Studies of the accuracy characteristics of a spectral-finite signal filtering algorithm for an integrated measuring system on board an aircraft

Аuthors

Fedorinov A. Y.

Saint Petersburg State University of Aerospace Instrumentation, 67, Bolshaya Morskaya str., Saint Petersburg, 190000, Russia

e-mail: fedorinov_asperant_accaunt@mail.ru

Abstract

The modern development of technology in the field of aeronautics requires high reliability and accuracy from the instruments used, but information processing methods also play an important role. Today, there are various signal processing methods such as Kalman filtering, Wiener filtering, finite-time filtering, and spectral-finite filtering. Spectral-finite methods of signal processing (filtering) are investigated. This approach is based on the orthogonal projection theorem and is optimal by the criterion of the minimum amount of error variance. The approach is capable of producing linear recurrent estimates of non-Markov signals with correlated and uncorrelated interference. The estimation algorithms obtained on the basis of this approach coincide in accuracy with Kalman filtering and are applicable to a wide class of signal and interference models. The approach is being investigated on a complex system (two or more measurement channels of the same parameter), integration can improve the accuracy of measurements. It should be noted that the choice of an integrated system is not accidental, and is due to the following advantages - the use of two measurement channels in signal processing, whether navigation, acoustic or radio signals imply an increase in the quality and reliability of the information received. The developed algorithms are simpler in their implementation, both with full and incomplete a priori certainty, noise-resistant and robust. The processes were modeled in the Mathcad environment. Currently, the following algorithms have been implemented and studied: finite-time and spectral-finite; with/without feedback; adaptive / non-adaptive; with or without known interference, and their combinations.

Keywords:

spectral-finite estimation of navigation signals, optimality, universality of application, orthogonal projection theorem, Duba theorem

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