Optimal Normalized Diversity Product of Lattice-Based Diagonal Space–Time Codes From QAM Signal Constellations

Authors:
Haiquan Wang;Xiang-Gen Xia
Affiliations:
Univ. of Delaware, Newark;-
Venue:
IEEE Transactions on Information Theory
Year:
2008

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Abstract

In this correspondence, we prove that the optimal normalized diversity product of lattice-based diagonal space-time block codes with Gaussian integer (or QAM) signal constellations, i.e., , and any generating matrices of complex entries (not necessarily algebraic extensions of as commonly used) is . This result implies that lattice-based diagonal space-time block codes with Gaussian integer signal constellations and generating matrices of entries from quadratic algebraic extensions of have already reached the optimal normalized diversity product.