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E-raamat: Kalman Filter: Introduction to State Estimation and Its Application for Embedded Systems

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This textbook presents the theory of Kalman filtering in an easy-to-understand way. The authors provide an introduction to Kalman filters and their application in embedded systems. In addition, the design of Kalman filters is demonstrated using concrete practical examples individual steps are explained in detail throughout the book. Kalman filters are the method of choice for eliminating interference signals from sensor data. This is particularly important because many technical systems obtain their process-relevant information via sensors. However, every sensor measurement contains errors due to various factors. If a system were to operate solely based on these inaccurate sensor readings, many applicationssuch as navigation systems or autonomous systemswould not be feasible. The book is suitable for interested bachelor's and master's students in the fields of computer science, mechanical engineering, electrical engineering, and mechatronics. It is also a valuable resource for engineers and researchers who want to use a Kalman filter, for example, for data fusion or the estimation of unknown variables in real-time applications.
Introductory Example.-State Space Representation.- Probability Theory.-
Signal Theory.- Classical Kalman Filter.- Adaptive Kalman Filter (ROSE
Filter).- Nonlinear Kalman Filters.- System Noise.- Quality Measures.-
General Procedure.- Example: Bias Estimation.- Example: Kinematic Models. -
Example: Measurement Noise with Offset.- Example: Alternative Motion Model of
the Lunar Module.- Example: Covariance Matrix of Measurement Noise.- Example:
Environmental Sensor with ROSE Filter.- Example: Lane Detection.- Example: DC
Motor.- Example: Position and Velocity Estimation with EKF Filter.
Prof. Dr. Reiner Marchthaler holds a professorship in the field of "Embedded Systems" in the Faculty of Computer Science and Engineering at Esslingen University of Applied Sciences, specializing in data fusion.



Sebastian Dingler studied Computer Engineering and Computer Science at Esslingen University of Applied Sciences and at the Karlsruhe Institute of Technology (KIT).