Symbol Error Rate of Selection Amplify-and ... - Semantic Scholar

Symbol Error Rate of Selection Amplify-andForward Relay Systems By: Yi Zhao, Raviraj Adve and Teng Joon Lim Presentation by: Amir Minayi Jalil

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SYSTEM MODEL

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pe = E{Q ( cγ r )} = E{∫

∞ cγ r

t2 1 exp(− )dt} = E{ X > cγ r } 2 2π

Where : X ~. N (0,1) X2 = E{γ r < }, X > 0 c X2 = E{Fγ r ( )} c

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A. SER of S-AF Systems

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B. SER Improvement: S-AF vs. AP-AF






To ensure a fair comparison, unit transmit energy and equal power division among cooperating nodes are assumed for both systems. AP-AF: Es = Ei = 1/(m + 1) S-AF: Es = Ei = 1/2

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Example : FV (v) = Fx1 (v) Fx2 (v) ∂FV (v) = f x1 (v) Fx2 (v) + Fx1 (v) f x2 (v) ∂v ∂f x2 (v) ∂ 2 FV (v) ∂f x1 (v) ⇒ = Fx2 (v) + 2 f x1 (v) f x2 (v) + Fx1 (v) 2 ∂v ∂v ∂v ⇒

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So an upper bound can be introduced as

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Since α0 is exponentially distributed variable with parameter λ0, we have:

x’ = 1 − x/δ

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We know: λ0, λi and ξi the exponential distribution parameters of the Rayleigh channel amplitude squares α0, αi and βi

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