Coherent Space-Time Shift Keying (CSTSK) is a recently developed generalizedshift-keying framework for Multiple-Input Multiple-Output systems, which uses aset of Space-Time matrices termed as Dispersion Matrices (DM). CSTSK may becombined with a classic signaling set (eg. QAM, PSK) in order to strike aflexible tradeoff between the achievable diversity and multiplexing gain. Oneof the key benefits of the CSTSK scheme is its Inter-Channel Interference (ICI)free system that makes single-stream Maximum Likelihood detection possible atlow-complexity. In the existing CSTSK scheme, DMs are chosen by maximizing themutual information over a large set of complex valued, Gaussian random matricesthrough numerical simulations. We refer to them as Capacity-Optimized (CO) DMs.In this contribution we establish a connection between the STSK scheme as wellas the Space-Time Block Codes (STBC) and show that a class of STBCs termed asDecomposable Dispersion Codes (DDC) enjoy all the benefits that are specific tothe STSK scheme. Two STBCs belonging to this class are proposed, a rate-onecode from Field Extensions and a full-rate code from Cyclic Division Algebras,that offer structured DMs with desirable properties such as full-diversity, anda high coding gain. We show that the DMs derived from these codes are capableof achieving a performance than CO-DMs, and emphasize the importance of DMshaving a higher coding gain than CO-DMs in scenarios having realistic,imperfect channel state information at the receiver.
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