  • Gerasimos Rigatos

Abstract

The Derivative-free nonlinear Kalman Filter is used for developing a communication system that is based on a chaotic modulator such as the Duffing system. In the transmitter’s side, the source of information undergoes modulation (encryption) in which a chaotic signal generated by the Duffing system is the carrier. The modulated signal is transmitted through a communication channel and at the receiver’s side demodulation takes place, after exploiting the estimation provided about the state vector of the chaotic oscillator by the Derivative-free nonlinear Kalman Filter. Evaluation tests confirm that the proposed filtering method has improved performance over the Extended Kalman Filter and reduces significantly the rate of transmission errors. Moreover, it is shown that the proposed Derivative-free nonlinear Kalman Filter can work within a dual Kalman Filtering scheme, for performing simultaneously transmitter–receiver synchronisation and estimation of unknown coefficients of the communication channel.

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  • Gerasimos Rigatos, 2016. "A chaotic communication system of improved performance based on the Derivative-free nonlinear Kalman filter," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(9), pages 2152-2168, July.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2152-2168
    DOI: 10.1080/00207721.2014.978412
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    1. Xiong, Jie, 2008. "An Introduction to Stochastic Filtering Theory," OUP Catalogue, Oxford University Press, number 9780199219704.
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