中文摘要：

针对如何在消除信道间干扰的同时抑制噪声并降低接收端信号检测的误码率，就是提高整个宽带通信系统性能的重要问题。为了解决上述问题，将半正定松弛检测算法和格基约减的思想相结合，对信道矩阵进行预处理优化，得到长度更短、正交性更强的格基矩阵，从而达到消除子信道之间的干扰和抑制噪声增强的目的。采用上述算法基础上又增加了约束条件，提出了改进的格基约减辅助半正定松弛检测算法。仿真表明，改进算法能够降低接收端信号的误码率性能，提高宽带通信的质量。

英文摘要：

How to eliminate the interference between the channels and reduce the noise and the error rate of the receiver signal detection is an important problem that affects the performance of the whole broadband communication system. In order to solve the above problems, the semi-definite-relaxation detection algorithm is combined with the lattice reduction, the channel matrix is pre-optimized to get a lattice matrix with stronger orthogonality and a shorter length, so as to eliminate the interference between subchannels and suppress the noise enhancement. The constraint conditions are enhanced on the basis of this algorithm, an improved lattice reduction aided semi-definite-relaxation detection algorithm is proposed. Simulations show that the proposed algorithm can reduce the bit error rate of the received signal and improve the quality of the broadband communication.