NEW TECHNOLOGIES OF MEASUREMENT INFORMATION ANALYSIS AND PROCESSING ON THE BASIS OF THE ACHIEVEMENTS IN THE REALMS OF TIME-FREQUENCY ANALYSIS AND WAVELET THEORY

  1. LETI

The problem of complex dynamic objects tracking encountered, when testing new samples of space and
rocket hardware or new aircraft require us to use a number of specially constructed observation facilities: radio,
optical, GPS, etc. For the purpose of calculating trajectory parameters it is necessary to employ special software
and mathematical base. This is connected with the features of instruments involved and with the conditions
under which a particular experiment is conducted. Special methods and software systems are also needed for
dealing with a number of tasks that arise in geology and geophysics. The presence of an enormous number
of disturbing factors and heightened requirements to the accuracy and reliability of measurements led to the
development of mathematical tools and methods aimed at dealing with random processes and intended to rest
upon advanced achievements in several mathematical areas. These areas encompass mathematical statistics,
time series analysis, time-frequency analysis, wavelet theory, artificial intelligence and other knowledge domains.
Processing and analysis of measurement data on the basis of the contemporary achievements in time-frequency
analysis, wavelet technology and other adaptive methods along with time series models proved effective and
reliable when processing real data of large volume containing noise, outliers, misses and other perturbing factors.
The robustization of the methods allowed us to use them under the conditions of the measurements errors.