基于范数和相关性的GSM天线组合选择算法

针对广义空间调制系统(GSM)在相关信道下进行天线选择时，不能兼顾高信道增益和天线间低相关程度问题，该文提出一种基于范数和相关性的递增发射天线组合选择算法。首先计算所有天线组合的范数并排序。其次选出范数最大的天线组合加入候选集中，最后从剩余集中选取与候选集中天线组合相关程度最低的天线组合逐个加入候选集。该算法将有效信道向量作为评价天线组合是否优秀的定量指标，有效信道向量之间的夹角中不仅反映了天线组合之间的相关性，还隐性反映了信道向量的范数，在最大化有效信道增益的同时，提高各组合之间的辨识度。仿真表明，在误比特率为10?3时，相比于随机选择天线组合算法，该算法能获得2 dB的增益。与相同频谱效率下的接收端天线选择算法相比，该算法获得约1.3 dB的增益。

Antenna Combination Selection Algorithm for Generalized Spatial Modulation Systems Based on Norm and Correlation

Aiming at the problem that the generalized spatial modulation (GSM) system can not take into account the high channel gain and low correlation degree under correlated channels and the applicable scenarios of antenna selection technology, an incremental antenna combination selection algorithm based on norm and correlation is proposed. First the norms of all antenna combinations are calculated and sorted. Secondly, the antenna combination with the largest norm is selected and added into the candidate set. Finally, the antenna combination with the lowest degree of correlation with the antenna combination in the candidate set is selected from the remaining set and added to the candidate set one by one. The algorithm uses the effective channel vector as a quantitative indicator to evaluate whether the antenna combination is excellent. The angle among the effective channel vectors not only explicitly reflects the correlation among the antenna combinations, but also implicitly reflects the range of the channel vector. While maximizing the channel gain, the degree of identification among the combinations is improved. Simulation shows that when the bit error rate is 10?3, the algorithm can obtain a gain of 2 dB compared to the random selection of antenna combination algorithm. Compared with the receiving antenna selection algorithm under the same spectrum efficiency, this algorithm obtains a gain of about 1.3 dB.