We analyze the exact average symbol error probability (SEP) of binary and -ary signals with spatial diversity in Nakagami- (Hoyt) fading channels. The maximal-ratio combining and orthogonal space-time block coding are considered as diversity techniques for single-input multiple-output and multiple-input multiple-output systems, respectively. We obtain the average SEP in terms of the Lauricella multivariate hypergeometric function . The analysis is verified by comparing with Monte Carlo simulations and we further show that our general SEP expressions particularize to the previously known results for Rayleigh ( = 1) and single-input single-output (SISO) Nakagami- cases.
References
-
MK Simon, M-S Alouini, A unified approach to the performance analysis of digital communication over generalized fading channels. Proceedings of the IEEE 86(9), 1860–1877 (1998). Publisher Full Text
-
MK Simon, M-S Alouini, Digital Communication over Fading Channels: A Unified Approach to Performance Analysis (Wiley-Interscience, New York, NY, USA, 2000)
-
A Annamalai, C Tellambura, Error rates for Nakagami- fading multichannel reception of binary and -ary signals. IEEE Transactions on Communications 49(1), 58–68 (2001). Publisher Full Text
-
H Shin, JH Lee, On the error probability of binary and -ary signals in Nakagami- fading channels. IEEE Transactions on Communications 52(4), 536–539 (2004). Publisher Full Text
-
GP Efthymogloua, T Piboongungon, VA Aalo, Error rates of -ary signals with multichannel reception in Nakagami- fading channels. IEEE Communications Letters 10(2), 100–102 (2006). Publisher Full Text
-
VA Aalo, T Piboongungon, GP Efthymoglou, Another look at the performance of MRC schemes in Nakagami- fading channels with arbitrary parameters. IEEE Transactions on Communications 53(12), 2002–2005 (2005). Publisher Full Text
-
J Lu, TT Tjhung, CC Chai, Error probability performance of -branch diversity reception of MQAM in Rayleigh fading. IEEE Transactions on Communications 46(2), 179–181 (1998). Publisher Full Text
-
C Tellambura, AJ Mueller, VK Bhargava, Analysis of -ary phase-shift keying with diversity reception for land-mobile satellite channels. IEEE Transactions on Vehicular Technology 46(4), 910–922 (1997). Publisher Full Text
-
N Ekanayake, Performance of -ary PSK signals in slow Rayleigh fading channels. Electronics Letters 26(10), 618–619 (1990). Publisher Full Text
-
H Shin, JH Lee, Performance analysis of space—time block codes over keyhole Nakagami- fading chanels. IEEE Transactions on Vehicular Technology 53(2), 351–362 (2004). Publisher Full Text
-
H Shin, JH Lee, Effect of keyholes on the symbol error rate of space—time block codes. IEEE Communications Letters 7(1), 27–29 (2003). Publisher Full Text
-
H Shin, MZ Win, MIMO diversity in the presence of double scattering (to appear in IEEE Transactions on Information Theory, http://arxiv), . org/abs/cs.IT/0511028 webcite
-
SM Alamouti, A simple transmit diversity technique for wireless communications. IEEE Journal on Selected Areas in Communications 16(8), 1451–1458 (1998). Publisher Full Text
-
V Tarokh, H Jafarkhani, AR Calderbank, Space—time block codes from orthogonal designs. IEEE Transactions on Information Theory 45(5), 1456–1467 (1999). Publisher Full Text
-
DA Zogas, GK Karagiannidis, SA Kotsopoulos, Equal gain combining over Nakagami- (Rice) and Nakagami- (Hoyt) generalzied fading channels. IEEE Transactions on Wireless Communications 4(2), 374–379 (2005)
-
G Fraidenraich, JCSS Filho, MD Yacoub, Second-order statistics of maximal-ratio and equal-gain combining in Hoyt fading. IEEE Communications Letters 9(1), 19–21 (2005)
-
N Youssef, C-X Wang, M Pätzold, A study on the second order statistics of Nakagami-Hoyt mobile fading channels. IEEE Transactions on Vehicular Technology 54(4), 1259–1265 (2005). Publisher Full Text
-
RM Radaydeh, Average error performance of -ary modulation schemes in Nakagami- (Hoyt) fading channels. IEEE Communications Letters 11(3), 255–257 (2007)
-
H Exton, Multiple Hypergeometric Functions and Applications (John Wiley & Sons, New York, NY, USA, 1976)
-
A Erdelyi, Higher Transcendental Functions (McGraw-Hill, New York, NY, USA, 1953) 1
-
O Tirkkonen, A Hottinen, Square-matrix embeddable space-time block codes for complex signal constellations. IEEE Transactions on Information Theory 48(2), 384–395 (2002). Publisher Full Text
-
G Fraidenraich, MD Yacoub, The - general fading distribution. Proceedings of the SBMO/IEEE MTT-S International Microwave and Optoelectronics Conference (IMOC '03), September 2003, Foz do Iguacu, Brazil 1, 49–54