Kalman Filtering

with Real-Time Applications

  • Charles K. Chui
  • Guanrong Chen

Table of contents

About this book

Introduction

Kalman Filtering with Real-Time Applications presents a thorough discussion of the mathematical theory and computational schemes of Kalman filtering. The filtering algorithms are derived via different approaches, including a direct method consisting of a series of elementary steps, and an indirect method based on innovation projection. Other topics include Kalman filtering for systems with correlated noise or colored noise, limiting Kalman filtering for time-invariant systems, extended Kalman filtering for nonlinear systems, interval Kalman filtering for uncertain systems, and wavelet Kalman filtering for multiresolution analysis of random signals. Most filtering algorithms are illustrated by using simplified radar tracking examples. The style of the book is informal, and the mathematics is elementary but rigorous. The text is self-contained, suitable for self-study, and accessible to all readers with a minimum knowledge of linear algebra, probability theory, and system engineering.

Keywords

Algorithm Filtering Interval Sytem Optical Estimation Wavelet algorithms tracking

Authors and affiliations

  • Charles K. Chui
    • 1
  • Guanrong Chen
    • 2
  1. 1.Department MathematicsTexas A & M UniversityCollege StationUSA
  2. 2.Department of Electronic EngineeringCity University Hong KongKowloonChina

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-87849-0
  • Copyright Information Springer Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-87848-3
  • Online ISBN 978-3-540-87849-0
  • About this book