Kalman Filter Primer

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A01=Randall L. Eubank
advanced Kalman filter algorithms
Author_Randall L. Eubank
Block Column
blocks
BLUP
Brownian Motion
Category=PBKD
cholesky
Cholesky Factorization
Concentrated Log Likelihood
control theory applications
Current State Vector
decomposition
diagonal
Diagonal Blocks
discrete-time systems
Entire State Vector
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fixed Interval Smoothing
Forward Recursion
francis
group
Initial State Vector
Innovation Vectors
Kalman Filter
least squares methods
matrix decomposition
model
noise modeling
Normal State Space Models
Prediction Intervals
Row Block
Sample Likelihood
Sample Log Likelihood Function
signal estimation
space
state
State Space Model
State Space Setting
State Space Structure
State Vector Predictors
State Vectors
T- 1
Variance Covariance Matrix
vector

Product details

  • ISBN 9780824723651
  • Weight: 530g
  • Dimensions: 152 x 229mm
  • Publication Date: 29 Nov 2005
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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System state estimation in the presence of noise is critical for control systems, signal processing, and many other applications in a variety of fields. Developed decades ago, the Kalman filter remains an important, powerful tool for estimating the variables in a system in the presence of noise. However, when inundated with theory and vast notations, learning just how the Kalman filter works can be a daunting task.

With its mathematically rigorous, “no frills” approach to the basic discrete-time Kalman filter, A Kalman Filter Primer builds a thorough understanding of the inner workings and basic concepts of Kalman filter recursions from first principles. Instead of the typical Bayesian perspective, the author develops the topic via least-squares and classical matrix methods using the Cholesky decomposition to distill the essence of the Kalman filter and reveal the motivations behind the choice of the initializing state vector. He supplies pseudo-code algorithms for the various recursions, enabling code development to implement the filter in practice. The book thoroughly studies the development of modern smoothing algorithms and methods for determining initial states, along with a comprehensive development of the “diffuse” Kalman filter.

Using a tiered presentation that builds on simple discussions to more complex and thorough treatments, A Kalman Filter Primer is the perfect introduction to quickly and effectively using the Kalman filter in practice.

Eubank, Randall L.

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