Achieving high bit rates is the main goal of wireless technologies like 5G and beyond. This translates to obtaining high spectral efficiencies using large number of antennas at the transmitter and receiver (single user massive multiple input multiple output or SU-MMIMO). It is possible to have a large number of antennas in the mobile handset at mm-wave frequencies in the range $30 - 300$ GHz due to the small antenna size. In this work, we investigate the bit-error-rate (BER) performance of SU-MMIMO in two scenarios (a) using serially concatenated turbo code (SCTC) in uncorrelated channel and (b) parallel concatenated turbo code (PCTC) in correlated channel. Computer simulation results indicate that the BER is quite insensitive to re-transmissions and wide variations in the number of transmit and receive antennas. Moreover, we have obtained a BER of $10^{-5}$ at an average signal-to-interference plus noise ratio (SINR) per bit of just 1.25 dB with 512 transmit and receive antennas ($512\times 512$ SU-MMIMO system) with a spectral efficiency of 256 bits/transmission or 256 bits/sec/Hz in an uncorrelated channel. Similar BER results have been obtained for SU-MMIMO using PCTC in correlated channel. A semi-analytic approach to estimating the BER of a turbo code has been derived.

翻译：实现高比特率是无线技术（如5G及更高版本）的主要目标。这意味着在发送器和接收器（新单用户大规模多输入多输出或SU-MMIMO）上使用大量天线来获得高频谱效率。在毫米波频率范围（30-300 GHz）中，由于天线尺寸较小，可以在移动手持设备上拥有大量天线。在本研究中，我们研究了两种场景下SU-MMIMO的误比特率（BER）性能：（a）使用串行联级涡轮码（SCTC）在不相关的信道中，（b）并行联级涡轮码（PCTC）在相关的信道中。计算机模拟结果表明，BER对重传和发射和接收天线数量的广泛变化非常不敏感。此外，我们使用512个发射和接收天线（$512\times512$ SU-MMIMO系统）在不相关信道中以每比特平均信干噪比（SINR）仅为1.25 dB的条件下，获得了$10^{-5}$的BER，具有256比特/传输或256比特/秒/赫兹的频谱效率。在相关信道中采用PCTC时也得到了类似的BER结果。我们还推导出了涡轮码BER的半解析方法。