Performance of Chaotic Lu System in CDMA Satellites Communications Systems
This paper investigates the problem of spreading
sequence and receiver code synchronization techniques for satellite
based CDMA communications systems. The performance of CDMA
system depends on the autocorrelation and cross-correlation
properties of the used spreading sequences. In this paper we propose
the uses of chaotic Lu system to generate binary sequences for
spreading codes in a direct sequence spread CDMA system. To
minimize multiple access interference (MAI) we propose the use of
genetic algorithm for optimum selection of chaotic spreading
sequences. To solve the problem of transmitter-receiver
synchronization, we use the passivity controls. The concept of
semipassivity is defined to find simple conditions which ensure
boundedness of the solutions of coupled Lu systems. Numerical
results are presented to show the effectiveness of the proposed
approach.
[1] Pelton (J .N), Oslund (R. J), "Communications satellites :global change
agents", Lawrence Erlbaum associates, publishers mahwah, New Jersey
London, 2004
[2] Wang (W.), Blostein (S.), "Video image transmission over mobile
satellite channels, Signal Processing Image communication", 2001, pp.
531-540.
[3] M. P. Kennedy, G. Kolumbán, G. Kis, Z. Jákó, "Recent advances in
communicating with chaos", Proc. IEEE-ISCAS -98, Monterey, CA, ,
vol. IV, 1998, pp. 461-464
[4] Vojcic (B. R.), Milstein(L. B.), Pickholtz (R. L.), "Downlink DS CDMA
Performance Over a Mobile Satellite Channel", IEE Trans. Veh.
Technol., vol. 45, no. 3, pp 551-559, 1996
[5] De Gaudenzi (R.) and Giannetti (F.), "DS-CDMA satellite diversity
reception for personal satellite communication: Satellite-to-mobile link
performance analysis", IEEE Trans. Veh. Technol, vol. 47, pp. 658-672,
1998
[6] H. H. Dam, H. Zepernick, and H. L¨uders, "On the Design of Complexvalued
Spreading Sequences Using a Genetic Algorithm" , IEEE Proc
ISSSTA 2004, Australia, 2004, pp. 704-707.
[7] P. J. E. Jeszensky, J. R. F. Junior, "Sequences selection for
quasisynchronous CDMA systems", Proceedings of ZEEE
5"International Symposium on Spread Spectrum Techniques and
Applications, vo1.3, no.30, 1998, pp.706-708.
[8] A Mizaee and H. Aghaeinia, "Design of new class of spreading
sequence using chaotic dynamical systems for asynchronous DS-CDMA
application", Proc of ISCC04, 2004, pp 720-724.
[9] G. Kolumbán, M. P. Kennedy, L. O. Chua, "The role of synchronization
in digital communication using chaos - Part II: Modulation and chaotic
synchronization", IEEE Trans. Circuits and Systems I, vol. 45, pp. 1129-
1139, November 1998
[10] T. Liao and N. Huang, "An observer-based approach for chaotic
synchronization with applications to secure communications," IEEE
Trans. Circuits Syst.ÔÇöI: Fundamental Theory Applicat., vol. 46, pp.
1144-1150, Sept. 1999
[11] L. M. Pecora and T. L. Carroll, "Synchronization in chaotic systems",
Phys. Rev. Lett., vol.64, no. 8, pp. 821-824, 1990.
[12] T. L. Carroll and L. M. Pecora, "Synchronization in chaotic circuits",
IEEE Trans. On Circuits Syst., vol. 38, no. 4, pp. 453-456, 1991.
[13] L. Kocarev and U. Parlitz, "General approach for chaotic
synchronization with application to communication", Phys. Rev. Lett.,
vol. 74, pp. 5028-5031, 1995
[14] Hong (Y.), Qin (H.), Chen (G.), " adaptive synchronization of chaotic
systems via state or output feedback control", International Journal of
Bifurcation and Chaos, vol. 11, no. 4, pp. 1149-1158, 2001
[15] Pogromsky (A.), Nijmeijer (H.), "Cooperative Oscillatory Behavior of
Mutually Coupled Dynamical Systems", IEEE transactions on circuit
and systems: fundamental theory and applications, vol. 48, no. 2, pp
1149-1158, 2001
[16] K. Kemih, S. Filali, M. Benslama and M. Kimouche, "Passivity based
control of Lu system", to appear in IJICIC journal, vol.2, no. 2, 2006
[17] C. I. Byrnes, A. Isidori and J. C. Willems, "Passivity, feedback
equivalence and the global stabilization of minimum phase nonlinear
systems", IEEE Trans. Automat. Contr., 36(1), pp. 1228-1240, 1991.
[18] Yu (W), "Passive Equivalence of Chaos in Lorenz System", IEEE
Transaction on circuits and systems-1:fundamental theory and
applications, vol. 46,no. 7, pp.876-878, 1999
[19] Polushin (I. G.), Hill (D. J.), and. Fradkov (A. L), "Strict quasipassivity
and ultimate boundedness for nonlinear control systems", Proc. 4th
IFAC Symp. Nonlinear Control Systems, NOLCOS-98, 1998, pp. 527-
532.
[20] H. Chou, G. Premkumar, and C. Chu, "Genetic algorithm for
communications network design- an empirical study of the factors that
influence performance," IEEE Trans.Evolutionary Computation, vol. 5,
pp. 236-249, June 2001.
[21] Z. Altman, R. Mittra, and A. Boag, "New designs of ultra wide-band
communication antennas using a genetic algorithm," IEEE Trans.
AntennasPropagat., vol. 45, pp. 1494-1501, Oct. 1997
[22] Mazzini G., Rovatti R. and Setti G. "Sequences synchronization chaosbased
DS-CDMA systems". IEEE international symposium on circuit
and antenna (ISCAS-98). Monterey, Califomia, USA. 1998, part 4 of 6:
pages485-488.
[23] S.E. El-Khamy, M.M. Gad, S.E. Shaaban, "Optimization of chaotic
spreading codes for asynchronous DS-CDMA applications using genetic
algorithms", Radio Science Conference, 2005. NRSC 2005. Proceedings
of the Twenty-Second National,March 15-17, 2005, C3, pp1-11
[1] Pelton (J .N), Oslund (R. J), "Communications satellites :global change
agents", Lawrence Erlbaum associates, publishers mahwah, New Jersey
London, 2004
[2] Wang (W.), Blostein (S.), "Video image transmission over mobile
satellite channels, Signal Processing Image communication", 2001, pp.
531-540.
[3] M. P. Kennedy, G. Kolumbán, G. Kis, Z. Jákó, "Recent advances in
communicating with chaos", Proc. IEEE-ISCAS -98, Monterey, CA, ,
vol. IV, 1998, pp. 461-464
[4] Vojcic (B. R.), Milstein(L. B.), Pickholtz (R. L.), "Downlink DS CDMA
Performance Over a Mobile Satellite Channel", IEE Trans. Veh.
Technol., vol. 45, no. 3, pp 551-559, 1996
[5] De Gaudenzi (R.) and Giannetti (F.), "DS-CDMA satellite diversity
reception for personal satellite communication: Satellite-to-mobile link
performance analysis", IEEE Trans. Veh. Technol, vol. 47, pp. 658-672,
1998
[6] H. H. Dam, H. Zepernick, and H. L¨uders, "On the Design of Complexvalued
Spreading Sequences Using a Genetic Algorithm" , IEEE Proc
ISSSTA 2004, Australia, 2004, pp. 704-707.
[7] P. J. E. Jeszensky, J. R. F. Junior, "Sequences selection for
quasisynchronous CDMA systems", Proceedings of ZEEE
5"International Symposium on Spread Spectrum Techniques and
Applications, vo1.3, no.30, 1998, pp.706-708.
[8] A Mizaee and H. Aghaeinia, "Design of new class of spreading
sequence using chaotic dynamical systems for asynchronous DS-CDMA
application", Proc of ISCC04, 2004, pp 720-724.
[9] G. Kolumbán, M. P. Kennedy, L. O. Chua, "The role of synchronization
in digital communication using chaos - Part II: Modulation and chaotic
synchronization", IEEE Trans. Circuits and Systems I, vol. 45, pp. 1129-
1139, November 1998
[10] T. Liao and N. Huang, "An observer-based approach for chaotic
synchronization with applications to secure communications," IEEE
Trans. Circuits Syst.ÔÇöI: Fundamental Theory Applicat., vol. 46, pp.
1144-1150, Sept. 1999
[11] L. M. Pecora and T. L. Carroll, "Synchronization in chaotic systems",
Phys. Rev. Lett., vol.64, no. 8, pp. 821-824, 1990.
[12] T. L. Carroll and L. M. Pecora, "Synchronization in chaotic circuits",
IEEE Trans. On Circuits Syst., vol. 38, no. 4, pp. 453-456, 1991.
[13] L. Kocarev and U. Parlitz, "General approach for chaotic
synchronization with application to communication", Phys. Rev. Lett.,
vol. 74, pp. 5028-5031, 1995
[14] Hong (Y.), Qin (H.), Chen (G.), " adaptive synchronization of chaotic
systems via state or output feedback control", International Journal of
Bifurcation and Chaos, vol. 11, no. 4, pp. 1149-1158, 2001
[15] Pogromsky (A.), Nijmeijer (H.), "Cooperative Oscillatory Behavior of
Mutually Coupled Dynamical Systems", IEEE transactions on circuit
and systems: fundamental theory and applications, vol. 48, no. 2, pp
1149-1158, 2001
[16] K. Kemih, S. Filali, M. Benslama and M. Kimouche, "Passivity based
control of Lu system", to appear in IJICIC journal, vol.2, no. 2, 2006
[17] C. I. Byrnes, A. Isidori and J. C. Willems, "Passivity, feedback
equivalence and the global stabilization of minimum phase nonlinear
systems", IEEE Trans. Automat. Contr., 36(1), pp. 1228-1240, 1991.
[18] Yu (W), "Passive Equivalence of Chaos in Lorenz System", IEEE
Transaction on circuits and systems-1:fundamental theory and
applications, vol. 46,no. 7, pp.876-878, 1999
[19] Polushin (I. G.), Hill (D. J.), and. Fradkov (A. L), "Strict quasipassivity
and ultimate boundedness for nonlinear control systems", Proc. 4th
IFAC Symp. Nonlinear Control Systems, NOLCOS-98, 1998, pp. 527-
532.
[20] H. Chou, G. Premkumar, and C. Chu, "Genetic algorithm for
communications network design- an empirical study of the factors that
influence performance," IEEE Trans.Evolutionary Computation, vol. 5,
pp. 236-249, June 2001.
[21] Z. Altman, R. Mittra, and A. Boag, "New designs of ultra wide-band
communication antennas using a genetic algorithm," IEEE Trans.
AntennasPropagat., vol. 45, pp. 1494-1501, Oct. 1997
[22] Mazzini G., Rovatti R. and Setti G. "Sequences synchronization chaosbased
DS-CDMA systems". IEEE international symposium on circuit
and antenna (ISCAS-98). Monterey, Califomia, USA. 1998, part 4 of 6:
pages485-488.
[23] S.E. El-Khamy, M.M. Gad, S.E. Shaaban, "Optimization of chaotic
spreading codes for asynchronous DS-CDMA applications using genetic
algorithms", Radio Science Conference, 2005. NRSC 2005. Proceedings
of the Twenty-Second National,March 15-17, 2005, C3, pp1-11
@article{"International Journal of Electrical, Electronic and Communication Sciences:63990", author = "K. Kemih and M. Benslama", title = "Performance of Chaotic Lu System in CDMA Satellites Communications Systems", abstract = "This paper investigates the problem of spreading
sequence and receiver code synchronization techniques for satellite
based CDMA communications systems. The performance of CDMA
system depends on the autocorrelation and cross-correlation
properties of the used spreading sequences. In this paper we propose
the uses of chaotic Lu system to generate binary sequences for
spreading codes in a direct sequence spread CDMA system. To
minimize multiple access interference (MAI) we propose the use of
genetic algorithm for optimum selection of chaotic spreading
sequences. To solve the problem of transmitter-receiver
synchronization, we use the passivity controls. The concept of
semipassivity is defined to find simple conditions which ensure
boundedness of the solutions of coupled Lu systems. Numerical
results are presented to show the effectiveness of the proposed
approach.", keywords = "About Chaotic Lu system, synchronization,Spreading sequence, Genetic Algorithm. Passive System", volume = "1", number = "8", pages = "1197-8", }