Applications of symbolic dynamics to differential chaos shift keying

In this paper, we present an enhanced version of the differential chaos shift keying (DCSK) scheme where the carrier symbolic dynamics are exploited for conveying useful information. This is achieved by means of a pseudochaotic encoder which spreads the input sequence approximating the dynamics of the Bernoulli shift. The information encoded in the pseudochaotic carrier is retrieved by using standard maximum-likelihood detection techniques. Moreover, it is shown that the proposed method can also be useful for noise filtering purposes. Finally, we characterize the total transfer of information between transmitter and receiver in terms of trans-information.

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

[2]  G. Kis,et al.  Application of noise reduction to chaotic communications: a case study , 2000 .

[3]  M. Mackey,et al.  Chaos, Fractals, and Noise: Stochastic Aspects of Dynamics , 1998 .

[4]  John G. Proakis,et al.  Digital Communications , 1983 .

[5]  Constrained and unconstrained noise reduction on chaotic trajectories , 1999 .

[6]  Michael Peter Kennedy,et al.  FM-DCSK: A robust modulation scheme for chaotic communications , 1998 .

[7]  David Mackay.  Information Theory, Pattern Recognition and Neural Networks , 1997 .

[8]  Wolfgang Schwarz,et al.  Maximum Likelihood Detection of Symbolic Dynamics in Communication Systems with Chaos Shift Keying , 2000 .

[9]  Géza Kolumbán,et al.  On some recent developments of noise cleaning algorithms for chaotic signals , 2000 .

[10]  Nikolai F. Rulkov,et al.  Pseudo-chaotic time hopping for UWB impulse radio , 2001 .

[11]  Gábor Kis,et al.  Multipath performance of FM-DCSK chaotic communications system , 2000, 2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353).

[12]  Robert Shaw.  Strange Attractors, Chaotic Behavior, and Information Flow , 1981 .

[13]  E. Ott.  Chaos in Dynamical Systems: Contents , 1993 .

[14]  B. Hao,et al.  Applied Symbolic Dynamics and Chaos , 1998 .

[15]  Michael Peter Kennedy,et al.  The role of synchronization in digital communications using chaos. II. Chaotic modulation and chaotic synchronization , 1998 .

[16]  Martin Hasler,et al.  Noise Filtering in chaos-based communication , 2000 .

[17]  Gian Mario Maggio,et al.  Applications of symbolic dynamics to UWB impulse radio , 2001, ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196).

[18]  H. Dedieu,et al.  Noise reduction in chaotic time series - an overview , 1998 .

[19]  Thomas Schimming.  Chaos based modulations from an information theory perspective , 2001, ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196).

[20]  David J. C. MacKay,et al.  Information Theory, Inference, and Learning Algorithms , 2004, IEEE Transactions on Information Theory.

[21]  Michael Peter Kennedy,et al.  The role of synchronization in digital communications using chaos. I . Fundamentals of digital communications , 1997 .