Performance of the modulation diversity technique for κ-μ fading channels

EURASIP Journal on Wireless Communications and Networking

Table 1 Average execution time for 900 calculations of the union bound considering the proposed PEP approximations

Constellation	Fading	PEP expression	Exec. time (sec.)
QPSK	Severe	Upper bound	0.020
		Chernoff	0.022
		Exact	0.922
		Series	148.490
		Lower bound A	1.064
		Lower bound B	0.023
	Typical	Upper bound	0.026
		Chernoff	0.019
		Exact	1.701
		Series	168.540
		Lower bound A	1.985
		Lower bound B	0.031
16-QAM	Severe	Upper bound	0.170
		Chernoff	0.124
		Exact	17.924
		Series	2956.030
		Lower bound A	20.827
		Lower bound B	0.167
	Typical	Upper bound	0.172
		Chernoff	0.126
		Exact	30.335
		Series	3226.570
		Lower bound A	34.965
		Lower bound B	0.187

Table 1 presents the average execution time for 900 calculations of the union bound considering the proposed PEP approximations and simulations. Two fading scenarios were used in the evaluation: (a) severe fading (κ=0.1, μ=0.25) and (b) typical fading (κ=1.5, μ=1.75).