A smart receiver is used in advanced wireless communication to trim down the fading and shadowing effects. Performance of such receivers depends on the accuracy of the channels estimation. This paper derived general expression of average bit error rate (BER) and outage probability for $L$ branch Maximum Ratio Combining ($L$-MRC) receiver over Beaulieu-Xie (BX) fading channels with Imperfect Channel Estimation (ICE). The BX fading model characterizes dominant multiple specular components with some diffuse power. The probability density function (PDF) of output signal to noise ratio is evaluated for $L$-MRC receiver with channel estimation error over the BX model. The expression of average BER is formulated for binary coherent and non-coherent modulation and the outage probability of the system. The impacts of severity of fading and error estimation on the system performance are analyzed by using the numerical evaluation of the finding expressions.

智能接收器用于高级无线通信中，以减少衰落和阴影效应。这种接收机的性能取决于信道估计的准确性。本文推导了平均误码率（BER）和故障概率的一般表达式$\mathrm{大号}$ 分支最大比率合并（$\mathrm{大号}$具有不完美信道估计（ICE）的Beaulieu-Xie（BX）衰落信道上的-MRC）接收器。BX衰落模型以具有一定的扩散能力来表征主要的多个镜面反射分量。对输出信噪比的概率密度函数（PDF）进行评估$\mathrm{大号}$-MRC接收机在BX模型上具有信道估计误差。针对二进制相干和非相干调制以及系统中断的可能性，制定了平均BER的表达式。通过对发现表达式的数值评估，分析了衰落的严重程度和误差估计对系统性能的影响。