Performance analysis for MRC and postdetection EGC over generalized gamma fading channels

In this paper, we provide a unified analysis of average symbol error probability (SEP) for a diversity system over generalized gamma fading channels, which is a generalization of Rayleigh, Nakagami, and Ricean fading channels. We consider independent generalized gamma fading on the diversity branches and derive different closed-form expressions of the average SEP for a general class of M-ary modulation schemes (including MPSK, MQAM, BFSK, and MSK) with maximal-ratio combining (MRC) and for M-ary orthogonal FSK with postdetection equal-gain combining (EGC). The results apply to the situations where some branches are Nakagami faded and the others are Ricean faded. Furthermore, the results are applied to obtain closed-form expressions of the average SEP for the cases of arbitrarily correlated and not necessarily identically distributed Nakagami and Ricean faded branches with the help of virtual branch technique by Win et al. Our approach provides a canonical structure for the average SEP as a weighted sum of elementary closed-form expressions, which are the closed-form expressions for the average SEP of a diversity system in independent and identically distributed (i.i.d.) Nakagami fading environments.

[1]  Gordon L. Stüber.  Principles of mobile communication , 1996 .

[2]  Vijay K. Bhargava,et al.  Exact evaluation of maximal-ratio and equal-gain diversity receivers for M-ary QAM on Nakagami fading channels , 1999, IEEE Trans. Commun..

[3]  M. Win,et al.  Exact error probability expressions for MRC in correlated Nakagami channels with unequal fading parameters and branch powers , 1999, Seamless Interconnection for Universal Services. Global Telecommunications Conference. GLOBECOM'99. (Cat. No.99CH37042).

[4]  Valentine A. Aalo,et al.  Performance of RAKE receivers in Nakagami fading channel with arbitrary fading parameters , 1995 .

[5]  Pierfrancesco Lombardo,et al.  Post-detection diversity Nakagami fading channels with correlated branches , 1999, IEEE Communications Letters.

[6]  Moe Z. Win,et al.  Error probability for M-ary modulation in correlated Nakagami channels using maximal ratio combining , 1999, MILCOM 1999. IEEE Military Communications. Conference Proceedings (Cat. No.99CH36341).

[7]  Ranjan K. Mallik,et al.  Error analysis of noncoherent M-ary FSK with postdetection EGC over correlated Nakagami and Rician channels , 2001, ICC 2001. IEEE International Conference on Communications. Conference Record (Cat. No.01CH37240).

[8]  Theodore S. Rappaport,et al.  Wireless communications - principles and practice , 1996 .

[9]  Valentine A. Aalo,et al.  Performance analysis of noncoherent binary DS/CDMA systems in a Nakagami multipath channel with arbitrary parameters , 1996, Proceedings of GLOBECOM'96. 1996 IEEE Global Telecommunications Conference.

[10]  Pierfrancesco Lombardo,et al.  MRC performance for binary signals in Nakagami fading with general branch correlation , 1999, IEEE Trans. Commun..

[11]  M. Abramowitz,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[12]  W. C. Jakes,et al.  Microwave Mobile Communications , 1974 .

[13]  Valentine A. Aalo,et al.  Performance analysis of coherent DS-CDMA systems in a Nakagami fading channel with arbitrary parameters , 1997 .

[14]  Keith Q. T. Zhang.  Exact analysis of postdetection combining for DPSK and NFSK systems over arbitrarily correlated Nakagami channels , 1998, IEEE Trans. Commun..

[15]  Moe Z. Win,et al.  MRC performance for M-ary modulation in arbitrarily correlated Nakagami fading channels , 2000, IEEE Communications Letters.

[16]  Moe Z. Win,et al.  On maximal ratio combining in correlated Nakagami channels with unequal fading parameters and SNRs among branches: an analytical framework , 1999, WCNC. 1999 IEEE Wireless Communications and Networking Conference (Cat. No.99TH8466).

[17]  Valentine A. Aalo,et al.  Performance of maximal-ratio diversity systems in a correlated Nakagami-fading environment , 1995, IEEE Trans. Commun..

[18]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[19]  Jay Cheng,et al.  Capacity of a class of fading channels with channel state information (CSI) feedback , 2001 .

[20]  Q. T. Zhang.  Maximal-ratio combining over Nakagami fading channels with an arbitrary branch covariance matrix , 1999 .

[21]  Laurence B. Milstein,et al.  Coherent DS-CDMA performance in Nakagami multipath fading , 1995, IEEE Trans. Commun..

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

[23]  Ranjan K. Mallik,et al.  Canonical expressions for the error probability performance of M-ary modulation with hybrid selection/maximal-ratio combining in Rayleigh fading , 1999, WCNC. 1999 IEEE Wireless Communications and Networking Conference (Cat. No.99TH8466).

[24]  D. Owen.  Handbook of Mathematical Functions with Formulas , 1965 .

[25]  Ranjan K. Mallik,et al.  Error analysis of noncoherent M-ary FSK with postdetection EGC over correlated Nakagami and Rician channels , 2002, IEEE Trans. Commun..

[26]  Ali Abdi,et al.  Sum of gamma variates and performance of wireless communication systems over Nakagami-fading channels , 2001, IEEE Trans. Veh. Technol..

[27]  Ranjan K. Mallik,et al.  Error probability of binary NFSK and DPSK with postdetection combining over correlated Rician channels , 2000, IEEE Trans. Commun..