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Aerospace Instrument-Making

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DIGITAL ODOMETER BASED ON A MICROMECHANICAL ACCELEROMETER UNIT - LOW-PASS FILTER AND INTEGRAL HILBERT TRANSFORM IN THE PROBLEM OF CALCULATING LINEAR VELOCITY AND PATH
A.A. Dzuev, V.V. Tikhomirov, E.V. Babaev, M.V. Konash, A.V. Nekrasov, D.V. Furtas, P.Yu. Kretov

The article is devoted to the development of a digital odometer based on the micromechanical accelerometer unit (AU), rigidly mounted on the wheel of a ground moving object (GMO). The mathematical model of AU measurements is given in the work. The analysis of the structure of signals from the output of the AU during the movement of GMO. Synthesized functional schemes that implement the digital odometer algorithm. The first scheme includes a low-pass filter (LPF) and provides the calculation of the relative linear velocity and path for the measurements of two accelerometers. The second scheme includes a LPF, a Hilbert digital transformer (HDT), a median filter and provides a relative linear velocity and path reckoning from the measurements of one or more accelerometers. A feature of the proposed functional schemes that implement the digital odometer algorithm is the ability to mount the AU at an arbitrary distance from the center of rotation of the wheel and with arbitrary orientation angles of the AU relative to the construction axes of the GMO wheel. In this work, error equations are obtained that relate the errors of the relative linear velocity calculus and the path with the parameters of the rotation of the GMO wheel, the instrumental errors of the AU, the amplitude and phase error of the low-pass filter and the HDT, respectively.
Key words: ground moving object, odometer, micromechanical accelerometer unit, low-pass filter, LPF, Hilbert integral transform, Hilbert digital transformer, HDT.


DOI: 10.25791/aviakosmos.01.2020.1136

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