Dirty paper coding

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In telecommunications, dirty paper coding (DPC) is a technique for efficient transmission of digital data through a channel subjected to some interference known to the transmitter. The technique consists of precoding the data in order to cancel the effect caused by the interference.

Dirty-paper coding achieves the channel capacity, without power penalty and without requiring the receiver to gain knowledge of the interference state.

Note that DPC at the encoder is an information-theoretic dual of Wyner-Ziv coding at the decoder [citation needed].

History

Instances of dirty paper coding include Costa precoding (1983).[1] Suboptimal approximations of dirty paper coding include Tomlinson-Harashima precoding (1971) [2][3] and the vector perturbation technique of Hochwald et al. (2005).[4]

Design considerations

DPC and DPC-like techniques requires knowledge of the interference state in a non causal manner, such as channel state information of all users and other user data. Hence, the design of a DPC-based system should include a procedure to feed side information to the transmitters.

Applications

In 2003, Caire and Shamai [5] applied DPC to the multi-antenna multi-user downlink, which is referred to as the 'broadcast channel' by information theorists. Since then, there has been widespread use of DPC in wireless networks[6] and into an interference aware coding technique for dynamic wireless networks.[7]

Recently, DPC has also been used for "informed digital watermarking".

See also

  • Multiple-input multiple-output communications
  • Advanced MIMO communications
  • Cognitive radio

References

  1. M. Costa (May 1983). "Writing on dirty paper". IEEE Trans. Information Theory 29 (3): 439–441. doi:10.1109/TIT.1983.1056659. 
  2. M. Tomlinson (March 1971). "New automatic equalizer employing modulo arithmetic". Electron. Lett. 7 (5–6): 138–139. doi:10.1049/el:19710089. 
  3. H. Harashima and H. Miyakawa (August 1972). "Matched-transmission technique for channels with intersymbol interference". IEEE Trans. Commun. COM-20: 774–780. 
  4. B. M. Hochwald, C. B. Peel, and A. L. Swindlehurst (March 2005). "A vector-perturbation technique for near-capacity multiantenna multiuser communication - Part II: Perturbation". IEEE Trans. Commun. 53 (3): 537–544. doi:10.1109/TCOMM.2004.841997. 
  5. Caire, Guissepe; Shamai, Shlomo (July 2003). "On the Achievable Throughput of a Multiantenna Gaussian Broadcast Channel". IEEE TRANSACTIONS ON INFORMATION THEORY 49 (3). 
  6. C. T. K. Ng and A. Goldsmith (October 2004). "Transmitter Cooperation in Ad-Hoc Wireless Networks: Does Dirty-Paper Coding Beat Relaying?". IEEE Information Theory Workshop. San Antonio, Texas. pp. 277–282. 
  7. Momin Uppal, Zhixin Liu, Vladimir Stankovic, Anders Høst-Madsen and Zixiang Xiong (February 2007). "Capacity Bounds and Code Designs for Cooperative Diversity". Information theory and applications. 
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