Abstract-The joint estimation of multiple carrier frequency offsets (CFOs) and channel state information (CSI) in a multibase MIMO downlink system is considered here for the case of a fading channel. The multiple CFOs result from independent local oscillators at each basestation (BS), and cause accumulation of phase errors that compromise beamforming accuracy. Using previously devised multiple CFO estimation techniques for simultaneously transmitted training sequences in a non-fading channel, we begin by examining the effects of fading on a linear channel state estimate. An example illustrates that a fade rate threshold can be defined after which linear channel estimation is infeasible. Because of the dependence of the CFO estimators on the CSI estimate, this threshold applies to the CFO estimates as well. As a way to combat the channel variation, the maximum likelihood metric is modified to accommodate a parameterized fading channel estimate.I. INTRODUCTION To achieve a high-capacity multiuser MIMO system, channel state information (CSI) is the most powerful tool available to the communications engineer. With high quality CSI, the inherent diversity of the multipath in the system can be used to create virtual channels that are independent of one another. These channels can be used as a means to eliminate inter-user interference without having to resort to time and/or frequency expansion. If the channel state is static, then these virtual channels can be created once and used indefinitely; for fading channels, periodic channel estimation is necessary for update purposes. The virtual channels are very sensitive to errors in the CSI, as demonstrated in [1].As a means to increase system capacity further, coordinated multibase MIMO (CMB-MIMO) systems, as proposed in [2], [3], [4], share information in order to create a single, very large MIMO system. For CMB-MIMO, the carrier frequency offset (CFO) between each basestation (BS) is capable of disrupting the virtual channels. For example, if the downlink of a CMB-MIMO system relies on spatial zero forcing (ZF) to separate signals to different users, degraded CSI resulting from CFO can cause some loss of orthogonality, and therefore increased interference and reduced capacity [5].For BS frequency accuracy of, for example, ε 0 = 1 ppm, and a static or slowly time-varying channel, it is the CFOs that