  The new generation of telecommunication systems must provide acceptable data
rates and spectral efficiency for new applications. Recently massive MIMO has
been introduced as a key technique for the new generation of telecommunication
systems. Cell-free massive MIMO system is not segmented into cells. Each BS
antennas are distributed throughout the environment and each user is served by
all BSs, simultaneously.
  In this paper, the performance of the multiuser cell-free massive MIMO-system
exploying space-time block codes in the uplink, and with linear decoders is
studied. An Inverse matrix approximation using Neumann series is proposed to
reduce the computational and hardware complexity of the decoding in the
receiver.
  For this purpose, each user has two antennas, and also for improving the
diversity gain performance, space-time block codes are used in the uplink.
Then, Neumann series is used to approximate the inverse matrix in ZF and MMSE
decoders, and its performance is evaluated in terms of BER and spectral
efficiency.
  In addition, we derive lower bound for throughput of ZF decoder.
  The simulation results show that performance of the system , in terms of BER
and spectral efficiency, is better than the single-antenna users at the same
system. Also, the BER performance in a given system with the proposed method
will be close to the exact method.
