Part 2: Multi-User MIMO: Precoding and Detection
Chapter 9: Uplink Detection
Advanced~300 min
Learning Objectives
- Formulate the massive MIMO uplink system model and identify the key design parameters
- Derive the MRC receiver and its SINR expression, and characterize the massive MIMO limit
- Derive the ZF receiver, analyze noise enhancement via the condition number, and show the massive MIMO limit
- Derive the MMSE (regularized ZF) receiver as the optimal linear receiver and compute its SINR
- Explain how MMSE-SIC achieves the MAC capacity region and connects to successive decoding
- Describe low-complexity approximations: Neumann series, local MMSE, and iterative methods
- Analyze box detection for low-resolution ADC systems via the Bussgang decomposition
Sections
Prerequisites
Massive MIMO fundamentals: channel hardening, favorable propagation (MIMO Ch. 1–4)Achievable rate analysis with MRC, ZF, MMSE (MIMO Ch. 4)Linear precoding: MRT, ZF, regularized ZF downlink (MIMO Ch. 6)Channel estimation and pilot design (MIMO Ch. 3)MAC capacity region and successive decoding (ITA Ch. 15)MMSE estimation: LMMSE, Bayesian estimation theory (FSI Ch. 12)Linear algebra: matrix inversion lemma, eigenvalue decomposition, positive definite matrices
💬 Discussion
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