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The sum degrees of freedom (DoF) of the two-transmitter, two-receivermultiple-input multiple-output (MIMO) X-Network ($2 \times 2$ MIMO X-Network)with $M$ antennas at each node is known to be $\frac{4M}{3}$. Transmissionschemes which couple local channel-state-information-at-the-transmitter (CSIT)based precoding with space-time block coding to achieve the sum-DoF of thisnetwork are known specifically for $M=2,4$. These schemes have been proven toguarantee a diversity gain of $M$ when a finite-sized input constellation isemployed. In this paper, an explicit transmission scheme that achieves the$\frac{4M}{3}$ sum-DoF of the $2 \times 2$ X-Network for arbitrary $M$ ispresented. The proposed scheme needs only local CSIT unlike the Jafar-Shamaischeme which requires the availability of global CSIT in order to achieve the$\frac{4M}{3}$ sum-DoF. Further, it is shown analytically that the proposedscheme guarantees a diversity gain of $M+1$ when finite-sized inputconstellations are employed.

Interference Aligned Space-Time Transmission with Diversity for the $2 \times 2$ X-Network