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{ "item_title" : "Estimation, Control, and the Discrete Kalman Filter", "item_author" : [" Donald E. Catlin "], "item_description" : "In 1960, R. E. Kalman published his celebrated paper on recursive min- imum variance estimation in dynamical systems14]. This paper, which introduced an algorithm that has since been known as the discrete Kalman filter, produced a virtual revolution in the field of systems engineering. Today, Kalman filters are used in such diverse areas as navigation, guid- ance, oil drilling, water and air quality, and geodetic surveys. In addition, Kalman's work led to a multitude of books and papers on minimum vari- ance estimation in dynamical systems, including one by Kalman and Bucy on continuous time systems15]. Most of this work was done outside of the mathematics and statistics communities and, in the spirit of true academic parochialism, was, with a few notable exceptions, ignored by them. This text is my effort toward closing that chasm. For mathematics students, the Kalman filtering theorem is a beautiful illustration of functional analysis in action; Hilbert spaces being used to solve an extremely important problem in applied mathematics. For statistics students, the Kalman filter is a vivid example of Bayesian statistics in action. The present text grew out of a series of graduate courses given by me in the past decade. Most of these courses were given at the University of Mas- sachusetts at Amherst.", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/1/46/128/864/1461288649_b.jpg", "price_data" : { "retail_price" : "169.99", "online_price" : "169.99", "our_price" : "169.99", "club_price" : "169.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Estimation, Control, and the Discrete Kalman Filter|Donald E. Catlin

Estimation, Control, and the Discrete Kalman Filter

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Overview

In 1960, R. E. Kalman published his celebrated paper on recursive min- imum variance estimation in dynamical systems 14]. This paper, which introduced an algorithm that has since been known as the discrete Kalman filter, produced a virtual revolution in the field of systems engineering. Today, Kalman filters are used in such diverse areas as navigation, guid- ance, oil drilling, water and air quality, and geodetic surveys. In addition, Kalman's work led to a multitude of books and papers on minimum vari- ance estimation in dynamical systems, including one by Kalman and Bucy on continuous time systems 15]. Most of this work was done outside of the mathematics and statistics communities and, in the spirit of true academic parochialism, was, with a few notable exceptions, ignored by them. This text is my effort toward closing that chasm. For mathematics students, the Kalman filtering theorem is a beautiful illustration of functional analysis in action; Hilbert spaces being used to solve an extremely important problem in applied mathematics. For statistics students, the Kalman filter is a vivid example of Bayesian statistics in action. The present text grew out of a series of graduate courses given by me in the past decade. Most of these courses were given at the University of Mas- sachusetts at Amherst.

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Details

  • ISBN-13: 9781461288640
  • ISBN-10: 1461288649
  • Publisher: Springer
  • Publish Date: September 2011
  • Dimensions: 9.21 x 6.14 x 0.62 inches
  • Shipping Weight: 0.93 pounds
  • Page Count: 276

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