Part 2: Coded Caching over Wireless

Chapter 5: Coded Caching with Multi-Antenna Transmitters

Advanced~180 min

Learning Objectives

  • Formulate the cache-aided multi-antenna Gaussian broadcast channel as delivery of general message sets
  • State and prove the key CommIT result: DoF=t+L\mathrm{DoF} = t + L where t=KM/Nt = KM/N and LL is the number of transmit antennas
  • Understand why the caching and spatial multiplexing gains add rather than multiply
  • Construct the Lampiris-Caire scheme: partition KK users into (Kt+L)\binom{K}{t+L} delivery groups of size t+Lt+L
  • Analyze the finite-SNR rate behavior including pre-log corrections
  • Relate the multi-antenna scheme to interference alignment and index coding with side information

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