UWB System Based on the Modified Gegenbauer Function in MISO Channel

A. Okassa M’foubat, C. Tatkeu, F. Elbahhar

Université Lille Nord de France, Lille, France.

DOI: 10.4236/wet.2013.42018                

Abstract

In this paper, we propose a new multi-user Rake receiver, based on the interference mutualization with a matrix representation for Multiple Input Single Output MISO channel. The proposed system used the Modified Gegenbauer functions in order to generate the signal and to ensure the multi users transmission system. The new proposed receiver allows, using the temporal and special diversity, to avoid the interferences between symbols and to improve the system performances in terms of Bit Error Rate BER and interferences between users with a low algorithm complexity. The proposed solution is based on the classical Rake receiver associated with the equalizer receiver. In order to adapt the Rake approach, in single detection case and in multi users Ultra Wide Band environment, we propose a multi-user Rake receiver using the matrix form. Our proposed system is evaluated in terms of channel effects and multi users’ interferences.

Keywords

UWB; MISO Channel; Rake Receiver; LMMSE; Modified Gegenbauer Function

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	FCC Notice of Proposed Rule Making, “Revision of Part 15 of the Commission’s Rules Regarding Ultra Wideband Transmission System,” ET-Docket 98-153.
[2]	M.-G. Benedetto and B. R. Vojcic, “Ultra Wide Band (UWB) Wireless Communications: A Tutorial,” Journal of Communication and Networks, Special Issue on UltraWideband Communications, Vol. 5, No. 4, 2003, pp. 290-302.
[3]	J. Balakrishnan, A. Batra and A. Dabak, “A Multi-Band OFDM System for UWB Communication,” 2003 IEEE Conference on Ultra Wideband Systems and Technologies, Dallas, 16-19 November 2003, pp. 354-358.
[4]	Yang and G. B. Gianniakis, “Ultra Wideband Communications: An Idea Whose Time Has Come,” IEEE Signal Processing Magazine, Vol. 21, No. 6, 2004, pp. 26-24. doi:10.1109/MSP.2004.1359140
[5]	G. T. F. de Abreu, C. J. Mitchell and R. Kohno, “On the Design of Orthogonal Pulse-Shape Modulation for UWB Systems Using Hermite Pulses,” Journal of Communications and Networks, Vol. 5, No. 4, 2003, pp. 328-343.
[6]	B. M. Lachlan, M. Ghavami and R. Kohno, “Multiple Pulse Generator for Ultra-Wideband Communication Using Hermite Polynomial Based Orthogonal Pulses,” IEEE Conference on Ultra Wideband Systems and Technology, 2002, pp. 47-51.
[7]	C.-Y. Tsai and S.-K. Jeng, “Design of a Legendre-Polynomial-Based Orthogonal Pulse Generator for Ultra-Wideband Communications,” Antennas and Propagation Society International Symposium, Vol. 2B, 2005, pp. 680-683.
[8]	F. Elbahhar, A. Rivenq-Menhaj, J. M. Rouvaen, M. Heddebaut and T. Boukour, “Comparison between DS-CDMA and Modified Gegenbauer Functions for a Multi-User Communication Ultra Wide Band System,” IEEE Proceedings Communications, Vol. 152, 2005, pp. 1021-1028. doi:10.1049/ip-com:20045236
[9]	A. A. Saleh and R. A. Valenzuela, “A Statistical Model for Indoor Multipath Propagation,” IEEE Journal on Selected Areas in Communications, Vol. SAC-5, No. 2, 1987, pp. 128-137. doi:10.1109/JSAC.1987.1146527
[10]	P. Pagani, P. Pajusco and S. Voinot, “A Study of the Ultra-Wideband Indoor Channel: Propagation Experiment and Measurement Results,” COST273 TD(030)060, Barcelona, January 2003.
[11]	J. Zhang, R. A. Kennedy and T. D. Abhayapala, “Conditions and Performance of Ideal RAKE Reception for Ultra-Wideband Signals in Log-Normal Fading Channels,” International Journal of Wireless Information Networks, Vol. 10, No. 4, 2003, pp. 193-200. doi:10.1023/B:IJWI.0000022050.22706.c4
[12]	M. G. Khan, J. Nordberg, A. Mohammed and I. Claesson, “Performance Evaluation of Rake Receiver for UWB Systems Using Measured Channel Industrial Environments,” International Conference on Wireless Broadband on Ultra Wideband Systems, March 2006.
[13]	Z. Xiao, L. Su, D. Jin and L. Zeng, “Performance Comparison of RAKE Receivers in SC-UWB Systems and DS-UWB Systems,” The Institute of Electronics, Information and Communication Engineers (IEICE) Transactions on Communications, Vol. E93-B, No. 4, 2010, pp. 1041-1044.
[14]	A.-J. Liu, W. H. Xing and P. Ma, W.-B. Deng and B. Cao, “Performance of a Low Sampling Rate RAKE UWB Receiver in Multipath Environments,” International Workshop on Intelligent Systems and Applications, 2009.
[15]	S. Verdu, “Multiuser Detection,” Cambridge University Press, Cambridge, 1998.
[16]	Y. Li, A. F. Molisch and J. Zhang, “Channel Estimation and Signal Detection for UWB,” International Symposium on Wireless Personal Multimedia Communications (WPMC), October 2003.
[17]	F. Elbahhar, A. Rivenq-Menhaj and J. M Rouvaen, “MultiUser Ultra Wide Band Communication System Based on Modified Gegenbauer and Hermite Functions,” Wireless Personal Communications (Kluwer), Vol. 34, No. 3, 2005, pp. 255-277. doi:10.1007/s11277-005-3922-2
[18]	A. G. Kleini, D. R. Brown II, D. L. Goeckels and C. R. Johnson, “RAKE Reception for UWB Communication Systems with Intersymbol Interference,” 4th IEEE Workshop on Signal Processing Advances in Wireless Communications, 15-18 June 2003.
[19]	J. G. Proakis, “Digital Communication,” 3rd Edition, MCGraw Hill International Editions, 1996.
[20]	S. M. Kay, “Fundamentals of Statistical Signal Processing: Estimation Theory,” Prentice Hall, Upper Saddle River, 1996.
[21]	J. G. Andrews, “Interference Cancellation for Cellular Systems: A Contemporary Overview,” IEEE Wireless Communications, Vol. 12, No. 2, 2005, pp. 19-29. doi:10.1109/MWC.2005.1421925
[22]	A. Elabed, F. Elbahhar, Y. Elhillali, A. Rivenq and R. Elassali, “UWB Communication System Based on Bipolar PPM with Orthogonal Waveforms,” Wireless Engineering and Technology, Vol. 3, No. 3, 2012, pp. 181188. doi:10.4236/wet.2012.33026
[23]	S. K. Sharma and S. N. Ahmadber, “Performance of SpaceTime Coded MMSE DFE for Wideband Code Division Multiple Access (WCDMA),” International Journal of Communications, Network and System Sciences, Vol. 2, No. 4, 2009, pp. 276-282. doi:10.4236/ijcns.2009.24030
[24]	A. P. Doukeli, A. S. Lioumpas, G. K. Karagiannidis and A. V. Frangos, “Increasing the Efficient of Rake Receivers for Ultra Wide Band Applications,” Wireless Personal Communications, Vol. 62, No. 3, 2012, pp. 715-728. doi:10.1007/s11277-010-0090-9