Performance analysis of M-ary PPM TH-UWB systems in the presence of MUI and timing jitter

The symbol error probability (SEP) performance of time-hopping (TH) ultra-wideband (UWB) systems in the presence of multiuser interference (MUI) and timing jitter is considered without making the usual Gaussian approximation (GA). Contrary to previous studies restricted to binary modulation formats, we analyze and evaluate the performance of such multiuser TH-UWB systems employing M-ary pulse position modulation (PPM) and a correlation receiver. Using the Gaussian quadrature rules (GQR) method and by considering the correlator outputs to be statistically independent, a semi-analytical method for the SEP evaluation is proposed. Furthermore, by modeling the timing jitter as a Gaussian process, we study the degradation it causes on the overall system performance (SEP and capacity). The accuracy of the proposed approach has been verified by means of computer simulations. Furthermore, a comparison with equivalent performance results obtained using the GA has provided precise conditions where this approximation should not be used.

[1]  Masoumeh Nasiri-Kenari,et al.  Performance analysis of ultrawideband time-hopping code division multiple access systems: uncoded and coded schemes , 2001, ICC 2001. IEEE International Conference on Communications. Conference Record (Cat. No.01CH37240).

[2]  G. Durisi,et al.  On the validity of Gaussian approximation to characterize the multiuser capacity of UWB TH PPM , 2002, 2002 IEEE Conference on Ultra Wideband Systems and Technologies (IEEE Cat. No.02EX580).

[3]  W. Gautschi.  Orthogonal Polynomials and Quadrature * , 1999 .

[4]  Vladimir S. Chelyshkov,et al.  Alternative orthogonal polynomials and quadratures. , 2006 .

[5]  V. Srinivasa Somayazulu,et al.  Ultrawideband radio design: the promise of high-speed, short-range wireless connectivity , 2004, Proceedings of the IEEE.

[6]  J. Keith Townsend,et al.  The effects of timing jitter and tracking on the performance of impulse radio , 2002, IEEE J. Sel. Areas Commun..

[7]  J.E. Mazo,et al.  Digital communications , 1985, Proceedings of the IEEE.

[8]  I. Guvenc,et al.  Performance evaluation of UWB systems in the presence of timing jitter , 2003, IEEE Conference on Ultra Wideband Systems and Technologies, 2003.

[9]  Tzi-Dar Chiueh,et al.  Performance analysis of impulse radio under timing jitter using M-ary bipolar pulse waveform and position modulation , 2003, IEEE Conference on Ultra Wideband Systems and Technologies, 2003.

[10]  Sergio Benedetto,et al.  A general method for error probability computation of UWB systems for indoor multiuser communications , 2003, Journal of Communications and Networks.

[11]  Fernando Ramírez-Mireles,et al.  Performance of ultrawideband SSMA using time hopping and M-ary PPM , 2001, IEEE J. Sel. Areas Commun..

[12]  Li Zhao,et al.  Multi-user capacity of M-ary PPM ultra-wideband communications , 2002, 2002 IEEE Conference on Ultra Wideband Systems and Technologies (IEEE Cat. No.02EX580).

[13]  Moe Z. Win,et al.  A unified spectral analysis of generalized time-hopping spread-spectrum signals in the presence of timing jitter , 2002, IEEE J. Sel. Areas Commun..

[14]  F. Ramirez-Mireles,et al.  Multiple-access performance limits with time hopping and pulse position modulation , 1998, IEEE Military Communications Conference. Proceedings. MILCOM 98 (Cat. No.98CH36201).

[15]  Moe Z. Win,et al.  Impulse radio: how it works , 1998, IEEE Communications Letters.

[16]  Robert A. Scholtz,et al.  Multiple access with time-hopping impulse modulation , 1993, Proceedings of MILCOM '93 - IEEE Military Communications Conference.

[17]  Sergio Benedetto,et al.  Performance evaluation of TH-PPM UWB systems in the presence of multiuser interference , 2003, IEEE Communications Letters.

[18]  H. Vincent Poor,et al.  The trade-off between processing gains of impulse radio systems in the presence of timing jitter , 2004, 2004 IEEE International Conference on Communications (IEEE Cat. No.04CH37577).

[19]  Moe Z. Win,et al.  Ultra-wide bandwidth time-hopping spread-spectrum impulse radio for wireless multiple-access communications , 2000, IEEE Trans. Commun..

[20]  Gene H. Golub,et al.  Calculation of Gauss quadrature rules , 1967, Milestones in Matrix Computation.

[21]  Bo Hu,et al.  Exact bit error rate analysis of TH-PPM UWB systems in the presence of multiple-access interference , 2003, IEEE Communications Letters.

[22]  C.C. Ko,et al.  BER performance of pulsed UWB system in the presence of colored timing jitter , 2004, 2004 International Workshop on Ultra Wideband Systems Joint with Conference on Ultra Wideband Systems and Technologies. Joint UWBST & IWUWBS 2004 (IEEE Cat. No.04EX812).

[23]  Walter Gautschi,et al.  Orthogonal Polynomials, Quadrature, and Approximation: Computational Methods and Software (in Matlab) , 2006 .