Speaker: Götz Pfander, Jacobs University Bremen
How to sample a stochastic operator?
The threat of radio guided Russian missiles and the Berlin Blockade motivated the United States in the late 40s to invest into the design of signals that interfere with wireless communications and of communication systems that are resistant to such jamming signals. In the 50s it became apparent that the performance of the developed jamming resistant spread spectrum communications systems hinges on precise knowledge of the time-varying multi-path communications channel at hand. The necessity of channel identification is the launching point of operator sampling theory which has since been advanced by collaborations involving David Walnut of George Mason University.
Following an historical introduction (including non-military applications), basic ideas of sampling of so-called bandlimited operators are presented. We then discuss the stochastic setting and derive a novel estimator for stationary stochastic operators. The estimator uses recent findings in quantum information theory.
Department of Mathematical Sciences
George Mason University
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