Part 2: Multi-User MIMO: Precoding and Detection
Chapter 6: Linear Precoding
Advanced~210 min
Learning Objectives
- Derive the MRT precoding vector and prove it maximises received SNR for a single user
- Construct the ZF precoding matrix and quantify its noise amplification penalty
- Formulate RZF/MMSE precoding and derive the optimal regularization parameter
- Analyse SINR expressions and sum-rate scaling for MRT, ZF, and RZF precoding
- Explain per-antenna power constraints and their impact on practical precoder design
- Relate linear precoding performance to the MIMO broadcast channel capacity achieved by DPC
Sections
Prerequisites
MIMO channel model, SVD decomposition (MIMO Ch. 1–2)Channel estimation and pilot design (MIMO Ch. 3)Achievable rate analysis with imperfect CSI (MIMO Ch. 4)Power control basics (MIMO Ch. 5)Multi-user information theory: MAC and BC capacity (ITA Ch. 13–16)Linear algebra: matrix inversion, pseudo-inverse, eigenvalue decomposition
💬 Discussion
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