Abstract: 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.