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Linear Kalman Filter Deep Dive (and Target Tracking) · LearnSpace
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Linear Kalman Filter Deep Dive (and Target Tracking)

Курс от University of Colorado System
Средний≈ 21.7 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

As a follow-on course to "Kalman Filter Boot Camp", this course derives the steps of the linear Kalman filter to give understanding regarding how to adjust the method to applications that violate the standard assumptions. Applies this understanding to enhancing the robustness of the filter and to extend to applications including prediction and smoothing. Shows how to implement a target-tracking application in Octave code using an interacting multiple-model Kalman filter.

Навыки, которые вы освоите

EstimationApplied MathematicsMathematical ModelingLinear AlgebraForecastingStatistical MethodsMatlabStatistical InferenceCorrelation AnalysisTime Series Analysis and ForecastingNumerical AnalysisMarkov Model

Программа курса

4 модулей · 94 учебных материалов

01Deriving the linear Kalman filter26 материалов

2.1: Introduction to the course

Frequently Asked QuestionsЧтениеCourse ResourcesЧтениеHow to Use Discussion ForumsЧтениеIntroduce yourselfОбсуждение

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Gregory Plett

Professor

Linear Kalman Filter Deep Dive (and Target Tracking)
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≈ 21.7 ч

4 модулей

Язык: Английский

Субтитры: Казахский

Часть программы вашего университета
Earn a Course CertificateЧтение
Are you interested in earning an online MSEE degree?Чтение

2.1.1: Welcome to the course!

Notes for Lesson 2.1.1Чтение2.1.1: Welcome to the course!Видео

2.1.2: Predict/correct mechanism of sequential probabilistic inference

Notes for Lesson 2.1.2Чтение2.1.2: Predict/correct mechanism of sequential probabilistic inferenceВидеоPractice assignment for Lesson 2.1.2Задание

2.1.3: The Kalman-filter gain factor

Notes for Lesson 2.1.3Чтение2.1.3: The Kalman-filter gain factorВидеоPractice assignment for Lesson 2.1.3Задание

2.1.4: Summarizing the six steps of generic sequential probabilistic inference

Notes for Lesson 2.1.4Чтение2.1.4: Summarizing the six steps of generic sequential probabilistic inferenceВидеоPractice quiz for Lesson 2.1.4Задание

2.1.5: Deriving the three linear Kalman-filter prediction steps

Notes for Lesson 2.1.5Чтение2.1.5: Deriving the three linear Kalman-filter prediction stepsВидеоPractice quiz for Lesson 2.1.5Задание

2.1.6: Deriving the three linear Kalman-filter correction steps

Notes for Lesson 2.1.6Чтение2.1.6: Deriving the three linear Kalman-filter correction stepsВидеоPractice assignment for Lesson 2.1.6Задание

2.1.7: Summary of "Deriving the linear Kalman filter" module plus next steps

Notes for Lesson 2.1.7Чтение2.1.7: Summary of "Deriving the linear Kalman filter" module plus next stepsВидеоGraded assignment for week 1Задание
02Making the linear Kalman filter bulletproof24 материалов

2.2.1: How do we improve the numeric robustness of a Kalman filter?

Notes for Lesson 2.2.1Чтение2.2.1: How do we improve the numeric robustness of a Kalman filter?ВидеоPractice assignment for Lesson 2.2.1Задание

2.2.2: How do we increase the precision of the linear Kalman filter?

Notes for Lesson 2.2.2Чтение2.2.2: How do we increase the precision of the linear Kalman filter?ВидеоLab to compare standard and square-root Kalman filtersЛабораторнаяPractice assignment for Lesson 2.2.2Задание

2.2.3: How do I initialize and tune a Kalman filter?

Notes for Lesson 2.2.3Чтение2.2.3: How do I initialize and tune a Kalman filter?ВидеоPractice assignment for Lesson 2.2.3Задание

2.2.4: What do we do when the noises are nonzero-mean?

Notes for Lesson 2.2.4Чтение2.2.4: What do we do when the noises are nonzero-mean?ВидеоLab to compare KF with and without bias correctionЛабораторнаяPractice assignment for Lesson 2.2.4Задание

2.2.5: What do I do if the process and sensor noises are cross-correlated?

Notes for Lesson 2.2.5Чтение2.2.5: What do I do if the process and sensor noises are cross-correlated?ВидеоPractice assignment for Lesson 2.2.5Задание

2.2.6: What about when the process and sensor noises are not white?

Notes for Lesson 2.2.6Чтение2.2.6: What about when the process and sensor noises are not white?ВидеоLab to compare KF with and without compensation for autocorrelated noisesЛабораторнаяPractice assignment for Lesson 2.2.6Задание

2.2.7: Summary of "Making the linear Kalman filter bulletproof" module plus next steps

Notes for Lesson 2.2.7Чтение2.2.7: Summary of "Making the linear Kalman filter bulletproof" module plus next stepsВидеоGraded assignment for week 2Задание
03Extensions and refinements to linear Kalman filters24 материалов

2.3.1: Automatically detecting bad measurements with a Kalman filter

Notes for Lesson 2.3.1Чтение2.3.1: Automatically detecting bad measurements with a Kalman filterВидеоPractice assignment for Lesson 2.3.1Задание

2.3.2: Processing measurements sequentially for multi-output systems

Notes for Lesson 2.3.2Чтение2.3.2: Processing measurements sequentially for multi-output systemsВидеоPractice assignment for Lesson 2.3.2Задание

2.3.3: Using the Kalman filter for prediction

Notes for Lesson 2.3.3Чтение2.3.3: Using the Kalman filter for predictionВидеоA Kalman predictorЛабораторнаяPractice assignment for Lesson 2.3.3Задание

2.3.4: Using the Kalman filter for smoothing

Notes for Lesson 2.3.4Чтение2.3.4: Using the Kalman filter for smoothingВидеоA Kalman smootherЛабораторнаяPractice assignment for Lesson 2.3.4Задание

2.3.5: Steady-state Kalman filters

Notes for Lesson 2.3.5Чтение2.3.5: Steady-state Kalman filtersВидеоSteady-state Kalman filterЛабораторнаяPractice assignment for Lesson 2.3.5Задание

2.3.6: Continuous-time Kalman filters

Notes for Lesson 2.3.6Чтение2.3.6: Continuous-time Kalman filtersВидеоPractice assignment for Lesson 2.3.6Задание

2.3.7: Summary of "Extensions and refinements to linear Kalman filters" module plus next steps

Notes for Lesson 2.3.7Чтение2.3.7: Summary of "Extensions and refinements to linear Kalman filters" module plus next stepsВидеоGraded assignment for week 3Задание
04Target-tracking application using a linear Kalman filter20 материалов

2.4.1: Some unique features of the target-tracking application

Notes for Lesson 2.4.1Чтение2.4.1: Some unique features of the target-tracking applicationВидеоPractice assignment for Lesson 2.4.1Задание

2.4.2: Tracking with polar measurements and a Cartesian state

Notes for Lesson 2.4.2Чтение2.4.2: Tracking with polar measurements and a Cartesian stateВидеоConverting polar to CartesianЛабораторнаяPractice assignment for Lesson 2.4.2Задание

2.4.3: The interacting-multiple-model Kalman filter

Notes for Lesson 2.4.3Чтение2.4.3: The interacting-multiple-model Kalman filterВидеоPractice assignment for Lesson 2.4.3Задание

2.4.4: Implementing the IMM Kalman filter in Octave

Notes for Lesson 2.4.4Чтение2.4.4: Implementing the IMM Kalman filter in OctaveВидеоThe IMMЛабораторнаяPractice assignment for Lesson 2.4.4Задание

2.4.5: Steady-state alpha-beta-gamma target-tracking filters

Notes for Lesson 2.4.5Чтение2.4.5: Steady-state alpha-beta-gamma target-tracking filtersВидеоPractice assignment for Lesson 2.4.5Задание

2.4.6: Summary of "Target-tracking application using a linear Kalman filter" module plus next steps

Notes for Lesson 2.4.6Чтение2.4.6 :Summary of "Target-tracking application using a linear Kalman filter" module plus next stepsВидеоGraded assignment for week 4Задание