Performance analysis of generalized QAM modulation under η−μ and κ−μ fading

• Published in: EURASIP journal on advances in signal processing Vol. 2013; no. 1; pp. 1 - 10
• Main Authors: Queiroz, Wamberto J. L., Madeiro, Francisco, Lopes, Waslon T. A., Alencar, Marcelo S.
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 14-05-2013
• Subjects: Engineering; Exact solutions; Fading; Gaussian distribution; Mathematical analysis; Mathematical models; Modulation; Quantum Information Technology; Receivers; Signal to noise ratio; Signal,Image and Speech Processing; Spintronics; Diversity Order; Moment Generate Function; Maximum Ratio Combine; Quadrature Amplitude Modulation; Symbol Error Probability
• ISSN: 1687-6180; 1687-6180
• DOI: 10.1186/1687-6180-2013-104

This paper presents new closed-form expressions for the symbol error probability (SEP) of
θ
-QAM modulation with maximum ratio combining (MRC) receiver under
η
−
μ
and
κ
−
μ
fading. The SEP formulae, obtained from the definite integrals of the moment generating function (MGF) of the signal-to-noise ratio (SNR) at the input of the MRC receiver, are written in terms of Lauricella functions. The numerical evaluation of the expressions is carried out for the
η
−
μ
distribution, which includes important distributions as special cases, such as Hoyt, Nakagami-
m
, Rayleigh, and one-sided Gaussian, as well as for the
κ
−
μ
distribution, which includes Rice, Nakagami-
m
, Rayleigh, and one-sided Gaussian as special cases.