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The Kalman Filter

Brian Douglas
25 min
Beginner
Article / Blog
Theory

This article introduces the Kalman filter at a high level and tries to provide some insight into how the filter is able to estimate state by combining measurements and models. 

This is an...

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How a Kalman Filter Works in Pictures

Tim Babb
20 min
Beginner
Article / Blog
Theory

This article builds up some intuition about the Kalman filter using pictures before diving into the mathematics.  A beginner will come away with an understanding of what the Kalman filter is...

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An Introduction to the Kalman Filter

Greg Welch and Gary Bishop
45 min
Beginner
Article / Blog
Theory

The purpose of this paper is to provide a practical introduction to the discrete Kalman filter. This introduction includes a description and some discussion of the basic discrete Kalman...

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Radar Tutorial (English)

Christian Wolff
Beginner
Article / Blog
Theory

This page provides a detailed overview of radar principles and technologies, including mathematical, physical and technical explanations. “Radartutorial” explains the fundamentals of radar...

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Introduction: PID Controller Design

Prof. Bill Messner and Prof. Dawn Tilbury
30 min
Beginner
Article / Blog
Application

In this tutorial we will introduce a simple, yet versatile, feedback compensator structure: the Proportional-Integral-Derivative (PID) controller. The PID controller is widely employed...

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System Identification Overview

Mathworks
Beginner
Article / Blog
Theory

System identification is a methodology for building mathematical models of dynamic systems using measurements of the input and output signals of the system.  This overview from Mathworks...

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What's a Control System and Why Should I Care?

Daniel Y. Abramovitch
Beginner
Article / Blog
Theory

This paper is designed as a primer for college level STEM students about to take their first formal class in feedback control systems. This means that the explanations assume the reader has...

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3-DOF Orientation Tracking with IMUs

Gordon Wetzstein
30 min
Beginner
Article / Blog
Theory

This document is not meant to be a comprehensive review of orientation tracking for virtual reality applications but rather an intuitive introduction to inertial measurement units (IMUs) and...

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How Simulations Work

Tucker McClure
30 min
Beginner
Article / Blog
Theory

This article sets out the critical aspects of building good simulations — that is, simulations that are accurate, easy to develop and analyze, and fast. The first sections deal with how a...

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How Kalman Filters Work, Part 1

Tucker McClure
30 min
Beginner
Article / Blog
Theory

This article looks at four popular estimation filter architectures: particle filter, sigma point filter, extended Kalman filter, and the Kalman filter. It discusses how all four of these...

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Basic course of control theory (Hungarian and English)

BME - Automatizálási és Alkalmazott Informatikai Tanszék
Beginner
Article / Blog
Theory

The basic course of control theory is taught in the 3rd year for the students specialized in information technology at the Faculty of Electrical Engineering and Informatics of the Budapest...

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Massive MIMO Hybrid Beamforming

Mathworks
Beginner
Example
Application

This MATLAB example shows how hybrid beamforming is employed at the transmit end of a massive MIMO communications system, using techniques for both multi-user and single-user systems. The...

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The Linear Quadratic Regulator

Laurent Lessard
Beginner
Article / Blog
Theory

In these notes, we will derive the solution to the finite-horizon linear quadratic regulator (LQR) problem in several different ways. Fundamentally, LQR can be viewed as a large least...

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Matlab: The Radar Equation

Mathworks
Beginner
Article / Blog
Theory

This Mathworks page explains the parameters of the radar range equation. The point target radar range equation estimates the power at the input to the receiver for a target of a given radar...

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Pathfinding with A*

Amit Patel
60 min
Beginner
Article / Blog
Application

An interactive visual explanation of the A* pathfinding algorithm.  This resource uses motivating examples from computer games. 

 

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What Is Online Estimation?

Mathworks
Beginner
Article / Blog
Theory

This Mathworks document describes online estimation. Online estimation algorithms estimate the parameters and states of a model when new data is available during the operation of the...

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First-Order Filters

R. Russell Rhinehart
Beginner
Article / Blog
Application

Use data filters to temper noise - relation of options to lag and variance reduction

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