SER/BER expression for M-QAM OFDM systems with imperfect channel estimation and I/Q imbalance

EURASIP Journal on Wireless Communications and Networking

Table 1 μ ₀ , μ ₁ , and μ ₂ with F ₁ = | G ₁ | ² + K | G ₂ | ² and F ₂ = | G ₂ | ² + K | G ₁ | ² for three estimation and equalization processes

	μ ₀	μ ₁	μ ₂
No IQ-compensation	$1 + K F 1 (\| G 1 \| 2 + \| G 2 \| 2 + N p σ h 2 + 2 ℜ {G 1 G 2}) E s F 1 + (1 + K) G 1 G 2 2 − 1 E s$	$F 2 1 + μ 0 E s E s F 1$	$1 + K 1 + μ 0 E s γ F 1 σ h 2$
IQ comp: channel estimation	$N p (1 + K) 2 F 1 σ h 2 E s$	$F 2 1 + μ 0 E s F 1 E s$	$1 + K 1 + μ 0 E s γ F 1 σ h 2$
IQ comp: chan. est. & equalization	$N p (1 + K) 2 F 1 σ h 2 E s$	$μ 0 (1 + μ 0 E s) 1 + μ 0 E s F 1 F 2$	$1 + K 1 + μ 0 E s γ F 1 σ h 2$