Performance of coherent square M-QAM with L/sup th/ order diversity in Nakagami-m fading environment

The symbol error rate (SER) performance of coherent square M-ary quadrature amplitude modulation (M-QAM) with L/sup th/ order diversity frequency non-selective slowly Nakagami-m (1960) fading environment corrupted by additive white Gaussian noise (AWGN) is presented. The diversity combining technique considered in this paper is maximal ratio combining (MRC) with identical channels. The derived expression for SER is in terms of a single finite integral with an integrand composed of elementary (trigonometric) functions. Because of its simple form, the expression readily allows numerical evaluation for cases of practical interests. The solution presented in this paper is general enough so that it includes half Gaussian fading (m=0.5), Rayleigh fading (m=1), and nonfading (m=/spl infin/) as special cases. The results are plotted as SER versus signal to noise ratio (SNR) for various values of m and L to examine the dependence of the performance of MQAM on m and L. The results presented are expected to provide useful information needed for exploiting the use of diversity for design of better communication systems in Nakagami-m fading environment.

[1]  S.H. Van Wambeck,et al.  Performance of Diversity Receiving Systems , 1951, Proceedings of the IRE.

[2]  E. Fremouw,et al.  Worldwide Behavior of Average VHF-UHF Scintillation , 1971 .

[3]  Jules Aarons,et al.  Estimation of the Cumulative Amplitude Probability Distribution Function of Ionospheric Scintillations , 1972 .

[4]  George L. Turin,et al.  Simulation of urban vehicle-monitoring systems , 1972 .

[5]  H. Suzuki,et al.  A Statistical Model for Urban Radio Propogation , 1977, IEEE Trans. Commun..

[6]  E. Fremouw,et al.  On the statistics of scintillating signals , 1980 .

[7]  John G. Proakis,et al.  Digital Communications , 1983 .

[8]  Emanoel Costa,et al.  250 MHz/GHz Scintillation Parameters in the Equatorial, Polar, and Auroral Environments , 1986, IEEE J. Sel. Areas Commun..

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

[10]  Laurence B. Milstein,et al.  Comparison of diversity combining techniques for Rayleigh-fading channels , 1996, IEEE Trans. Commun..

[11]  Giuseppe Caire,et al.  Impact of diversity reception on fading channels with coded modulation. I. Coherent detection , 1997, IEEE Trans. Commun..

[12]  Giuseppe Caire,et al.  Impact of diversity reception on fading channels with coded modulation. II. Differential block detection , 1997, IEEE Trans. Commun..

[13]  Irving S. Reed,et al.  Performance of MDPSK, MPSK, and noncoherent MFSK in wireless Rician fading channels , 1999, IEEE Trans. Commun..

[14]  Mohamed-Slim Alouini,et al.  A unified performance analysis of digital communication with dual selective combining diversity over correlated Rayleigh and Nakagami-m fading channels , 1999, IEEE Trans. Commun..