An adaptive demodulator for the chaotic modulation communication system with RBF neural network

Chaotic modulation is an important spread spectrum (SS) technique amongst chaotic communications. The logistic chaotic signal acts as the modulation signal in this paper. An adaptive demodulator based on the radial basis function (RBF) neural network is proposed. The demodulator makes use of the good approximant capacity of RBF network for a nonlinear dynamical system. Using the proposed adaptive learning algorithm, the source message can be recovered from the received SS signal. The recovering procedure is on line and adaptive. The simulated examples are included to demonstrate the new method. For the purpose of comparison, the extended-Kalman-filter-based (EKF) demodulator was also analysed. The results indicate that the mean square error (MSE) of the recovered source signal by the proposed demodulator Is significantly reduced, especially for the SS signal with a higher signal-to noise ratio (SNR).

[1]  Leon O. Chua,et al.  Spread Spectrum Communication Through Modulation of Chaos , 1993 .

[2]  Alan V. Oppenheim,et al.  Synchronization of Lorenz-based chaotic circuits with applications to communications , 1993 .

[3]  Paramasivan Saratchandran,et al.  Performance evaluation of a sequential minimal radial basis function (RBF) neural network learning algorithm , 1998, IEEE Trans. Neural Networks.

[4]  H. Leung,et al.  Design of demodulator for the chaotic modulation communication system , 1997 .

[5]  Cheng-Liang Chen,et al.  Hybrid learning algorithm for Gaussian potential function networks , 1993 .

[6]  Stephen A. Billings,et al.  International Journal of Control , 2004 .

[7]  Mona E. Zaghloul,et al.  Improved masking algorithm for chaotic communications systems , 1996 .

[8]  F. Takens Detecting strange attractors in turbulence , 1981 .

[9]  Chang-song Zhou,et al.  ROBUST COMMUNICATION VIA CHAOTIC SYNCHRONIZATION BASED ON CONTRACTION MAPS , 1997 .

[10]  Jaafar M. H. Elmirghani,et al.  Chaotic transmission strategies employing artificial neural networks , 1998, IEEE Communications Letters.

[11]  Visakan Kadirkamanathan,et al.  A Function Estimation Approach to Sequential Learning with Neural Networks , 1993, Neural Computation.

[12]  Po-Rong Chang,et al.  Environment-adaptation mobile radio propagation prediction using radial basis function neural networks , 1997 .

[13]  Narasimhan Sundararajan,et al.  Identification of time-varying nonlinear systems using minimal radial basis function neural networks , 1997 .

[14]  Michael Peter Kennedy,et al.  Chaos shift keying : modulation and demodulation of a chaotic carrier using self-sychronizing chua"s circuits , 1993 .

[15]  Venkatesh Nagesha,et al.  Methods for chaotic signal estimation , 1995, IEEE Trans. Signal Process..

[16]  Y Lu,et al.  A Sequential Learning Scheme for Function Approximation Using Minimal Radial Basis Function Neural Networks , 1997, Neural Computation.

[17]  Riccardo Rovatti,et al.  Chaotic complex spreading sequences for asynchronous DS-CDMA. I. System modeling and results , 1997 .

[18]  Laurence B. Milstein,et al.  Spread-Spectrum Communications , 1983 .

[19]  R. A. Cryan,et al.  New chaotic based communication technique with multiuser provision , 1994 .

[20]  Clare D. McGillem,et al.  A chaotic direct-sequence spread-spectrum communication system , 1994, IEEE Trans. Commun..

[21]  Ned J. Corron,et al.  A new approach to communications using chaotic signals , 1997 .

[22]  Jaafar M. H. Elmirghani,et al.  Efficient chaotic-driven echo path modelling , 1995 .