Completely decentralised code with Gray-code-like property

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Completely decentralised code with Gray-code-like property

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Motivated by applications such as decentralised feedback control with communication constraints, presented is a coding scheme for continuous variables that bears a Gray-code-like property, but can be implemented with both encoding and decoding decentralised (which Gray code cannot). It is proved that the code constructed achieves the highest possible efficiency given the Gray-code-like requirement and the decentralised implementation constraint.

Inspec keywords: decoding; Gray codes

Other keywords: encoding; decentralised code; Gray-code; decoding

Subjects: Codes

References

    1. 1)
      • Li, K., Baillieul, J.: `Problems in decentralized sensor-actuator networks', Proc. IEEE Conf. on Decision and Control, December 2005, Sevilla, Spain, p. 3207–3212.
    2. 2)
      • Gray, F.: `Pulse code communication', United States, 2632058, 17 March 1953, 43rd IEEE Conf. on Decision and Control.
    3. 3)
      • Nair, G.N., Evans, R.J., Caines, P.E.: `Stabilising decentralised linear systems under data rate constraints', Proc. 43rd IEEE Conf. on Decision and Control, 2004, p. 3992–3997.
    4. 4)
      • Farhadi, A., Ahmed, N.U.: `Decentralized suboptimal control via limited capacity channels', Proc. American Control Conf., June 2009, St Louis, MO, USA, p. 3525–3530.
http://iet.metastore.ingenta.com/content/journals/10.1049/el.2009.2364
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