Efficient Channel Column Sorting Method based on Householder Transformation for QRM-MLD

In recent years, a high speed data transmission system has been widely researched. Multiple-Input and Multiple-Output (MIMO) systems are one of the key technologies to achieve a high speed data transmission. To realize superior bit error rate (BER) performance, several detection methods for MIMO system have been proposed. QR decomposition with M-algorithm (QRM-MLD) has been proposed to achieve the superior BER performance like Maximum Likelihood Detection (MLD) with low computational complexity. Since the signal detection of QRM-MLD has carried on serial processing, the detection order is crucial to improve the detection performance. To mitigate the detection error in the previous stage, Sorted QR decomposition (SQRD) has been proposed. To implement SQRD, we need an accurate channel column order. However, the complexity and processing delay are considerable works. To solve these problems, we propose a novel channel column sorting method to reduce the calculation complexity and latency. From the simulation results, the proposed scheme achieves superior BER performance with low complexity and latency.