Time-Frequency Seminar

A wireless communication channel is often modeled as a pseudodifferential operator with the Weyl symbol related to the time-varying impulse response. In this talk we will mention other symbolic calculus, where the symbol is associated to the time-scale rather than the time-frequency shift operators.

Then we analyze how communication channels (read: operators) behave under special experimental conditions;  e.g. sending band-limited signals and observing them on a finite time horizon. We show how such operator "sandwiches" expand into series with special convergence properties. These expansions
constitute the canonical channel models.

In communication theory canonical channel models are used to build RAKE receivers. In this talk we will be concerned mainly with the functional analysis aspects of such decomposition. These results are part of a joint work with S.Rickard, V.Poor, and S.Verdu.

Time-Frequency Brown Bag Seminar's homepage.