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Trellis complexity versus the coding gain of lattices. I

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2 Author(s)
Tarokh, Vahid ; Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada ; Blake, I.F.

The best possible tradeoff between the coding gain and trellis complexity for lattices is studied. Three trellis complexity functions are defined for lattices as a measure of minimum trellis decoding complexity per dimension required for achieving a coding gain γ. The properties of these functions are studied from an analytic perspective. It is also shown that the trellis decoding complexity per dimension is lower-bounded by an explicit power of γ

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Information Theory, IEEE Transactions on  (Volume:42 ,  Issue: 6 )