Abstract | ||
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We derive an achievable rate region for the Gaussian K-user multiple-access channel (MAC) where all users transmit codewords from a chain of nested lattices. For any set of channel coefficients, this rate region contains points within a constant gap from the sum capacity boundary of the MAC. The main tool used is the recently proposed compute-and-forward framework. A new transformation of a MAC to a modulo-lattice multiple-input multiple-output (MIMO) channel is introduced based on this framework. Specifically, from one noisy linear combination of the transmitted signals the receiver attempts to decode K linearly independent equations with integer-valued coefficients. While the individual rates at which these equations can be decoded are highly sensitive to the exact channel gains, their sum is always within a constant gap from the sum capacity boundary of the MAC. The transformation is then utilized for establishing the desired rate region. |
Year | DOI | Venue |
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2012 | 10.1109/ISIT.2012.6284113 | 2012 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT) |
Keywords | Field | DocType |
signal to noise ratio,lattices,decoding,channel coding,radio receivers,vectors,channel capacity | Topology,Discrete mathematics,Linear independence,Spatial correlation,Communication channel,MIMO,Binary erasure channel,Theoretical computer science,Receiver,Channel capacity,Precoding,Mathematics | Conference |
Citations | PageRank | References |
4 | 0.42 | 7 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Or Ordentlich | 1 | 121 | 18.37 |
Uri Erez | 2 | 1209 | 112.39 |
Bobak Nazer | 3 | 1443 | 79.26 |