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Fundamentals of the Estimation Theory with Applications to the Problems of Navigation Information Processing. Part 1. Introduction to the Estimation Theory

  O.A. Stepanov
St. Petersburg, Concern CSRI Elektropribor, JSC, 2010, p.509

© Concern CSRI Elektropribor, JSC, 2010
© O.A. Stepanov, 2010
ISBN 978-5-900780-81-8

The book contains the description of general principles and approaches used to develop estimation algorithms for both linear and nonlinear problems. Much attention is given to the possibility to develop the most widespread stochastic estimators within the framework of the deterministic approach which does not involve the ideas of the probability theory. The interrelation of estimators obtained within the considered approaches with various a priori data is analyzed. The methods and algorithms developed for the constant vector are generalized as applied to the estimation of random sequences, Kalman-type algorithms being the most important of them.
The subject matter is explained using the methodic examples and problems, as well as those associated with navigation data processing. They include: estimation of polynomial coefficients, positioning by reference beacons and satellite data, update of navigation system data using external aids and integrated processing of redundant measurements.
Relevant insights into the probability theory and theory of matrix calculations are given, along with the description of applied MATLAB software.

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Journal "Giroskopiya i Navigatsiya" website (in Russian)
• based on fiber-optic gyros (FOG)
• based on micromechanical gyros (MMG)
• Shipborne speed and depth meters
• Magnetic compasses
• Communication complex Distancia-E
• Integrated Shipborne Communication and Broadcasting Complex P-409
• Trailing towed array device K-697E
• Equipment for shipborne self-powered telephone communication BTS
• Shipborne automatic digital telephone exchange P-443E
• Floating information assemblies for submarines
• Mobile aeromarine gravimeter Chekan-AM
• Multi-purpose bottomhole remote sensing system UZTS-90
• Micromechanical gyro MMG-2
• Micromechanical gyro MMG-EPTRON
• Multi-channel micro-acceleration measurement system SINUS
• Autonomous attitude control system for low-orbiting spacecrafts