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The topic of this study is the outage behavior of multiple-antenna slowfading channels with quantized feedback and partial power control. A fixed-ratecommunication system is considered. It is known from the literature that witherror-free feedback, the outage-optimal quantizer for power control has acircular structure. Moreover, the diversity gain of the system increasespolynomially with the cardinality of the power control codebook. Here, asimilar system is studied, but when the feedback link is error-prone. We provethat in the high-SNR regime, the optimal quantizer structure with noisyfeedback is still circular and the optimal Voronoi regions are contiguousnon-zero probability intervals. Furthermore, the optimal power control codebookresembles a channel optimized scalar quantizer (COSQ), i.e., the Voronoiregions merge with erroneous feedback information. Using a COSQ, the outageperformance of the system is superior to that of a no-feedback scheme. However,asymptotic analysis shows that the diversity gain of the system is the same asa no-CSIT scheme if there is a non-zero and non-vanishing feedback errorprobability.

Outage behavior of slow fading channels with power control using noisy quantized CSIT