## A chaotic secure communication scheme using fractional chaotic systems based on an extended fractional Kalman filter.(English)Zbl 1221.94049

Summary: In recent years chaotic secure communication and chaos synchronization have received ever increasing attention. In this paper, for the first time, a fractional chaotic communication method using an extended fractional Kalman filter is presented. The chaotic synchronization is implemented by the EFKF design in the presence of channel additive noise and processing noise. Encoding chaotic communication achieves a satisfactory, typical secure communication scheme. In the proposed system, security is enhanced based on spreading the signal in frequency and encrypting it in time domain. In this paper, the main advantages of using fractional order systems, increasing nonlinearity and spreading the power spectrum are highlighted. To illustrate the effectiveness of the proposed scheme, a numerical example based on the fractional Lorenz dynamical system is presented and the results are compared to the integer Lorenz system.

### MSC:

 94A60 Cryptography 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior 93E11 Filtering in stochastic control theory 94A12 Signal theory (characterization, reconstruction, filtering, etc.)
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### References:

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