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Abstract Details
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Activity Number:
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274
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Type:
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Invited
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Date/Time:
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Tuesday, July 31, 2012 : 8:30 AM to 10:20 AM
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Sponsor:
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Memorial
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| Abstract - #306946 |
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Title:
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The Relationship Between Reliable Feedback Communication and Nonlinear Filter Stability
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Author(s):
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Todd Coleman*+
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Companies:
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UC San Diego
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Address:
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, , ,
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Keywords:
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nonlinear filter ;
feedback information theory ;
Bayesian estimation
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Abstract:
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In this talk we discuss an interplay between reliable feedback communication of a message in a continuum, and the stability of the nonlinear filter. Specifically, we demonstrate that any feedback communication encoder that maximizes mutual information can achieve reliable communication if and only if a sigma-algebra condition holds. This condition is strikingly similar to that of the stability of the nonlinear filter. By further showing how these two problems are related, we provide a sufficient condition (e.g. ergodicity of a Markov process and non-degeneracy of a noisy channel) that holds for both scenarios. We will discuss how Blackwell's work on filter stability helped provide insight into these connections.
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The address information is for the authors that have a + after their name.
Authors who are presenting talks have a * after their name.
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