Receive antenna selection for polarized antennas

In this work we analyze the combined effects of array orientation/rotation and antenna cross polarization discrimination on the performance of dual-polarized systems with receive antenna selection. We start our analysis with a 1 out of N selection and extend it to M out of N receive antenna selection, for which we derive numerical expressions for the effective channel gains. These expressions are valid for small values of M and N, and approximately valid for higher values of M and N. Our analysis shows that robustness against rotation increases as the number of selected antennas is increased. We conclude from our analysis that M needing to be at least 1/2 of N, the maximum effective channel gain can be attained.