On The Evaluation of Blind Pilot Decontamination in Finite Dimensions

A multicell multiuser massive multiple-input multiple-output (MIMO) system is considered. A finite dimensions analysis of blind pilot decontamination is conducted. We obtain the exact cumulative density functions of the minimum and the maximum eigenvalue of the desired signal and the interference, respectively. With the help of these functions a probabilistic threshold for the interference-to-signal power ratio is calculated which guarantees the separation of the eigenvalue bulks of interference and desired signal with high probability.