The next meeting of the

National Seminar on Probability and Statistics

will be held on January 24, 2024, at 2:00 p.m. in Room 503 of the Institute of Mathematics and Informatics.

A talk on:

Wave field source localization using antenna arrays as a statistical problem of multidimensional linear system parameter estimation

will be delivered by

Alexander Varypaev (National Institute of Geophysics, Geodesy and Geography, BAS).

Abstract. The problem of statistical estimation of the coordinates of wave field sources from observations masked by additive random noise is considered. A likelihood-based estimate of source parameters is proposed for an unknown deterministic source function and additive noise correlated in time and space. The property of this estimate to suppress spatially correlated noise is mathematically justified. A statistical justification for the currently popular and robust SRP-PHAT M-estimate of the unknown source parameter is provided. Using the method of independent Monte Carlo tests, several M-estimates of source coordinates are compared for different additive noise properties.