Chapter 13: Fading Channels

Learning Objectives

• Model the scalar fading channel $Y = HX + Z$ and distinguish CSIR from CSIT
• Derive the ergodic capacity under CSIR only and explain why constant-power transmission is optimal
• Apply water-filling over fading states when full CSI is available at the transmitter
• Define outage probability and $\epsilon$-outage capacity for quasi-static fading
• Compute the MIMO channel capacity via SVD decomposition into parallel sub-channels
• Explain Telatar's result on the linear scaling of ergodic capacity with $\min(n_t, n_r)$ at high SNR
• Quantify how fading hurts capacity relative to AWGN and when diversity mitigates this loss