Publishing house Radiotekhnika

"Publishing house Radiotekhnika":
scientific and technical literature.
Books and journals of publishing houses: IPRZHR, RS-PRESS, SCIENCE-PRESS

Тел.: +7 (495) 625-9241


Parametrical decomposition construction of two-dimensional signals on the basis of Prony’s method modifications


E.V. Verstakov, V.D. Zakharchenko, D.S. Gavrin

In a number of applied tasks for the parametrical experimental data description one-dimensional models are used. However some applications require the researched data description of higher dimension, for example, in tasks of two-dimensional spectrum analysis. Two-dimensional spectral analysis can be used for space-spatial data sets - image processing; spatio-temporal data sets - the processing sonar, seismic and radar signals in the case of the synthesized aperture, time-temporal data sets - the analysis of radar pulse repetition interval, depending on the moment of their arrival. Two-dimensional data processing leads to an increase in comparison with the one-dimensional case the computational difficulties, as well as the problem of the spread of many dimensional methods for two-dimensional case. Modifications of a classical Prony’s method for decomposition parameters searching of the two-dimensional signal provided by the sum of exponents are offered. For potential accuracy determination of decomposition parameters estimation of a two-dimensional signal the Cramer-Rao system of inequalities by criterion of a mean squared error minimum was used. For each parameter the Cramer-Rao bound estimation was received. Statistical modeling showed that the offered algorithms aren't optimum and the received parameters estimates of a two-dimensional signal can be specified.

© Издательство «РАДИОТЕХНИКА», 2004-2017            Тел.: (495) 625-9241                   Designed by [SWAP]Studio