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Location Estimation from the Ground Up (Paperback)
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Location Estimation from the Ground Up (Paperback)
Series: Fundamentals of Algorithms
Expected to ship within 12 - 19 working days
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The location of an object can often be determined from indirect
measurements using a process called estimation. This book explains
the mathematical formulation of location-estimation problems and
the statistical properties of these mathematical models. It also
presents algorithms that are used to resolve these models to obtain
location estimates, including the simplest linear models, nonlinear
models (location estimation using satellite navigation systems and
estimation of the signal arrival time from those satellites),
dynamical systems (estimation of an entire path taken by a
vehicle), and models with integer ambiguities (GPS location
estimation that is centimeter-level accurate). Location Estimation
from the Ground Up clearly presents analytic and algorithmic topics
not covered in other books, including simple algorithms for Kalman
filtering and smoothing, the solution of separable nonlinear
optimization problems, estimation with integer ambiguities, and the
implicit-function approach to estimating covariance matrices when
the estimator is a minimizer or maximizer. It takes a unified
approach to estimation while highlighting the differences between
classes of estimation problems. The only book on estimation written
for math and computer science students and graduates, it includes
problems at the end of each chapter, many with solutions, to help
readers deepen their understanding of the material and guide them
through small programming projects that apply theory and algorithms
to the solution of real-world location-estimation problems. The
book's core audience consists of engineers, including software
engineers and algorithm developers, and graduate students who work
on location-estimation projects and who need help translating the
theory into algorithms, code, and deep understanding of the problem
in front of them. Instructors in mathematics, computer science, and
engineering may also find the book of interest as a primary or
supplementary text for courses in location estimation and
navigation.
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