Computation over Gaussian Multiple-Access Channels
Nazer, Bobak
Gastpar, Michael
Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, Berkeley, CA 94720, USA. Email: bobak@eecs.berkeley.edu;
This paper appears in: Information Theory, 2007. ISIT 2007. IEEE International Symposium on
Publication Date: 24-29 June 2007
On page(s): 2391-2395
Location: Nice,
ISBN: 978-1-4244-1397-3
Digital Object Identifier: 10.1109/ISIT.2007.4557577
Current Version Published: 2008-07-09
Abstract
We consider the problem of computing the sum of independent Gaussian sources over a Gaussian multiple-access channel (MAC) with respect to a mean-squared error criterion. When the source and channel bandwidths are equal, the best separation-based solution to this problem performs exponentially worse in a distortion sense compared to the optimal solution: uncoded transmission. In this paper, we develop lattice codes for exploiting the structure of the Gaussian MAC when there are more channel uses than source symbols. We also demonstrate the usefulness of these codes in determining the multicast capacity of a simple AWGN network.
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