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Asynchronous Channel Training in Multi-Cell Massive MIMO
Pilot contamination has been regarded as the main bottleneck in time division
duplexing (TDD) multi-cell massive multiple-input multiple-output (MIMO)
systems. The pilot contamination problem cannot be addressed with large-scale
antenna arrays. We provide a novel asynchronous channel training scheme to
obtain precise channel matrices without the cooperation of base stations. The
scheme takes advantage of sampling diversity by inducing intentional timing
mismatch. Then, the linear minimum mean square error (LMMSE) estimator and the
zero-forcing (ZF) estimator are designed. Moreover, we derive the minimum
square error (MSE) upper bound of the ZF estimator. In addition, we propose the
equally-divided delay scheme which under certain conditions is the optimal
solution to minimize the MSE of the ZF estimator employing the identity matrix
as pilot matrix. We calculate the uplink achievable rate using maximum ratio
combining (MRC) to compare asynchronous and synchronous channel training
schemes. Finally, simulation results demonstrate that the asynchronous channel
estimation scheme can greatly reduce the harmful effect of pilot contamination
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