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Comments on “A Lower Bound on the Minimum Euclidean Distance of Trellis-Coded Modulation Schemes”
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Comments on “A Lower Bound on the Minimum Euclidean Distance of Trellis-Coded Modulation Schemes”

Chi-Chao Chao, Mao-Ching Chiu and Christian Schlegel
IEEE Transactions on Information Theory, Vol.41(5), pp.1531-1535
1995

Abstract

lower bound minimum distance random coding Trellis-coded modulation
It is shown that the derivation in the subject paper is incorrect and hence the lower bound obtained is not valid for general trellis-coded modulation schemes. A corrected bound is presented to remedy this flaw. Also shown is a similar lower bound derived from the average distance structure. Both bounds have similar asymptotic behavior and are linear in the constraint length. Unfortunately, they are bad and not very useful for short and medium constraint lengths. This correspondence points out that there is still much room for further research in finding a good lower bound on the maximal minimum distance for trellis-coded modulation schemes. © 1995 IEEE.

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