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Tracking and Kalman Filtering Made Easy [Hardcover]

Eli Brookner (Author)
4.3 out of 5 stars  See all reviews (7 customer reviews)

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Book Description

0471184071 978-0471184072 April 17, 1998 1
A unique, easy-to-use guide to radar tracking and Kalman filtering

This book presents the first truly accessible treatment of radar tracking; Kalman, Swerling, and Bayes filters for linear and nonlinear ballistic and satellite tracking systems; and the voltage-processing methods (Givens, Householder, and Gram-Schmidt) for least-squares filtering to correct for computer round-off errors. Tracking and Kalman Filtering Made Easy emphasizes the physical and geometric aspects of radar filters as well as the beauty and simplicity of their mathematics. An abundance of design equations, procedures, and curves allows readers to design tracking filters quickly and test their performance using only a pocket calculator!

The text incorporates problems and solutions, figures and photographs, and astonishingly simple derivations for various filters. It tackles problems involving clutter returns, redundant target detections, inconsistent data, track-start and track-drop rules, data association, matched filtering, tracking with chirp waveform, and more. The book also covers useful techniques such as the moving target detector (MTD) clutter rejection technique. All explanations are given in clear and simple terms, including:
* The voltage-processing approach to least-squares filtering
* The correlation between such procedures as discrete orthogonal Legendre polynomial (DOLP) and voltage processing
* The mathematical sameness of tracking and estimation problems on the one hand, and sidelobe canceling and adaptive array processing on the other
* The massively parallel systolic array sidelobe canceler processor
* Important computational accuracy issues
* An appended comparison between the Kalman and the Swerling filters, written by Dr. Peter Swerling


Tracking and Kalman Filtering Made Easy is invaluable for engineers, scientists, and mathematicians involved in tracking filter design. Its straightforward approach makes it an excellent textbook for senior-undergraduate and first-year graduate courses.

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Editorial Reviews

From the Publisher

This book is about radar tracking and the use of filters, particularly Kalman Filters. Tracking of moving targets, such as satellites, is complicated by the introduction of errors into the measurements resulting from noise and non-uniform vehicle motion. Such errors are smoothed out by filters. The book covers these filters from very simple, physical and geometric approaches.

From the Back Cover

A unique, easy-to-use guide to radar tracking and Kalman filtering

This book presents the first truly accessible treatment of radar tracking; Kalman, Swerling, and Bayes filters for linear and nonlinear ballistic and satellite tracking systems; and the voltage-processing methods (Givens, Householder, and Gram-Schmidt) for least-squares filtering to correct for computer round-off errors. Tracking and Kalman Filtering Made Easy emphasizes the physical and geometric aspects of radar filters as well as the beauty and simplicity of their mathematics. An abundance of design equations, procedures, and curves allows readers to design tracking filters quickly and test their performance using only a pocket calculator!

The text incorporates problems and solutions, figures and photographs, and astonishingly simple derivations for various filters. It tackles problems involving clutter returns, redundant target detections, inconsistent data, track-start and track-drop rules, data association, matched filtering, tracking with chirp waveform, and more. The book also covers useful techniques such as the moving target detector (MTD) clutter rejection technique. All explanations are given in clear and simple terms, including:

  • The voltage-processing approach to least-squares filtering
  • The correlation between such procedures as discrete orthogonal Legendre polynomial (DOLP) and voltage processing
  • The mathematical sameness of tracking and estimation problems on the one hand, and sidelobe canceling and adaptive array processing on the other
  • The massively parallel systolic array sidelobe canceler processor
  • Important computational accuracy issues
  • An appended comparison between the Kalman and the Swerling filters, written by Dr. Peter Swerling

Tracking and Kalman Filtering Made Easy is invaluable for engineers, scientists, and mathematicians involved in tracking filter design. Its straightforward approach makes it an excellent textbook for senior-undergraduate and first-year graduate courses.


Product Details

  • Hardcover: 504 pages
  • Publisher: Wiley-Interscience; 1 edition (April 17, 1998)
  • Language: English
  • ISBN-10: 0471184071
  • ISBN-13: 978-0471184072
  • Product Dimensions: 9.5 x 6.4 x 1.2 inches
  • Shipping Weight: 1.8 pounds (View shipping rates and policies)
  • Average Customer Review: 4.3 out of 5 stars  See all reviews (7 customer reviews)
  • Amazon Best Sellers Rank: #587,448 in Books (See Top 100 in Books)

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Customer Reviews

7 Reviews
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Average Customer Review
4.3 out of 5 stars (7 customer reviews)
 
 
 
 
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Most Helpful Customer Reviews

31 of 32 people found the following review helpful:
5.0 out of 5 stars Excellent introduction to Kalman filters, October 22, 1998
By A Customer
This review is from: Tracking and Kalman Filtering Made Easy (Hardcover)
Brookner builds up from the simplest case (a target moving at constant speed and constant heading) and gradually builds these simple equations into the simplest-case Kalman filter. And this is just in the first chapter! His approach is intuitive; he is rigorous enough, but this book is probably more for engineers than for mathematicians. He develops everything quite logically; in the very earliest going, normal algebraic equations are used and only when it makes sense does he switch to linear algebra, explaining what its advantages are. Great book! Even though the job disappeared, I kept my copy (despite the price!)
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12 of 13 people found the following review helpful:
5.0 out of 5 stars Excellent from algoritmic viewpoint, May 8, 2001
By 
"colnago" (China Lake, CA USA) - See all my reviews
This review is from: Tracking and Kalman Filtering Made Easy (Hardcover)
As a software developer, I was looking for help in developing an algorithm for tracking targets. This book fits the bill perfectly. The author starts with very basic examples, and shows step-by-step how to increase the complexity to work for a myriad of problems. He also shows how many of the filters used for tracking problems are related (mostly just special cases of a very simple algorithm), and when one should be used instead of another (or in some cases why and how to use multiple filters together). The only downside is that there are multiple typos; perhaps the publisher can fix these in the next edition.
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15 of 20 people found the following review helpful:
1.0 out of 5 stars Surprise! A dangerous book, November 22, 2002
By 
A. Noushin (MA, United States) - See all my reviews
(REAL NAME)   
This review is from: Tracking and Kalman Filtering Made Easy (Hardcover)
The author tries to make the subject easier than it can be made. He does mention general concepts but does not mention under what circumstances these hold. The danger comes when you try to implement it. Of course you get an answer but as the author puts it himself: "surprise!" the answer is wrong because you were not told about the validity of your assumptions. As an example take the issue of the discrete noise covariance matrix i.e. Q. The author gives a simple recipe for constructing this matrix. But he does not tell you that it is only valid for small step size. If you try larger time steps you are in big trouble. The book contains occasional insightful remarks. Also the same filter has several different names in the same paragraph, which can cause confusion.
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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
upchirp waveform, critically damped filter, initiation filter, target dynamics model, canceler problem, adaptive array problem, dispersive network, sidelobe canceler, driving noise vector, pulse compression network, further downrange, tentative tracks, track initiation, orthonormal transformation matrix, tracking equations, polynomial filter, radar range resolution, systolic array implementation, prediction window, target acceleration, auxiliary antenna, tracking filter, lag error, clutter returns, orthonormal coordinate system
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Raytheon Company, After Fitzgerald, Lincoln Laboratory, Simple Tracking Filters, International Radar Conference, Cobra Dane, After Prengaman, Kalman's Theorem, Chirp Radar Tracking Accuracy, Effect of Range-Doppler Coupling, Bearing Scan, Moving Target Detector Data Utilization Study
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