Applications of symbolic dynamics to UWB impulse radio

In this paper we propose a pseudo-chaotic modulation suitable for ultra-wide bandwidth (UWB) impulse radio. The coding scheme is based upon controlling the symbolic dynamics of a chaotic map for encoding the digital information to be transmitted. A maximum-likelihood detector is presented and its scalability features are illustrated.

[1]  Moe Z. Win,et al.  Impulse radio: how it works , 1998, IEEE Communications Letters.

[2]  Douglas Lind,et al.  An Introduction to Symbolic Dynamics and Coding , 1995 .

[3]  Robert A. Scholtz,et al.  Multiple access with time-hopping impulse modulation , 1993, Proceedings of MILCOM '93 - IEEE Military Communications Conference.

[4]  Leon O. Chua,et al.  Chaotic Impulse Radio: a Novel Chaotic Secure Communication System , 2000, Int. J. Bifurc. Chaos.

[5]  Jr. G. Forney,et al.  The viterbi algorithm , 1973 .

[6]  Nikolai F. Rulkov,et al.  Chaotic pulse position modulation: a robust method of communicating with chaos , 2000, IEEE Communications Letters.

[7]  Kennedy,et al.  Predictive Poincaré control: A control theory for chaotic systems. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[8]  Grebogi,et al.  Communicating with chaos. , 1993, Physical review letters.