# Received Signal Strength Based Wireless Source Localization with Inaccurate Anchor Position

## TL;DR

This paper proposes a novel RSS-based wireless source localization method that effectively handles inaccuracies in anchor positions using Taylor expansion, a min-max approach, and semi-definite programming, validated through simulations.

## Contribution

It introduces a new localization approach that accounts for anchor position errors, combining theoretical modeling with practical algorithms.

## Key findings

- The proposed method improves localization accuracy in the presence of anchor inaccuracies.
- Simulation results demonstrate the effectiveness of the approach compared to existing methods.
- The semi-definite programming relaxation facilitates solving the non-convex optimization problem.

## Abstract

Received signal strength (RSS)-based wireless localization is easy to implement at low cost. In practice,exact positions of anchors may not be available. This paper focuses on determining the location of a source in the presence of inaccurate positions of anchors based on RSS directly. We first use Taylor expansion and a min-max approach to get a maximum likelihood estimator of the coordinates of the source. Then we propose a relaxed semi-definite programming model to circumvent the non-convexity. We also propose a rounding algorithm considering both inaccurate source location and inaccurate anchor locations.Simulation results together with analysis are presented to validate the proposed method.