Abstract-In this work, a new transmission power control algorithm based on the use of Quantitative Feedback Theory (QFT) is proposed for CDMA wireless cellular networks. The QFT based loop-shaping framework that is considered fully compensates the effect of link round-trip time delay within the network. The design supports predefined levels of performance robustness in the presence of channel uncertainty and signal interference. A novel stability boundary is introduced based on the use of the Jury Array that informs the necessary trade-off between disturbance attenuation and system stability. Extensive simulation results are provided that illustrate the effectiveness of the proposed methodology.Index Terms-Power control, Wireless cellular network, Quantitative feedback theory (QFT).
I. IWith the rapid growth of wireless networks, there is an increasing demand for Quality of Service (QoS). In codedivision-multiple-access (CDMA) system many users share the same channel. In such a case, the power receiver from users close to the base station is much higher than that received from users further away. Therefore, a user close to the base will constantly create a lot of interference for users far from the base station, making their reception impossible. This near-far effect can be solved by applying an appropriate power control (PC) algorithms so that all users are received by the base station with the same average power. As wireless radio channels are typically affected by exogenous, uncertain factors that have an adverse impact on system performance such as path loss, shadowing and fading effects as well as noise and time delay; PC is clearly a challenging objective.In this work, a new Active Power Control (APC) algorithm is presented based on quantitative feedback theory. The basis for the work relies on the following assumptions that: (i) it is feasible to adjust the transmission power in an appropriate fashion in each base-mobile, (ii) the received signal quality at a receiver can be reliably measured using a signal-tointerference-noise ratio (SINR) type metric. It is also noted that the focus of the is on uplink system (communication from mobile users to the base station).Consider a wireless cellular system consisting of N user and M fixed base stations. The SINR for i-th user in the desired cell is given by, [17]: where g i j represents the channel gain between i-th base staion and j-th subscriber. p j also denotes the power that j−th user consumes for packet transmission. σ 2 i is the power of the white noise at the base station i. I i represents both inter and intracell interferences. SINR represented in (1), contains sufficient information on channel gain and interference so that an APC algorithm based on SINR feedback control can address the existing issues.In practice, an APC algorithm should have the properties of simplicity, the ability to adjust the power levels of each transmitted signal using only local measurements, in a reasonable time, and to maintain a desired signal-to-interference rati...