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In this paper, we consider a $n_t\times n_r$ multiple-input multiple-output(MIMO) channel subjected to block fading. Reliability (in terms of achieveddiversity order) and rate (in number of symbols transmitted per channel use)are of interest in such channels. We propose a new precoding scheme whichachieves both full diversity ($n_tn_r$th order diversity) as well as full rate($n_t$ symbols per channel use) using partial channel state information at thetransmitter (CSIT), applicable in MIMO systems including $n_r<n_t$ asymmetricMIMO. The proposed scheme achieves full diversity and improved coding gainthrough an optimization over the choice of constellation sets. The optimizationmaximizes $d_{min}^2$ for our precoding scheme subject to an energy constraint.The scheme requires feedback of $n_t-1$ angle parameter values, compared to$2n_tn_r$ real coefficients in case of full CSIT. Error rate performanceresults for $3\times 1$, $3\times 2$, $4\times 1$, $8\times 1$ precoded MIMOsystems (with $n_t=3,3,4,8$ symbols per channel use, respectively) show thatthe proposed precoding achieves 3rd, 6th, 4th and 8th order diversities,respectively. These performances are shown to be better than other precodingschemes in the literature; the better performance is due to the choice of thesignal sets and the feedback angles in the proposed scheme.

Full-Rate Full-Diversity Achieving MIMO Precoding with Partial CSIT