Least Squares (LS) Simulation: 6 Reference Nodes Localizing One Target Node

Resource Overview

Least Squares (LS) simulation using 6 reference nodes to locate a target node, applying RSSI-to-distance conversion formula to calculate distances with code implementation insights.

Detailed Documentation

This article demonstrates how to simulate the localization of a target node using six reference nodes with the Least Squares (LS) method. We employ RSSI (Received Signal Strength Indicator) measurements and a distance conversion formula to calculate distances between the target node and each reference node. The implementation involves converting the relationship between signal strength and distance into a mathematical model, typically using logarithmic path loss models like d = 10^((P0 - RSSI)/(10*n)) where P0 is reference power and n is path loss exponent. The core algorithm solves the overdetermined system of distance equations through matrix operations (e.g., (A^T*A)^-1*A^T*b) to minimize squared errors. We provide detailed explanations of LS principles including error minimization techniques and matrix decomposition approaches, ensuring readers gain practical understanding of the localization methodology.