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Reduced-state representations for trellis codes using constellation symmetry

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1 Author(s)
Wesel, R.D. ; Electr. Eng. Dept., Univ. of California, Los Angeles, CA, USA

This paper presents a symmetry-based technique for trellis-code state-diagram reduction that has more general applicability than the quasi-regularity technique of Rouanne et al. and Zehavi et al. for trellis codes using standard constellations and labelings. For a 2νx-state trellis code, the new technique reduces the 22νx state diagram to 2νx+νq-state diagram where 0≤νq≤νx. The particular value of νq depends on the constellation labeling and the convolutional encoder. For standard rate-k/(k+1) set-partitioned trellis codes, νq=0, and the overall number of states is the same with the new technique as with quasi-regularity. For codes that are not quasi-regular (and thus not amenable to the quasi-regularity technique), the new technique often provides some improvement (when νqx). For 8-phase-shift-keying trellis codes, the new technique always yields νq=0.

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Communications, IEEE Transactions on  (Volume:52 ,  Issue: 8 )