Back to Departmental Colloquium: Fall 2006
Departmental Colloquium
Date: Thursday, Nov 2, 2006
Time: 4:15PM
Location: JWB 335
Cancelled
Thomas Strohmer
University of California, Davis
Title |
Can you hear me now? From mobile communications to noncommutative harmonic analysis |
Abstract |
Unlike classical telecommunication, whose fundamental principles can be described via commutative harmonic analysis, the analysis and design of advanced wireless communication systems requires methods from noncommmutative harmonic analysis. We will see that the modeling of the mobile radio channel leads to interesting problems in pseudodifferential operator theory. Their treatments lies outside the standard theory of PDEs, and requires tools from time-frequency analysis and Banach algebra theory. For instance, I will show that Gabor systems provide an optimally sparse representation of these non-standard pseudodifferential operators. These results can even be generalized to the abstract setting of locally compact abelian groups. Finally, I will show how the theoretical framework presented in this talk leads to powerful numerical algorithms for designing multicarrier communication systems, which has already been utilized in practice. –> |