Time-Frequency Analysis: From Wireless Communications to Abstract Harmonic Analysis

  • Date: 12/07/2006

Karl-Heinz Groechenig (University of Vienna)


University of Calgary


In the talk I will discuss the relation between problems in wireless
communications and time-frequency analysis. I will explain the basic
principle of OFDM (orthogonal frequency division multiplexing) and its
formulation in time-frequency analysis. Surprisingly, the so-called
pulse-shaping problem is equivalent to a problem on twisted
convolution, and its general solution requires experience in and tools
from abstract harmonic analysis. Similarly, the modeling of the
transmission channel leads to new and interesting problems on
pseudodifferential operators. Their treatment is outside the standard
theory of PDE and requires a genuine time-frequency approach. The talk
is intended for a general audience and does not require any

Other Information: 

10th Anniversary Speaker Series 2006