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On Code Linearity and Rotational Invariance for a Class of Trellis Codes for M-PSK

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Communications and Cryptography

Part of the book series: The Springer International Series in Engineering and Computer Science ((SECS,volume 276))

Abstract

A class of trellis codes is defined based on a novel trellis structure. An algebraic basis is introduced using either the ring of integers Z M or the ring of polynomials P M defined over the primary field GF(p). Codes are constructed for M-PSK by mapping subgroups and their cosets onto branch planes in the trellis. Special attention is given to codes that are linear in the defined algebra and to those for which decoding is unaffected by certain phase errors in the receiver.

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References

  1. L. H. ZetterbergCoded Phase Modulation with Geometrically Designed Trellises and Coset Mapping TRITA-SB-9308Royal Institute of Technology (KTH), Stockholm, Sweden, 1993.

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  2. L. H. Zetterberg, “A class of trellis codes for phase modulation based on geometrical design and coset mapping”Proc. Sixth Joint Swedish-Russian International Workshop on Information TheoryAugust 22–27 1993, Mölle, Sweden, pp 23–27.

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  3. G. D. Forney Jr., “Coset codes - part I: Introduction and geometrical classification”IEEE Trans. on Inform. TheoryVol. 34, No. 5, pp. 1123–1151, 1988.

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© 1994 Springer Science+Business Media New York

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Zetterberg, L.H. (1994). On Code Linearity and Rotational Invariance for a Class of Trellis Codes for M-PSK. In: Blahut, R.E., Costello, D.J., Maurer, U., Mittelholzer, T. (eds) Communications and Cryptography. The Springer International Series in Engineering and Computer Science, vol 276. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2694-0_43

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  • DOI: https://doi.org/10.1007/978-1-4615-2694-0_43

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6159-6

  • Online ISBN: 978-1-4615-2694-0

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