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Diversity Product Properties of Lu–Kumar's Space-Time Codes

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2 Author(s)
Huiyong Liao ; Dept. of Electr. & Comput. Eng., Univ. of Delaware, Newark, DE ; Xia, Xiang-Gen

In this paper, we show that the diversity products of the full transmit diversity space-time block codes proposed by Lu-Kumar (we call them Lu-Kumar's codes) with quadratic-amplitude modulation (QAM) constellations are lower bounded by 4. We present a sufficient condition on the minimum Hamming weight of the linear binary full-rank space-time code such that this lower bound is met. We show that the special Lu-Kumar codes does satisfy the sufficient condition, and therefore, the diversity products of the special Lu-Kumar codes are 4, where ldquospecialrdquo means that the linear binary full-rank space-time codes are not general but specially constructed by Lu-Kumar.

Published in:

Information Theory, IEEE Transactions on  (Volume:55 ,  Issue: 2 )