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Adaptive beamforming for binary phase shift keying communication systems

机译：二进制相移键控通信系统的自适应波束形成

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The paper revisits adaptive beamforming assisted receiver for multiple antenna aided multiuser systems that employ binary phase shift keying (BPSK) modulation. The standard minimum mean square error (MMSE) design is based on the criterion of minimising the mean square error (MSE) between the beamformer's desired output and complex-valued beamformer's output. Since the desired output for BPSK systems is real-valued, minimising the MSE between the beamformer's desired output and real-part of the beamformer's output can significantly improve the bit error rate (BER) performance, and we refer to this alternative MMSE design as the real-valued MMSE (RV-MMSE) to contrast to the standard complex-valued MMSE (CV-MMSE) design. The minimum BER (MBER) design however still outperforms the RV-MMSE solution, particularly for overloaded systems where degree of freedom of the antenna array is smaller than the number of BPSK users. Adaptive implementation of this RV-MMSE beamforming design is realised using a least mean square (LMS) type adaptive algorithm, which we refer to as the RV-LMS, in comparison to the standard CV-LMS algorithm. The RV-LMS adaptive beamformer is shown to have a similar computational complexity as the adaptive MBER beamforming implementation known as the least bit error rate (LBER), imposing only half of the computational requirements of the CV-LMS algorithm.
机译：本文针对采用二进制相移键控（BPSK）调制的多天线辅助多用户系统，重新讨论了自适应波束成形辅助接收机。标准最小均方误差（MMSE）设计基于最小化波束形成器所需输出和复数值波束形成器输出之间的均方误差（MSE）的标准。由于BPSK系统的期望输出是实值，因此将波束形成器的期望输出和波束形成器的输出的实部之间的MSE最小化可以显着提高误码率（BER）性能，因此我们将这种替代MMSE设计称为实值MMSE（RV-MMSE）与标准复值MMSE（CV-MMSE）设计形成对比。但是，最小BER（MBER）设计仍然胜过RV-MMSE解决方案，尤其是对于天线阵列的自由度小于BPSK用户数量的过载系统。与标准CV-LMS算法相比，使用最小均方（LMS）类型的自适应算法（我们称为RV-LMS）实现了RV-MMSE波束成形设计的自适应实现。 RV-LMS自适应波束形成器的计算复杂度与自适应MBER波束形成实现（称为最小误码率（LBER））相似，仅占CV-LMS算法计算要求的一半。

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