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Random and Systematic Errors01:20

Random and Systematic Errors

Scientists always try their best to record measurements with the utmost accuracy and precision. However, sometimes errors do occur. These errors can be random or systematic. Random errors are observed due to the inconsistency or fluctuation in the measurement process, or variations in the quantity itself that is being measured. Such errors fluctuate from being greater than or less than the true value in repeated measurements. Consider a scientist measuring the length of an earthworm using a...
Random Error01:04

Random Error

Random or indeterminate errors originate from various uncontrollable variables, such as variations in environmental conditions, instrument imperfections, or the inherent variability of the phenomena being measured. Usually, these errors cannot be predicted, estimated, or characterized because their direction and magnitude often vary in magnitude and direction even during consecutive measurements. As a result, they are difficult to eliminate. However, the aggregate effect of these errors can be...

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Sensors (Basel, Switzerland)·2025
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Updated: May 25, 2026

Using Micro-Electro-Mechanical Systems (MEMS) to Develop Diagnostic Tools
16:05

Using Micro-Electro-Mechanical Systems (MEMS) to Develop Diagnostic Tools

Published on: October 1, 2007

A Rigorous Temperature-Dependent Stochastic Modelling and Testing for MEMS-Based Inertial Sensor Errors.

Mohammed El-Diasty1, Spiros Pagiatakis

  • 1Department of Earth and Space Science and Engineering, York University, Toronto, ON M3J 1P3, Canada;

Sensors (Basel, Switzerland)
|February 1, 2012
PubMed
Summary
This summary is machine-generated.

Temperature significantly impacts Micro-Electro-Mechanical Systems (MEMS) inertial sensor errors. Developing temperature-aware stochastic models is crucial for accurate navigation solutions in MEMS-based Inertial Navigation System/Global Positioning System (INS/GPS) integration.

Keywords:
AR modelGM modelMEMSUKFinertial sensortemperature

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Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
15:25

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

Published on: February 4, 2018

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Last Updated: May 25, 2026

Using Micro-Electro-Mechanical Systems (MEMS) to Develop Diagnostic Tools
16:05

Using Micro-Electro-Mechanical Systems (MEMS) to Develop Diagnostic Tools

Published on: October 1, 2007

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
15:25

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

Published on: February 4, 2018

Area of Science:

  • Sensor Technology
  • Navigation Systems
  • Stochastic Modeling

Background:

  • Micro-Electro-Mechanical Systems (MEMS) inertial sensors are vital components in navigation systems.
  • Sensor performance, particularly random error, can be affected by environmental factors like temperature.
  • Accurate modeling of sensor errors is essential for reliable navigation solutions.

Purpose of the Study:

  • To investigate the influence of varying temperature points on the random error of MEMS-based inertial sensors.
  • To develop and validate stochastic models that account for temperature-dependent sensor behavior.
  • To assess the impact of these models on the accuracy of navigation solutions.

Main Methods:

  • Static data collection from a MEMS inertial sensor (ADIS16364) across different temperatures within a thermal chamber.
  • Development of Autoregressive-based Gauss-Markov (AR-based GM) stochastic models to characterize random error.
  • Application of Unscented Kalman Filter (UKF) to test the performance of temperature-calibrated stochastic models using kinematic data.

Main Results:

  • Stochastic model parameters (correlation times) for the MEMS inertial unit were found to be temperature-dependent.
  • A stochastic model developed at 20 °C yielded a more accurate inertial navigation solution compared to models developed at other tested temperatures (-40 °C to +60 °C).
  • The temperature dependence of the stochastic model significantly affects navigation accuracy.

Conclusions:

  • The random error behavior of MEMS-based inertial sensors is demonstrably influenced by temperature.
  • Temperature-dependent stochastic modeling is a critical factor for optimizing MEMS-based INS/GPS integration.
  • Accurate navigation solutions necessitate continuous consideration of sensor temperature variations in stochastic models.