Adaptive Algorithms Versus Higher Order Cumulants for Identification and Equalization of MC-CDMA

• Autorzy: Zidane M. , Safi S. , Sabri M. , Boumezzough A. , Frikel M.
• Języki publikacji: EN

Abstrakty

EN

In this paper, a comparative study between a blind algorithm, based on higher order cumulants, and adaptive algorithms, i.e. Recursive Least Squares (RLS) and Least Mean Squares (LMS) for MultiCarrier Code Division Multiple Access (MC-CDMA) systems equalization is presented. Two practical frequency-selective fading channels, called Broadband Radio Access Network (BRAN A, BRAN B) normalized for MC-CDMA systems are considered. In the part of MC-CDMA equalization, the Zero Forcing (ZF) and the Minimum Mean Square Error (MMSE) equalizer techniques were used. The simulation results in noisy environment and for different signal to noise ratio (SNR) demonstrate that the blind algorithm gives approximately the same results obtained by adaptive algorithms. However, the proposed algorithm presents the advantage to estimate the impulse response of these channels blindly except that the input excitation is non-Gaussian, with the low calculation cost, compared with the adaptive algorithms exploiting the information of input and output for the impulse response channel estimation.

Słowa kluczowe

EN

blind identification and equalization; higher order cumulants; RLS; LMS; MC-CDMA systems

• Wydawca: Instytut Łączności - Państwowy Instytut Badawczy
• Czasopismo: Journal of Telecommunications and Information Technology
• Rocznik: 2014
• Tom: nr 3
• Strony: 53--62
• Opis fizyczny: Bibliogr. 29 poz., rys., tab.

Twórcy

autor

Zidane M.

• Department of Physics, Faculty of Sciences and Technology, Sultan Moulay Slimane University, Morocco

autor

Safi S.

• Department of Mathematics and Informatics, Polydisciplinary Faculty, Sultan Moulay Slimane University, Morocco

autor

Sabri M.

• Department of Physics, Faculty of Sciences and Technology, Sultan Moulay Slimane University, Morocco

autor

Boumezzough A.

• Department of Physics, Polydisciplinary Faculty, Sultan Moulay Slimane University, Morocco

autor

Frikel M.

• GREYC laboratory, ENSICAEN School, Caen University, France

Bibliografia

• [1] G. B. Giannakis and A. Delopoulos, “Cumulant based autocorrelation estimates of non-gaussian linear processes”, Sig. Proces., vol. 47, pp. 1–17, 1995.
• [2] C. L. Nikias and A. P. Petropulu, Higher order Spectra Analysis. Englewood Cliffs: PTR Prentice Hall, 1993.
• [3] J. M. Mendel, “Tutorial on higher order statistics in signal processing and system theory: theoretical results and some applications”, Proc. IEEE, vol. 79 pp. 278–305, 1999.
• [4] S. Safi and A. Zeroual, “Blind parametric identification of nongaussian FIR systems using higher order cumulants”, Int. J. Syst. Sci., vol. 35 pp. 855–867, 2004.
• [5] J. Antari, R. Iqdour, and A. Zeroual, “Forecasting the wind speed process using higher order statistics and fuzzy systems”, Revue des Energies Renouvelables, vol. 9, pp. 237–251, 2006.
• [6] S. Safi, M. Frikel, A. Zeroual, and M. M’Saad, “Higher order cumulants for identification and equalization of multicarrier spreading spectrum systems”, J. Telecommun. Inform. Technol., no. 2, pp. 74–84, 2011.
• [7] S. Safi, M. Frikel, M. M’Saad, and A. Zeroual, “Blind impulse response identification of frequency radio channels: application to BRAN A channel”, Int. J. Sig. Proces., vol. 4, pp. 201–206, 2007.
• [8] S. Safi, M. Frikel, M. M’Saad, and A. Zeroual, “Blind identification and equalisation of downlink TCM coded MC-CDMA systmes using cumulants”, in Proc. 16th Eur. Sig. Proces. Conf. EUSIPCO 2008, Lausanne, Switzerland, 2008.
• [9] M. Bakrim and D. Aboutajdine, “Cumulant-based identification of non gaussian moving average signals”, Traitement du Signal, vol. 16, pp. 175–186, 1999.
• [10] K. Abderrahim, R. B. Abdennour, G. Favier, M. Ksouri, and F. Msahli, “New results on FIR system identification using cumulants”, APII-JESA, vol. 35, pp. 601–622, 2001.
• [11] S. Safi and A. Zeroual, “Blind identification in noisy environment of non-minimum phase finite impulse response (FIR) system using higher order statistics”, J. Syst. Analysis Model. Simul., vol. 43, pp. 671–681, 2003.
• [12] J. Antari, A. Zeroual, and S. Safi, “Stochastic analysis and parametric identification of moving average (MA) non Gaussian signal using cumulants”, Int. J. Phys. Chemic. News, vol. 34, pp. 27–32, 2007.
• [13] M. Zidane, S. Safi, M. Sabri, and A. Boumezzough “Blind identification of minimum phase channels based on higher order cumulants”, in Proc. Int. Conf. Intell. Inform. Netw. Technol. IC2INT’13, Settat, Morocco, 2013.
• [14] M. Zidane, S. Safi, M. Sabri, and A. Boumezzough “Impulse response identification of minimum and non minimum phase channels”, in Proc. 4th Worksh. Codes, Cryptogr. Commun. Syst. WCCCS’13, Meknes, Morocco, 2013.
• [15] N. Yee, J.-P. M. G. Linnartz, and G. Fettweis, “Multi-Carrier-CDMA in indoor wireless networks”, in Proc. 4th In. Symp. Pers. Indoor and Mob. Radio Commun. PIMRC’93, Yokohama, Japan, 1993, pp. 109–113.
• [16] M. Frikel, S. Safi, B. Targui, and M. M’Saad, “Channel identification using chaos for an uplink/downlink multicarrier code division multiple access system”, J. Telecommun. Inform. Technol., no. 1, pp. 48–54, 2010.
• [17] M. Frikel, B. Targui, M. M’Saad, and F. Hamon, “Bit error rate analysis of the controlled equalization for MC-CDMA”, in Proc. IEEE Int. Conf. Sig. Proces. Commun. ICSPC 2007, Dubai, United Arab Emirates, 2007.
• [18] J. Antari, “Analyse et identification aveugle des Systémes non linéaire en utilisant les statistiques d’ordre, supérieur: application à la modélisation du trafic dans les réseaux internet”, Ph.D. thesis, Cadi Ayyad University, Marrakesh, Morocco, 2008 (in French).
• [19] S. Safi, “Identification aveugle des canaux à phase non minimale en utilisant les statistiques d’ordre supérieur: application aux réseaux mobiles”, Postdoctoral thesis, Cadi Ayyad University, Marrakesh, Morocco, 2008 (in French).
• [20] A. Y. Kibangou, “Modéles de volterra à complexité reduite: estimation parametrique et application à l’égalisation des canaux de communication”, Ph.D. thesis, Université de Nice-Sophia Antipolis, France, 2005 (in French).
• [21] ETSI, “Broadband Radio Access Networks (BRAN); HIPERLAN Type 2; Physical Layer”, Dec. 2001.
• [22] ETSI, “Broadband Radio Access Networks (BRAN); High Performance Radio Logical Area Network (HIPERLAN) Type 2; Requirements and architectures for wireless broadband access”, Dec. 1999.
• [23] P. Guguen, “Techniques multi-antennes émission-réception Applications aux réseaux domestiques sans fil”, Ph.D. thesis, Institut National des Sciences Appliquées, Rennes, France, 2003 (in French).
• [24] J.-M. Auffray, “Systemes MIMO a porteuses multiples: Étude et optimisation de la combinaison de codes temps-espace et des techniques MC-CDMA”, Ph.D. thesis, Institut National des Sciences Appliquées, Rennes, France, 2004 (in French).
• [25] V. Le Nir, “Étude et optimisation des systémes multi-antennes associés à des modulations multiporteuses”, Ph.D. thesis, Institut National des Sciences Appliquées de Rennes, France, 2004 (in French).
• [26] J. Antari, A. El Khadimi, D. Mammas, and A. Zeroual, “Developed algorithm for supervising identification of non linear systems using higher order statistics: modeling internet traffic”, Int. J. Future Gener. Commun. Netw., vol. 5, 2012.
• [27] S. Safi and A. Zeroual, “Blind non-minimum phase channel identification using 3rd and 4th order cumulants”, Int. J. Sig. Proces., vol. 4, pp. 158–168, 2007.
• [28] X. D. Zhang and Y. S. Zhang. “Fir system identification using higher order statistics alone”, IEEE Trans. Sig. Proces., vol. 42, no. 10, pp. 2854–2858, 1994.
• [29] D. P. Ruiz, M. C. Carrion, A. Gallego, and J. A. Morent, “Identification of MA processes using cumulants: several sets of linear equations”, IEE Proc.-Vis. Image Sig. Process., vol. 143, no. 2, 1996.