On robustness of physical layer network coding to pollution attack

EURASIP Journal on Wireless Communications and Networking

Table 1 Probability of error for transmitted symbol pair (0,1) with the wrong estimated symbol pairs (σ ²=1)

Type	\((\hat S_{1},\hat S_{2})\)	\(P_{1}=Q(2/\sqrt {2})\)	\(P_{2}=Q(\sqrt {2/2})\)	P _e	Correct/erroneous XOR Decoding
Desired incorrect pairs	(1, 0)	0.0786	0.1587	P ₂×P ₂=0.0252	Correct
	(2, 3)	0.0786	0.1587	P ₂×P ₂=0.0252	Correct
	(3, 2)	0.0786	0.1587	P ₁×P ₁=0.0062	Correct
Undesired incorrect Pairs	(2, 2)	0.0786	0.1587	P ₂×P ₁=0.0125	Erroneous
	(3, 3)	0.0786	0.1587	P ₁×P ₂=0.0125	Erroneous
	(1, 2)	0.0786	0.1587	P ₂×P ₁=0.0125	Erroneous
	(1, 3)	0.0786	0.1587	P ₂×P ₂=0.0252	Erroneous
	(3, 0)	0.0786	0.1587	P ₁×P ₂=0.0125	Erroneous
	(2, 0)	0.0786	0.1587	P ₂×P ₂=0.0252	Erroneous