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Display probability of symbol errors for MQAM on Rician fading channel based on MGF method

Jovanovic Predrag (Institute for Telecommunications and Electronics, IRITEL A.D. Belgrade)
Mitic Dragan (Institute for Telecommunications and Electronics, IRITEL A.D. Belgrade)
Lebl Aleksandar (Institute for Telecommunications and Electronics, IRITEL A.D. Belgrade)
Rajkovic Radoslav (Faculty of Mechanical Engineering, Innovation center, Belgrade)

In this paper, we present a method to calculate the probability of error per symbol (Symbol Error Probability, SEP) of M-ary Quadrature Amplitude Modulation (MQAM) over a slow, flat, identically independently distributed Rician fading channels. Since the fading is one of the major constraints in wireless communications, then diversity modulation technique is used for the efficient transfer of message signals. Exact analysis of error probability per symbol for MQAM, transmitted over Rician fading channels, is performed by N branches of diversity reception using maximum ratio of signal-to-noise power (maximal-ratio-combining, MRC), where the information in the channel on the receiver side is known. The performances of MQAM over Rician fading channels are here also analyzed. Approximate formula is used to represent SEP for MQAM transmitted over Gaussian channels. Boundary condition for the approximation is M≥4 and 0≤SNR≤30 dB.

Keywords: MQAM (M-ary Quadrature Amplitude Modulation), MRC (Maximal RatioCombining), MGF (Moment Generating Function), SEP (Symbol Error Probability)