Uplink-downlink duality via minimax duality

• Published in: IEEE transactions on information theory Vol. 52; no. 2; pp. 361 - 374
• Main Author: Yu, Wei
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.02.2006; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Broadcast channel; Broadcasting; Channels; Communication channels; Covariance; Covariance matrix; Decision feedback equalizers; Downlink; Gaussian; Gaussian noise; Input output analysis; Lagrange multiplier; Lagrangian duality; Lagrangian functions; Linearity; Mathematical analysis; Matrices; minimax optimization; Minimax technique; Minimax techniques; multiple-access channel; multiple-antenna; multiple-input multiple-output (MIMO); Multiplexers; Mutual information; Vectors; Vectors (mathematics)

The sum capacity of a Gaussian vector broadcast channel is the saddle point of a minimax Gaussian mutual information expression where the maximization is over the set of transmit covariance matrices subject to a power constraint and the minimization is over the set of noise covariance matrices subje...