A non-correlator-based digital communication system using interleaved chaotic differential peaks keying (I-CDPK) modulation and chaotic synchronization

This paper presents a novel non-correlator-based digital communication system with the application of interleaved chaotic differential peaks keying (I-CDPK) modulation technique. The proposed communication system consists of four major modules: I-CDPK modulator (ICM), frequency modulation (FM) transmitter, FM receiver and I-CDPK demodulator (ICDM). In the ICM module, there are four components: a chaotic circuit to generate the chaotic signals, A/D converter, D/A converter and a digital processing mechanism to control all signal flows and performs I-CDPK modulation corresponding to the input digital bits. For interleaving every input digital bit set, every state of the chaotic system is used to represent one portion of it, but only a scalar state variable (i.e. the system output) is sent to the ICDM’s chaotic circuit through both FM transmitter and FM receiver. An observer-based chaotic synchronization scheme is designed to synchronize the chaotic circuits of the ICM and ICDM. Meanwhile, the bit detector in ICDM is devoted to recover the transmitted input digital bits. Some numerical simulations of an illustrative communication system are given to demonstrate its theoretical effectiveness. Furthermore, the performance of bit error rate of the proposed system is analyzed and compared with those of the correlator-based communication systems adopting coherent binary phase shift keying (BPSK) and coherent differential chaotic shift keying (DCSK) schemes.

[1]  J. Sprott,et al.  Some simple chaotic flows. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  Douglas R. Frey.  On chaotic digital encoding and generalized inverses , 1995, Proceedings of ISCAS'95 - International Symposium on Circuits and Systems.

[3]  S. Laufer,et al.  Chaotic signals for multiple access communications , 1995, Eighteenth Convention of Electrical and Electronics Engineers in Israel.

[4]  Leon O. Chua,et al.  Applications of Chaotic Digital Code-Division Multiple Access (CDMA) to Cable Communication Systems , 1998 .

[5]  Gregory W. Wornell,et al.  Efficient channel coding for analog sources using chaotic systems , 1996, Proceedings of GLOBECOM'96. 1996 IEEE Global Telecommunications Conference.

[6]  J. Miguez,et al.  A novel channel coding scheme based on continuous-time chaotic dynamics , 2002, 2002 14th International Conference on Digital Signal Processing Proceedings. DSP 2002 (Cat. No.02TH8628).

[7]  Marvin K. Simon,et al.  Digital Communication Techniques: Signal Design and Detection , 2008 .

[8]  G. Kolumbán.  Theoretical noise performance of correlator-based chaotic communications schemes , 2000 .

[9]  W. G. Chambers,et al.  Comments on "Chaotic digital encoding: an approach to secure communication" and reply , 1999 .

[10]  Leon O. Chua,et al.  Evaluation of a continuous Valued Chaotic spreader used in a Chaotic Digital Code-Division Multiple Access ((CD)2mA) System , 2000, Int. J. Bifurc. Chaos.

[11]  E. Solak,et al.  On the Synchronization of Chaos Systems by Using State Observers , 1997 .

[12]  S. Mascolo,et al.  Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal , 1997 .

[13]  Michael Peter Kennedy,et al.  Digital communications using chaos , 2000, Signal Process..

[14]  T. Liao.  Observer-based approach for controlling chaotic systems , 1998 .

[15]  Michael Peter Kennedy,et al.  Communications using chaos/spl Gt/MINUS. III. Performance bounds for correlation receivers , 2000 .

[16]  Louis M. Pecora,et al.  Synchronizing chaotic circuits , 1991 .

[17]  Nikolai F. Rulkov,et al.  Digital communication using chaotic-pulse-position modulation , 2001 .

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

[19]  Martin Hasler,et al.  Multiple access communications using chaotic signals , 1996, 1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96.

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

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

[22]  Chi K. Tse,et al.  A multiple-access technique for differential chaos-shift keying , 2002 .

[23]  Teh-Lu Liao,et al.  Design of secure digital communication systems using chaotic modulation, cryptography and chaotic synchronization , 2005 .

[24]  D. R. Frey,et al.  Chaotic digital encoding: an approach to secure communication , 1993 .

[25]  David Munoz-Rodriguez,et al.  Chaotic sequences for multiple access , 1998 .

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

[27]  T. Aislam,et al.  Secure communications using chaotic digital encoding , 1996 .

[28]  Martin Hasler,et al.  Coded modulations based on controlled 1-D and 2-D piecewise linear chaotic maps , 2003, Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03..

[29]  G. Kolumban,et al.  Differential chaos shift keying : A robust coding for chaotic communication , 1996 .

[30]  S. S. Pietrobon,et al.  Chaotic turbo codes , 2000, 2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060).