EUROCODE '90 pp 271-280 | Cite as

Coded modulation with convolutional codes over rings

  • Renato Baldini Filho
  • Patrick G. Farrell
Section 5 Convolutional Codes
Part of the Lecture Notes in Computer Science book series (LNCS, volume 514)


The objective of this work is to present a multilevel convolutional coding method based on rings of integers modulo-m (generally m is a power of 2) which is suitable for Coded Modulation schemes. This new method of coded modulation is proposed because of the similarities between an m-ary phase shift keying modulation and the structure of a ring of integers modulo-m. Tables of multilevel transparent systematic convolutional codes with some of their characteristics are also presented. Finally, curves of decoding performance are shown for some convolutional codes suitable for coded 4-PSK and 8-PSK.


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8) References

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    Ungerboeck, G., "Channel Coding with Multilevel/Phase Signals", IEEE Trans. on Inform. Theory, pp. 55–67, Jan. 1982.Google Scholar
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    Baldini Filho, R., Pessoa, A. C. F. & Arantes, D. S., "Systematic Linear Codes over a Ring for Encoded Phase Modulation", presented at ISICT'87, International Symposium on Information and Coding Theory, Campinas — SP — Brazil.Google Scholar
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    Massey, J. L. & Mittelholzer, T., "Convolutional Codes over Rings", Fourth Joint Swedish-Soviet International Workshop on Information Theory, August 27–SeptemberGoogle Scholar
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    Baldini Filho, R., "Códigos Pseudo-Cíclicos Multiníveis", Annals of 7o Simpósio Brasileiro de Telecomunicações, Sept. 1989, Florianópolis — SC — Brazil, (in Portuguese).Google Scholar
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    Baldini Filho, R. & Farrell, P. G., "Codes Over A Ring Modulo-m", IEE Colloquium on "Multi-level Modulation Techniques for Point-to-Point and Mobile Radio", London — England, 19 March 1990.Google Scholar
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    Baldini Filho, R. & Farrell, P. G., "Coded Modulation with Convolutional over Rings", Second Bangor Symposium on Communications, Bangor — Wales, 23–24 May 1990.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Renato Baldini Filho
    • 1
  • Patrick G. Farrell
    • 1
  1. 1.Communications Research Group Department of Electrical EngineeringThe University of ManchesterManchesterU.K.

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