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Lattice Strategies for the Dirty Multiple Access Channel
- Source :
- ISIT
- Publication Year :
- 2007
- Publisher :
- IEEE, 2007.
-
Abstract
- A generalization of the Gaussian dirty-paper problem to a multiple access setup is considered. There are two additive interference signals, one known to each transmitter but none to the receiver. The rates achievable using Costa's strategies (i.e. by a random binning scheme induced by Costa's auxiliary random variables) vanish in the limit when the interference signals are strong. In contrast, it is shown that lattice strategies ("lattice precoding") can achieve positive rates independent of the interferences, and in fact in some cases - which depend on the noise variance and power constraints - they are optimal. In particular, lattice strategies are optimal in the limit of high SNR. It is also shown that the gap between the achievable rate region and the capacity region is at most 0.167 bit. Thus, the dirty MAC is another instance of a network setup, like the Korner-Marton modulo-two sum problem, where linear coding is potentially better than random binning. Lattice transmission schemes and conditions for optimality for the asymmetric case, where there is only one interference which is known to one of the users (who serves as a "helper" to the other user), and for the "common interference" case are also derived. In the former case the gap between the helper achievable rate and its capacity is at most 0.085 bit.<br />42 pages, 14 figures
- Subjects :
- FOS: Computer and information sciences
Linear coding
Computer Science - Information Theory
Gaussian
Library and Information Sciences
Topology
Precoding
Upper and lower bounds
Combinatorics
symbols.namesake
Lattice (order)
Computer Science::Information Theory
Mathematics
Channel code
business.industry
Information Theory (cs.IT)
Transmitter
Computer Science Applications
Single antenna interference cancellation
Channel state information
symbols
Dirty paper coding
Transceiver
Telecommunications
business
Random variable
Information Systems
Coding (social sciences)
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- 2007 IEEE International Symposium on Information Theory
- Accession number :
- edsair.doi.dedup.....02c1aa2a4c108b25b99846ce5c9b8eeb