Speaker:

Xavier Mestre, CTTC, Barcelona

Title:

Using random matrix theory in array processing applications: the small sample size regime

Abstract:

Traditional array signal processing has been based on the assumption that the number of array observations is higher than the number of available antennas or sensors by orders of magnitude. However, the practical limitations of these algorithms often arise in situations where these two quantities (number of samples and number of antennas) are comparable in magnitude. This is the case, for instance, of the traditional problem of estimating the direction of arrival using an array of antennas, where the resolution limitations arise precisely in the small sample size regime (low number of samples per antenna). Random matrix theory can be very useful in order to characterize the performance of these algorithms, and also to improve their performance in practical finite sample size situations. In this talk, we will present some array signal processing problems that can be successfully addressed by the use of random matrix theory.