volume | PIER Journals

Abstract

In most existing transmitted-reference ultra-wideband (TR-UWB) communication systems, receivers use the standard Gaussian approximation (SGA) for multiuser interference (MUI). It is an assumption used in most conventional multiuser systems, where the MUI tends to a Gaussian process by the central limit theorem, and convergence is relatively fast with respect to the number of users. However, for TR-UWB systems which are developed for short-range applications, we have a small number of active users. In this case, significant performance degradation is found in TR-UWB receivers due to the impreciseness of SGA. In this paper, we show that the Middleton class-A model is a more appropriate statistical model for MUI modeling in TR-UWB systems than the often used SGA. A closed-form expression for the probability density function (PDF) of the TR-UWB system under MUI, Gaussian noise and impulsive alpha-stable interference is developed. All these analytical results are confirmed by numerical simulations.

1. Report and order in the commission's rules regarding ultra-wideband transmission systems Federal Communications Commission, Apr. 2002. Google Scholar

2. Fan, Z. G., L. X. Ran, and J. A. Kong, "Source pulse optimizations for UWB radio systems," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 11, 1535-1550, 2006.
doi:10.1163/156939306779274309 Google Scholar

3. Win, , M. Z. and R. A. Scholtz, "On the energy capture of ultrawide bandwidth signals in dense multipath environments," IEEE J. Sel. Areas Commun., Vol. 2, No. 2, 245-247, Sep. 1998. Google Scholar

4. Liu, X., B.-Z. Wang, S. Xiao, and J. Deng, "Performance of impulse radio UWB communications based on time reversal technique," Progress In Electromagnetics Research, Vol. 79, 401-413, 2008.
doi:10.2528/PIER07102205 Google Scholar

5. Xiao, S. Q., J. Chen, B.-Z. Wang, and X. F. Liu, "A numerical study on time-reversal electromagnetic wave for indoor ultrawideband signal transmission," Progress In Electromagnetics Research, Vol. 77, 329-342, 2007.
doi:10.2528/PIER07082501 Google Scholar

6. Hoctor, R. T. and H. W. Tomlinson, "An overview of delay-hopped transmitted-reference RF communications,", Technique Information Series: G.E. Research and Development Center, Jan. 2002. Google Scholar

7. Xu, Z. and B. M. Sadler, "Multiuser transmitted reference ultra-wideband communication systems," IEEE J. Sel. Areas Commun., Vol. 24, No. 4, 766-772, Apr. 2006.
doi:10.1109/JSAC.2005.863826 Google Scholar

8. Jia, T. and D. I. Kim, "Multiple access performance of balanced UWB transmitted-reference systems in multipath," IEEE Trans. Wireless Commun., Vol. 7, No. 3, 1084-1094, Mar. 2008.
doi:10.1109/TWC.2008.060864 Google Scholar

9. D'Amico, A. and U. Mengali, "Code-multiplexed transmitted-reference UWB systems in a multi-user environment," IEEE Trans. Commun., Vol. 58, No. 3, 966-974, Mar. 2010.
doi:10.1109/TCOMM.2010.03.080258 Google Scholar

10. Forouzan, A. R., M. N. Kenari, and J. A. Salehi, "Performance analysis of time-hopping spread-spectrum multiple-access systems: Uncoded and coded schemes," IEEE Trans. Wireless Commun., Vol. 1, No. 4, 671-681, Oct. 2002.
doi:10.1109/TWC.2002.804186 Google Scholar

11. Salehi, J. A. and C. A. Brackett, "Code division multiple-access techniques in optical fiber networks. Part II: Systems performance analysis," IEEE Trans. Commun., Vol. 37, No. 8, 834-841, Aug. 1989.
doi:10.1109/26.31182 Google Scholar

12. NIST/SEMATECH "6.3.3.1. counts control charts," NIST/SEMATECH E-Handbook of Statistical Methods, http://www.itl.nist.gov/div898/handbook/. Google Scholar

13. Middleton, D., "Statistical models of electromagnetic interference," IEEE Trans. Electromagn. Compat., Vol. 19, No. 3, 106-127, Aug. 1977.
doi:10.1109/TEMC.1977.303527 Google Scholar

14. Li, X. T., J. Sun, L. W. Jin, and M. Liu, "Bi-parameter CGM model for approximation of α-stable PDF," Electronics Letters, Vol. 44, No. 18, 1096-1097, Aug. 2008.
doi:10.1049/el:20080955 Google Scholar

15. Di Renzo, M., L. A. Annoni, F. Graziosi, and F. Santucci, "A novel class of algorithms for timing acquisition of differential transmitted-reference UWB receivers: Architecture, performance analysis and system design," IEEE Trans. Wireless Commun., Vol. 7, No. 6, 2368-2387, Jun. 2008.
doi:10.1109/TWC.2008.070097 Google Scholar

16. Cover, T. M. and J. A. Thomas, Elements of Information Theory, Wiley, NY, 1991.
doi:10.1002/0471200611

17. Middleton, D., "Non-Gaussian noise models in signal processing for telecommunications: New methods and results for class A and class B noise models," IEEE Trans. on Information Theory, Vol. 45, No. 4, 1129-1149, May 1999.
doi:10.1109/18.761256 Google Scholar

Dr. Djamel Abed

Dr. Salah Redadaa

Dr. Smail Tedjini