  We perform an asymptotic study on the performance of filter bank multicarrier
(FBMC) in the context of massive multi-input multi-output (MIMO). We show that
the signal-to-interference-plus-noise ratio (SINR) cannot grow unboundedly by
increasing the number of base station (BS) antennas, and is upper bounded by a
certain deterministic value. This is a result of the correlation between the
multi-antenna combining tap values and the channel impulse responses between
the terminals and the BS antennas. To solve this problem, we introduce a simple
FBMC prototype filter design method that removes this correlation, enabling us
to achieve arbitrarily large SINR values by increasing the number of BS
antennas.
