Pilot contamination problem mainly comes from
the linearity of channel estimation algorithms, e.g. zero
forcing, and MMSE, which can be overcame by applying
nonlinear channel estimation algorithms. Therefore, the
alternating projection (AP) algorithm is back to our sights.
Since an AP based channel estimation uses the unknown
data symbols (blind) for channel estimation, the concern of
pilot contamination is vanished. This paper deals with AP
for Massive multi-input multi- output (MIMO) system with
focus on the channel estimation mean square error (MSE)
analysis. Through analytical results, we will show that
an AP based blind channel estimation is biased at
high signal to interference ratio (SIR) and tends to be
unbiased at low SIR. The reason of biasing is that it
estimates the channel and detects data for both the target
user and the interfering users simultaneously, so the higher
interfering power can benefit the detection performance.
Simulation results further confirm the results.
Keywords— Massive MIMO, Pilot contamination, Alternating
projection, Zero-forcing, MMSE
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