中文摘要：

对于PSK调制下的空频块码，复数球形译码相对实数球形译码有较低的复杂度．当复数球形译码的初始半径趋向无穷大时，排序的复杂度高．本文针对PSK符号提出每层符号以排序中心点为中心，在极坐标角度维按照之字（Zigzag）排序的方法．通过查表可以快速获得排序后的符号序列，查表排序球形译码算法相对于通用复数球形译码算法在16-PSK调制14dB平均比特信噪比下节省约61％的复杂度．

英文摘要：

The complex sphere decoding has lower complexity compared with real sphere decoding for space-frequency block codes with PSK modulation. When the initial radius of the complex sphere decoder tends to infinity, sorting has high complexity, For symbols of PSK modulation, a new sorting method is proposed in every layer according to the zigzag rule centred the middle reference point in the angle dimension of the polar coordination, Through looking up the table, the sorted symbol sequence can be fast gained. Compared with the general complex sphere decoding algorithm, the sphere decoding algorithm through looking up table of sorted symbol sequence can save approximate 61% complexity for 16-PSK in 14dB average bit SNR.