# Distributed Power Control with Partial Channel State Information: Performance Characterization and Design

## TL;DR

This paper characterizes the utility region for distributed power control with partial, noisy channel information and proposes an iterative algorithm that outperforms existing methods in energy and spectral efficiency.

## Contribution

It provides a general utility region characterization and introduces a novel iterative algorithm for distributed power control under partial channel state information.

## Key findings

- The algorithm achieves superior energy and spectral efficiency.
- It performs well even with noisy or partial channel observations.
- Outperforms state-of-the-art techniques in simulations.

## Abstract

One of the goals of this paper is to contribute to finding distributed power control strategies which exploit efficiently the information available about the global channel state; it may be local or noisy. A suited way of measuring the global efficiency of a distributed power control scheme is to use the long-term utility region. First, we provide the utility region characterization for general utility functions when the channel state obeys an independent block fading law and the observation structure is memoryless. Second, the corresponding theorem is exploited to construct an iterative algorithm which provides one-shot power control strategies. The performance of the proposed algorithm is assessed for energy-efficient and spectrally efficient communications and shown to perform much better than state-of-the-art techniques, with the additional advantage of being applicable even in the presence of arbitrary observation structures such as those corresponding to noisy channel gain estimates.