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We consider online coordinated precoding design for downlink wireless networkvirtualization (WNV) in a multi-cell multiple-input multiple-output (MIMO)network with imperfect channel state information (CSI). In our WNV framework,an infrastructure provider (InP) owns each base station that is shared byseveral service providers (SPs) oblivious of each other. The SPs design theirprecoders as virtualization demands for user services, while the InP designsthe actual precoding solution to meet the service demands from the SPs. Our aimis to minimize the long-term time-averaged expected precoding deviation overMIMO fading channels, subject to both per-cell long-term and short-termtransmit power limits. We propose an online coordinated precoding algorithm forvirtualization, which provides a fully distributed semi-closed-form precodingsolution at each cell, based only on the current imperfect CSI without any CSIexchange across cells. Taking into account the two-fold impact of imperfect CSIon both the InP and the SPs, we show that our proposed algorithm is within an$O(\delta)$ gap from the optimum over any time horizon, where $\delta$ is a CSIinaccuracy indicator. Simulation results validate the performance of ourproposed algorithm under two commonly used precoding techniques in a typicalurban micro-cell network environment.

Online Multi-Cell Coordinated MIMO Wireless Network Virtualization with Imperfect CSI