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	$\frac{(1 + K) F_{1} (\| G_{1} \|^{2} + \| G_{2} \|^{2} + \frac{N_{p}}{σ_{h}^{2}} + 2 ℜ {G_{1} G_{2}})}{E_{s} {\|F_{1} + (1 + K) G_{1} G_{2}\|}^{2}} - \frac{1}{E_{s}}$	$\frac{F_{2} (1 + μ_{0} E_{s})}{E_{s} F_{1}}$	$\frac{(1 + K) (1 + μ_{0} E_{s})}{γ F_{1} σ_{h}^{2}}$
IQ comp: channel estimation	$\frac{N_{p} (1 + K)}{2 F_{1} σ_{h}^{2} E_{s}}$	$\frac{F_{2} (1 + μ_{0} E_{s})}{F_{1} E_{s}}$	$\frac{(1 + K) (1 + μ_{0} E_{s})}{γ F_{1} σ_{h}^{2}}$
IQ comp: chan. est. & equalization	$\frac{N_{p} (1 + K)}{2 F_{1} σ_{h}^{2} E_{s}}$	$\frac{μ_{0} (1 + μ_{0} E_{s})}{1 + μ_{0} E_{s} \frac{F_{1}}{F_{2}}}$	$\frac{(1 + K) (1 + μ_{0} E_{s})}{γ F_{1} σ_{h}^{2}}$