BER analysis of arbitrary QAM for MRC diversity with imperfect channel estimation in generalized ricean fading channels

Imperfect channel estimation (ICE) can severely degrade the bit error rate (BER) of digital modulations with maximum ratio combining (MRC) diversity reception. The resulting performance analysis problem in its most general setting has not been addressed before. In this paper, the effect of ICE on the BER of an arbitrary square/rectangular Gray-coded quadratic amplitude modulation (QAM) in generalized Ricean fading channels when MRC reception is employed is analyzed. A general expression for the bit error probability of an arbitrary square/rectangular QAM scheme is first derived. This general formula requires a number of conditional probabilities, which is derived in closed form for independent and nonidentically distributed (i.n.d.) Rayleigh-fading channels with MRC and ICE. An efficient numerical method is also presented to compute the conditional probabilities for i.n.d. and correlated Ricean fading. In addition, extensive Monte Carlo simulations that agree excellently with the analytical results are presented

[1]  Lie-Liang Yang,et al.  A recursive algorithm for the error probability evaluation of M-QAM , 2000, IEEE Communications Letters.

[2]  Chang-Joo Kim,et al.  New Rayleigh fading channel estimator based on PSAM channel sounding technique , 1997, Proceedings of ICC'97 - International Conference on Communications.

[3]  Robert Schober,et al.  Effect of imperfect channel estimation on MRC diversity in fading channels , 2004, 2004 IEEE International Conference on Communications (IEEE Cat. No.04CH37577).

[4]  Lajos Hanzo,et al.  Single- and Multi-carrier Quadrature Amplitude Modulation : Principles and Applications for Personal Communications, WLANs and Broadcasting , 2000 .

[5]  R. W. Farebrother.  Computing the Distribution of a Quadratic Form in Normal Variables , 2002 .

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

[7]  Michael P. Fitz,et al.  On the bit error probability of QAM modulation , 1994, Int. J. Wirel. Inf. Networks.

[8]  J. Cavers.  An analysis of pilot symbol assisted modulation for Rayleigh fading channels (mobile radio) , 1991 .

[9]  Michael Mao Wang,et al.  Soft decision metric generation for QAM with channel estimation error , 2002, IEEE Trans. Commun..

[10]  Weimin Xiao.  Optimal detection of M-QAM signal with channel estimation error , 2003, IEEE International Conference on Communications, 2003. ICC '03..

[11]  John M. Cioffi,et al.  Probability density functions for analyzing multi-amplitude constellations in Rayleigh and Ricean channels , 1999, IEEE Trans. Commun..

[12]  Jianhua Lu,et al.  M-PSK and M-QAM BER computation using signal-space concepts , 1999, IEEE Trans. Commun..

[13]  Mohamed-Slim Alouini,et al.  Effect of channel estimation error on M-QAM BER performance in Rayleigh fading , 1999, IEEE Trans. Commun..

[14]  Robert Schober,et al.  Performance of M-PSK with GSC and EGC with Gaussian weighting errors , 2005, IEEE Transactions on Vehicular Technology.

[15]  Norman C. Beaulieu,et al.  Closed-form BER results for MRC diversity with channel estimation errors in Ricean fading channels , 2005, IEEE Transactions on Wireless Communications.

[16]  J. Imhof.  Computing the distribution of quadratic forms in normal variables , 1961 .

[17]  Chintha Tellambura,et al.  Exact BER analysis of an arbitrary square/rectangular QAM for MRC diversity with ICE in nonidentical Rayleigh fading channels , 2005, IEEE International Conference on Communications, 2005. ICC 2005. 2005.

[18]  A. M. Mathai,et al.  Quadratic forms in random variables : theory and applications , 1992 .

[19]  Norman C. Beaulieu,et al.  Exact error-rate analysis of diversity 16-QAM with channel estimation error , 2004, IEEE Transactions on Communications.

[20]  Dongweon Yoon,et al.  On the general BER expression of one- and two-dimensional amplitude modulations , 2002, IEEE Trans. Commun..

[21]  M. Schwartz,et al.  Communication Systems and Techniques , 1996, IEEE Communications Magazine.