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Sum-capacity computation for the Gaussian vector broadcast channel via dual decomposition

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1 Author(s)
Wei Yu ; Edward S. Rogers, Univ. of Toronto, Ont.

A numerical algorithm for the computation of sum capacity for the Gaussian vector broadcast channel is proposed. The sum capacity computation relies on a duality between the Gaussian vector broadcast channel and the sum-power constrained Gaussian multiple-access channel. The numerical algorithm is based on a Lagrangian dual decomposition technique and it uses a modified iterative water-filling approach for the Gaussian multiple-access channel. The algorithm converges to the sum capacity globally and efficiently

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Information Theory, IEEE Transactions on  (Volume:52 ,  Issue: 2 )