Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

281
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
281
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

234
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
234
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

313
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
313
Feedback control systems01:26

Feedback control systems

635
Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
635
Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model01:13

Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model

232
Drugs administered through various routes can lead to nonlinear elimination, resulting in complex pharmacokinetic behaviors crucial to understanding efficacious drug dosing.
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
232
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation01:24

One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation

1.0K
This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...
1.0K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Factor Graph-Based Time-Synchronized Trajectory Planning for UAVs in Ground Radar Environment Simulation.

Sensors (Basel, Switzerland)·2025
Same author

Handheld Ground-Penetrating Radar Antenna Position Estimation Using Factor Graphs.

Sensors (Basel, Switzerland)·2025
Same author

Motion Compensation for Radar Terrain Imaging Based on INS/GPS System.

Sensors (Basel, Switzerland)·2019
See all related articles

Related Experiment Video

Updated: Dec 26, 2025

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

2.0K

Extended Kalman Filter with Reduced Computational Demands for Systems with Non-Linear Measurement Models.

Piotr Kaniewski1

  • 1Military University of Technology, ul. gen. S. Kaliskiego 2, 00-908 Warszawa, Poland.

Sensors (Basel, Switzerland)
|March 18, 2020
PubMed
Summary

This study introduces a method to reduce computational load in Extended Kalman Filters for non-linear systems. By selectively linearizing models based on Jacobian variability, significant computational savings are achieved without compromising estimation accuracy.

Keywords:
Extended Kalman filteradaptive filterlinearizationnonlinear system model

More Related Videos

A Method for Tracking the Time Evolution of Steady-State Evoked Potentials
12:03

A Method for Tracking the Time Evolution of Steady-State Evoked Potentials

Published on: May 25, 2019

8.8K
Experimental Methods to Study Human Postural Control
08:12

Experimental Methods to Study Human Postural Control

Published on: September 11, 2019

10.0K

Related Experiment Videos

Last Updated: Dec 26, 2025

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

2.0K
A Method for Tracking the Time Evolution of Steady-State Evoked Potentials
12:03

A Method for Tracking the Time Evolution of Steady-State Evoked Potentials

Published on: May 25, 2019

8.8K
Experimental Methods to Study Human Postural Control
08:12

Experimental Methods to Study Human Postural Control

Published on: September 11, 2019

10.0K

Area of Science:

  • Signal Processing
  • Control Systems Engineering
  • Navigation Systems

Background:

  • Extended Kalman Filters (EKFs) are crucial for radio-location and radio-navigation.
  • Non-linear measurement models necessitate complex EKFs, increasing computational cost.
  • Linearization via Jacobian matrices in EKFs is computationally intensive.

Purpose of the Study:

  • To propose a method for reducing computational complexity in EKFs for systems with non-linear measurement models.
  • To optimize EKF performance by minimizing unnecessary linearization computations.
  • To maintain estimation accuracy while reducing computational burden.

Main Methods:

  • Analyzing the variability of Jacobian matrices within the EKF loop.
  • Implementing a threshold-based linearization strategy.
  • Developing a simulation-based method for threshold determination.

Main Results:

  • Significant reduction in computational burden achieved through conditional linearization.
  • Negligible increase in estimation errors demonstrated for optimized threshold values.
  • Validation of the method using simplified radar system models.

Conclusions:

  • The proposed threshold-based Jacobian analysis offers an effective approach to EKF computational complexity reduction.
  • This method provides a practical solution for enhancing the efficiency of navigation and location systems.
  • The technique balances computational savings with reliable estimation accuracy.