Events Calendar

Algebraic Symmetries of Digital Signal Processing

Speaker: Shamgar Gurevich, University of Wisconsin - Madison

Talk Title: Algebraic Symmetries of Digital Signal Processing

Abstract: We will explore basic algebraic symmetries of spaces of sequences that are used in digital signal processing (DSP). There are two types of symmetries: (1) The Heisenberg (after Werner Heisenberg) symmetries, which generalize the time-shift and frequency-shift operators. (2) The Weil (after Andrei Weil) operators which generalize the discrete Fourier transform (DFT). We will look on two applications: (I) Construction of the Heisenberg (Chirp) sequences---which are commonly used in radar systems---and relations among them. (II) Efficient calculation of the Radar Ambiguity Function on a general line in the discrete time-frequency plane. These applications will be used by Alexander Fish in his lecture "The Cross Method for Multi-Target Radar Detection".

The lecture is part from a joint work with: Alexander Fish (Sydney), Akbar Sayeed (EE, Madison), Oded Schwartz (EECS, Berkeley).


Biography: Shamgar Gurevich is a faculty in the mathematics department of the University of Wisconsin Madison. He is doing research in topics of algebra which are related to sequences design for wireless communication and related algorithms for GPS, Radar, and Communication. He would like to interact with students and researchers in electrical engineering.

Host: Urbashi Mitra, x04667, ubli@usc.edu

Location: Hughes Aircraft Electrical Engineering Center (EEB) - 248

Audiences: Everyone Is Invited

Contact: Gerrielyn Ramos