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Dependence Balance and the Gaussian Multiaccess Channel with Feedback

Kramer, G.   Gastpar, M.  
Communications and Statistical Sciences Dept., Bell Labs, Lucent Technologies, 600 Mountain Ave., Murray Hill, NJ 07974 USA, Email: gkr@bell-labs.com
This paper appears in: Information Theory Workshop, 2006. ITW '06 Punta del Este. IEEE
Publication Date: 13-17 March 2006
On page(s): 198 - 202
Location: Punta del Este, Uruguay
ISBN: 1-4244-0035-X
Digital Object Identifier: 10.1109/ITW.2006.1633810
Current Version Published: 2006-06-05

Abstract
Dependence balance bounds of Hekstra and Willems are generalized and refined. The new bounds are applied to the K-user multiaccess channel (MAC) with output feedback, and they are shown to establish the feedback sum-rate capacity for the Gaussian MAC when all users have the same per-symbol power constraints. The sum-rate capacity is achieved by Fourier modulated estimate correction. The feedback sum-rate capacity is shown to improve the no-feedback capacity by only log log K nats per use for large K. The new bounds also improve on cut-set bounds for asymmetric powers and rates.

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