Power Control with Quantized Feedback in Wireless Networks: Stability Analysis of Foschini-Miljanic Algorithm
Na Li, Rongrong Qian · 2019
This paper is concerned with the power control problem in wireless networks and presents bounded-input bounded-output (BIBO) stability analysis of the classic Foschini-Miljanic (FM) power control algorithm with logarithmic quantized feedback. Thereby, we first construct the model of FM algorithm with logarithmic quantized state feedback, where the feedback scheme has been used by multi-input system with imperfect input channels. Then we analyze BIBO stability of system and derive sufficient and necessary condition of the stability. Finally we provide numerical examples to demonstrate the correctness of condition and compare quantized effects under different parameters.