Lattice reduction (LR) has been recently used in signal detection for multiple-input multiple-output (MIMO) systems. The conventional LR aided detection schemes are combinations of LR and signal detection methods such as zero-forcing (ZF) and minimum mean square error (MMSE) detection schemes. In this paper, we propose the LR aided scheme based on the augmented channel matrix and develop the method that corrects the errors occurred in the quantization step. Numerical simulations showthat the proposed LR scheme exhibits improved performance and a slight increase in complexity. Moreover, if we combine the conventional LR aided scheme with the quantization error
correction, then bit error ratio (BER) performance is improved with trivial complexity increase at high SNR.