Chapter 12: Channels with State

Learning Objectives

• Formulate channels with state and distinguish causal from non-causal state information
• Derive the capacity with causal state information via Shannon strategies
• State and prove the Gel'fand-Pinsker theorem for non-causal encoder state information
• Derive Costa's dirty paper coding result: interference known at the encoder can be completely canceled
• Explain how DPC forms the information-theoretic basis for MU-MIMO precoding
• Analyze channels with state information available only at the decoder