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Centroid of a Body: Problem Solving01:03

Centroid of a Body: Problem Solving

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The centroid of a body is a crucial concept in engineering and physics. Finding the centroid of a body can help determine its stability, its balance point, and even its design. In this context, consider a thin wire bent in the form of a quarter circular arc. Polar coordinates are used to calculate the centroid. The wire is first divided into small differential elements of a length equal to the radius multiplied by the differential angle.
The x-coordinates and y-coordinates of each element's...
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Centroid of a Body01:16

Centroid of a Body

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The centroid is an important concept in engineering, physics, and mechanics. It is the geometric center of a body. It always lies within the body except in cases with holes or cavities. When the material that a body is composed of is uniform or homogeneous, the centroid coincides with its center of mass or the center of gravity.
For a homogeneous body with constant density, the centroid can usually be found using equations representing a balance of the moments of the body's volume. If the...
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Field Application of Global Positioning System01:28

Field Application of Global Positioning System

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The Global Positioning System (GPS) has become an indispensable tool in fieldwork, offering unparalleled precision and efficiency for surveying, navigation, and infrastructure development. By harnessing signals from a constellation of satellites, GPS receivers determine the location of objects with remarkable speed and accuracy, often completing calculations within a second.Advantages of Modern GPS TechnologyContemporary GPS receivers are designed to meet the practical demands of field...
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Weighted Mean00:57

Weighted Mean

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While taking the arithmetic, geometric, or harmonic mean of a sample data set, equal importance is assigned to all the data points. However, all the values may not always be equally important in some data sets. An intrinsic bias might make it more important to give more weightage to specific values over others.
For example, consider the number of goals scored in the matches of a tournament. While computing the average number of goals scored in the tournament, it may be more important to...
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Centroid for the Paraboloid of Revolution01:16

Centroid for the Paraboloid of Revolution

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The paraboloid of revolution is an axially symmetric surface generated by rotating a parabola around its axis. This shape has several applications in mechanical engineering due to its advantageous structural properties, such as strength against stress concentration points and rotational symmetry.
The centroid for the paraboloid of revolution is the point where all the mass of the paraboloid is concentrated. This centroid is important for engineering applications, as it determines how forces are...
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Nodal Analysis01:10

Nodal Analysis

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Nodal analysis is a fundamental method in electrical engineering used to simplify the process of circuit analysis. This method revolves around the concept of using node voltages as the primary variables for circuit analysis. The objective is to determine the voltage at each node in a circuit, which can then be used to find other quantities of interest, such as currents through specific components.
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Related Experiment Video

Updated: Sep 17, 2025

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

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Application of weighted centroid algorithm based on weight correction in node localization of wireless sensor

Wengang Yu1, ChunLing Yu2

  • 1Department of Artificial Intelligence, JiangSu Food & Pharmaceutical Science College, Huai'an, 223001, China. yuwengang2024@163.com.

Scientific Reports
|July 3, 2025
PubMed
Summary

This study introduces an improved weighted center-of-mass algorithm for wireless sensor networks (WSNs) that enhances node positioning accuracy and reduces energy consumption. The new method effectively minimizes ranging errors, offering a more reliable solution for WSN data monitoring.

Keywords:
Chimpanzee optimization algorithmErrorNodeWeightWeighted centroidWireless sensor network

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Area of Science:

  • Wireless Sensor Networks (WSNs)
  • Localization Algorithms
  • Signal Processing

Background:

  • Node positioning accuracy is critical for WSN data reliability.
  • Traditional center-of-mass algorithms suffer from RSSI errors and poor anchor distribution, leading to inaccuracies.
  • Balancing positioning accuracy and energy efficiency remains a significant challenge in complex WSN environments.

Purpose of the Study:

  • To propose a novel weighted center-of-mass algorithm for WSNs.
  • To improve positioning accuracy while reducing energy consumption.
  • To address limitations of existing RSSI-based localization techniques.

Main Methods:

  • Implemented Gaussian-constant filtering to denoise Received Signal Strength Indicator (RSSI) values.
  • Corrected weight factors by considering anchor node density and communication range.
  • Utilized the chimpanzee optimization algorithm for optimal node localization.

Main Results:

  • The improved algorithm achieved a minimum distance error of less than 1.0 m.
  • Average positioning errors were as low as 0.15 m and 0.14 m, outperforming traditional and other advanced algorithms.
  • Demonstrated over 90% positioning accuracy and at least a 90% reduction in energy consumption compared to other methods.

Conclusions:

  • The proposed weighted center-of-mass algorithm significantly enhances WSN positioning accuracy and energy efficiency.
  • The method effectively mitigates RSSI vulnerabilities and improves upon traditional center-of-mass positioning.
  • Offers a promising low-power, high-accuracy solution for WSN applications.