High-SNR Approximate Closed-Form Formulas for the Average Error Probability of M-ary Modulation Schemes Over Nakagami-q Fading Channels

2015 ◽  
pp. 11-22 ◽  
Author(s):  
Hoojin Lee
Keyword(s):  
Closed Form ◽  
Fading Channels ◽  
Error Probability ◽  
Average Error ◽  
Modulation Schemes ◽  
Average Error Probability

Error Probability for Coherent Modulations in Rician Fading Channel

2010 ◽  
pp. 1741-1752
Author(s):  
A. Chandra ◽  
C. Bose
Keyword(s):  
Error Rate ◽  
Fading Channel ◽  
Error Probability ◽  
Error Rates ◽  
Rician Fading ◽  
Average Error ◽  
Valuable Insight ◽  
Rician Fading Channel ◽  
Modulation Schemes ◽  
Error Probabilities

Simple closed-form solutions for the average error rate of several coherent modulation schemes including square M-QAM, DBPSK and QPSK operating over slow flat Rician fading channel are derived. Starting from a novel unified expression of conditional error probability the error rates are analysed using PDF based approach. The derived end expressions composed of infinite series summations of Gauss hypergeometric function are accurate, free from any numerical integration and general enough, as it encompasses as special situations, some cases of non-diversity and Rayleigh fading. Error probabilities are graphically displayed for the modulation schemes for different values of the Rician parameter K. In addition, to examine the dependence of error rate performance of M-QAM on the constellation size, numerical results are plotted for various values of M. The generality of the analytical results presented offers valuable insight into the performance evaluation over a fading channel in a unified manner.

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