@article{(Open Science Index):https://publications.waset.org/pdf/14350,
	  title     = {Particle Filter Applied to Noisy Synchronization in Polynomial Chaotic Maps},
	  author    = {Moussa Yahia and  Pascal Acco and  Malek Benslama},
	  country	= {},
	  institution	= {},
	  abstract     = {Polynomial maps offer analytical properties used to obtain better performances in the scope of chaos synchronization under noisy channels. This paper presents a new method to simplify equations of the Exact Polynomial Kalman Filter (ExPKF) given in [1]. This faster algorithm is compared to other estimators showing that performances of all considered observers vanish rapidly with the channel noise making application of chaos synchronization intractable. Simulation of ExPKF shows that saturation drawn on the emitter to keep it stable impacts badly performances for low channel noise. Then we propose a particle filter that outperforms all other Kalman structured observers in the case of noisy channels.
	    journal   = {International Journal of Electronics and Communication Engineering},
	  volume    = {3},
	  number    = {11},
	  year      = {2009},
	  pages     = {2133 - 2137},
	  ee        = {https://publications.waset.org/pdf/14350},
	  url   	= {https://publications.waset.org/vol/35},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 35, 2009},