Error probability for M-ary modulation in correlated Nakagami channels using maximal ratio combining

We derive the symbol error probability for coherent detection of several types of M-ary modulation schemes using maximal ratio combining with an arbitrary number of diversity branches. We consider correlated Nakagami fading channels, where the instantaneous signal-to-noise ratios of the diversity branches are not necessarily independent or identically distributed. The proposed problem is made analytically tractable by transforming the correlated physical diversity branches into independent "virtual branches".

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

[2]  Peter J. McLane,et al.  Bit-error-probability for noncoherent orthogonal signals in fading with optimum combining for correlated branch diversity , 1997, IEEE Trans. Inf. Theory.

[3]  J. G. Gander,et al.  An introduction to signal detection and estimation , 1990 .

[4]  Dariush Divsalar,et al.  Some new twists to problems involving the Gaussian probability integral , 1998, IEEE Trans. Commun..

[5]  W. R. Braun,et al.  A physical mobile radio channel model , 1991, [1991 Proceedings] 41st IEEE Vehicular Technology Conference.

[6]  W. R. Braun,et al.  A physical mobile radio channel model , 1991 .

[7]  Norman C. Beaulieu,et al.  Outage probabilities of cellular mobile radio systems with multiple Nakagami interferers , 1991 .

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

[9]  Hirofumi Suzwi,et al.  A Statistical Model for Urban Radio Propagation , 1977 .

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

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

[12]  Calyampudi R. Rao,et al.  Linear statistical inference and its applications , 1965 .

[13]  M. V. Clark,et al.  Matched filter performance bounds for diversity combining receivers in digital mobile radio , 1992 .

[14]  Q. T. Zhang,et al.  Outage probability in cellular mobile radio due to Nakagami signal and interferers with arbitrary parameters , 1996 .

[15]  A. Goldsmith,et al.  A unified approach for calculating error rates of linearly modulated signals over generalized fading channels , 1998, ICC '98. 1998 IEEE International Conference on Communications. Conference Record. Affiliated with SUPERCOMM'98 (Cat. No.98CH36220).

[16]  Emad K. Al-Hussaini,et al.  Performance of MRC Diversity Systems for the Detection of Signals with Nakagami Fading , 1985, IEEE Trans. Commun..

[17]  Paul J. Crepeau,et al.  Uncoded and coded performance of MFSK and DPSK in Nakagami fading channels , 1992, IEEE Trans. Commun..

[18]  Calyampudi R. Rao,et al.  Linear Statistical Inference and Its Applications. , 1975 .

[19]  Yoshiya Miyagaki,et al.  Error Probability Characteristics for CPSK Signal Through m-Distributed Fading Channel , 1978, IEEE Trans. Commun..

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

[21]  Andrzej H. Wojnar,et al.  Unknown Bounds on Performance in Nakagami Channels , 1986, IEEE Trans. Commun..

[22]  H. Vincent Poor,et al.  An Introduction to Signal Detection and Estimation , 1994, Springer Texts in Electrical Engineering.

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

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

[25]  T. Aulin,et al.  Characteristics of a digital mobile radio channel , 1981, IEEE Transactions on Vehicular Technology.