Golden Ratio Assisted Localization for Wireless Sensor Network

This paper presents a novel localization algorithm for wireless sensor networks (WSNs) called Golden Ratio Localization (GRL), which leverages the mathematical properties of the golden ratio (phi 1.618) to optimize both node placement and communication range. GRL introduces phi-based anchor node deployment and hop-sensitive weighting using phi-exponents to improve localization accuracy while minimizing energy consumption. Through extensive simulations conducted on a 100 m * 100 m sensor field with 100 nodes and 10 anchors, GRL achieved an average localization error of 2.35 meters, outperforming DV- Hop (3.87 meters) and Centroid (4.95 meters). In terms of energy efficiency, GRL reduced localization energy consumption to 1.12 microJ per node, compared to 1.78 microJ for DV-Hop and 1.45 microJ for Centroid. These results confirm that GRL provides a more balanced and efficient localization approach, making it especially suitable for energy-constrained and large-scale WSN deployments.

• Publication year

  2025

• Venue

  arXiv.org

• Publication date

  2025-06-17

• Fields of study

  Computer Science, Engineering

• Identifiers
  DOI 10.48550/arXiv.2506.22464arXiv 2506.22464
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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