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Dirty paper coding

In telecommunications, dirty paper coding (DPC) or Costa precoding 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 interference. Dirty-paper coding achieves the channel capacity without a power penalty and without requiring the receiver to know the interfering signal.

The term dirty paper coding was coined by Max Costa[1] who compared the technique to writing a message on a piece of paper which is partially soiled with random ink strokes or spots. By erasing and adding ink in the proper places, the writer can convey just as much information as if the paper were clean, even though the reader does not know where the dirt was. In this analogy, the paper is the channel, the dirt is interference, the writer is the transmitter, and the reader is the receiver.

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

Variants edit

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

Design considerations edit

DPC and DPC-like techniques require 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 edit

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" and is the modulation mechanism used by 10GBASE-T.

See also edit

References edit

  1. ^ a b M. Costa (May 1983). (PDF). IEEE Transactions on Information Theory. 29 (3): 439–441. doi:10.1109/TIT.1983.1056659. Archived from the original (PDF) on 2015-01-21.
  2. ^ M. Tomlinson (March 1971). "New automatic equalizer employing modulo arithmetic". Electron. Lett. 7 (5–6): 138–139. Bibcode:1971ElL.....7..138T. doi:10.1049/el:19710089.
  3. ^ H. Harashima; H. Miyakawa (August 1972). "Matched-transmission technique for channels with intersymbol interference". IEEE Trans. Commun. COM-20 (4): 774–780. doi:10.1109/TCOM.1972.1091221.
  4. ^ B. M. Hochwald; C. B. Peel; 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. CiteSeerX 10.1.1.3.9687. doi:10.1109/TCOMM.2004.841997. S2CID 2384238.
  5. ^ Caire, Guissepe; Shamai, Shlomo (July 2003). "On the Achievable Throughput of a Multiantenna Gaussian Broadcast Channel". IEEE Transactions on Information Theory. 49 (3): 1691–1706. doi:10.1109/TIT.2003.813523. S2CID 13926433.
  6. ^ C. T. K. Ng; 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; Zixiang Xiong (February 2007). "Capacity Bounds and Code Designs for Cooperative Diversity". Information theory and applications.

External links edit

  • , the original publication by Max Costa

dirty, paper, coding, telecommunications, dirty, paper, coding, costa, precoding, technique, efficient, transmission, digital, data, through, channel, subjected, some, interference, known, transmitter, technique, consists, precoding, data, order, cancel, inter. In telecommunications dirty paper coding DPC or Costa precoding 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 interference Dirty paper coding achieves the channel capacity without a power penalty and without requiring the receiver to know the interfering signal The term dirty paper coding was coined by Max Costa 1 who compared the technique to writing a message on a piece of paper which is partially soiled with random ink strokes or spots By erasing and adding ink in the proper places the writer can convey just as much information as if the paper were clean even though the reader does not know where the dirt was In this analogy the paper is the channel the dirt is interference the writer is the transmitter and the reader is the receiver Note that DPC at the encoder is an information theoretic dual of Wyner Ziv coding at the decoder citation needed Contents 1 Variants 2 Design considerations 3 Applications 4 See also 5 References 6 External linksVariants editInstances of dirty paper coding include Costa precoding 1983 1 Suboptimal approximations of dirty paper coding include Tomlinson Harashima precoding THP published in 1971 2 3 and the vector perturbation technique of Hochwald et al 2005 4 Design considerations editDPC and DPC like techniques require 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 editIn 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 and is the modulation mechanism used by 10GBASE T See also editCognitive radio Multiple input multiple output communications Multi user MIMO PalimpsestReferences edit a b M Costa May 1983 Writing on dirty paper PDF IEEE Transactions on Information Theory 29 3 439 441 doi 10 1109 TIT 1983 1056659 Archived from the original PDF on 2015 01 21 M Tomlinson March 1971 New automatic equalizer employing modulo arithmetic Electron Lett 7 5 6 138 139 Bibcode 1971ElL 7 138T doi 10 1049 el 19710089 H Harashima H Miyakawa August 1972 Matched transmission technique for channels with intersymbol interference IEEE Trans Commun COM 20 4 774 780 doi 10 1109 TCOM 1972 1091221 B M Hochwald C B Peel 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 CiteSeerX 10 1 1 3 9687 doi 10 1109 TCOMM 2004 841997 S2CID 2384238 Caire Guissepe Shamai Shlomo July 2003 On the Achievable Throughput of a Multiantenna Gaussian Broadcast Channel IEEE Transactions on Information Theory 49 3 1691 1706 doi 10 1109 TIT 2003 813523 S2CID 13926433 C T K Ng 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 Momin Uppal Zhixin Liu Vladimir Stankovic Anders Host Madsen Zixiang Xiong February 2007 Capacity Bounds and Code Designs for Cooperative Diversity Information theory and applications External links edit Writing on Dirty Paper the original publication by Max Costa Retrieved from https en wikipedia org w index php title Dirty paper coding amp oldid 1186901667, wikipedia, wiki, book, books, library,

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