Massive MIMO systems operating in spatial multiplexing mode provide greater capacities. Zero Forcing (ZF) is one of the simple detection techniques used in the massive MIMO systems to recover the transmitted data streams at the receiver. In this paper, a generalized expression for the post-detection Signal to Noise Ratio (SNR) of the substream is derived by accounting the spatial correlation and channel estimation error. Further the Average Bit Error Rate (ABER) of ZF receiver for M-Phase Shift Keying (PSK) and M-Quadrature Amplitude Modulation (QAM) is evaluated from the derived post-detection SNR. Also, a closed-form approximation for the ABER of ZF receiver under transmit correlated Rician fading channel with channel estimation error is derived. From the simulation results, it is quite interesting to notice that for equal number of transmitting and receiving antennas and at higher values of average received SNR ($E_s/N_0$), the ABER of ZF receiver becomes independent of the receiver correlation. Further, it is also observed that the value of $E_s/N_0$ at which the ABER with full spatial correlation converges to the ABER with transmitter correlation varies with respect to the correlation coefficient (${\rho }_t,{\rho }_r$) and Mean Square estimation Error (MSE) (${{\sigma }_{\epsilon }}^2$), while keeping the other parameters constant.

在空间复用模式下运行的大规模MIMO系统可提供更大的容量。零强制（ZF）是在大规模MIMO系统中用于恢复接收器传输数据流的一种简单检测技术。在本文中，通过考虑空间相关性和信道估计误差，得出了子流检测后信噪比（SNR）的通用表达式。此外，还从导出的检测后SNR评估ZF接收机用于M相移键控（PSK）和M正交幅度调制（QAM）的平均误码率（ABER）。此外，推导了在发射相关的Rician衰落信道下具有信道估计误差的ZF接收机的ABER的闭式近似。根据仿真结果，${Ë}_s/{ñ}_0$），ZF接收器的ABER变得与接收器相关性无关。此外，还观察到${Ë}_s/{ñ}_0$ 具有完全空间相关性的ABER收敛到具有发射器相关性的ABER随相关系数的变化而变化（${\rho }_{Ť}，{\rho }_{\mathrm{[R}}$）和均方估计误差（MSE）（${{\sigma }_{\epsilon }}^2$），同时保持其他参数不变。