Abstract
We discuss properties of the “beamsplitter addition” operation, which provides a non-standard scaled convolution of random variables supported on the non-negative integers. We give a simple expression for the action of beamsplitter addition using generating functions. We use this to give a self-contained
and purely classical proof of a heat equation and de Bruijn identity, satisfied when one of the variables is geometric.
and purely classical proof of a heat equation and de Bruijn identity, satisfied when one of the variables is geometric.
Original language | English |
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Title of host publication | 2017 IEEE International Symposium on Information Theory (ISIT 2017) |
Publisher | Institute of Electrical and Electronics Engineers (IEEE) |
Pages | 898-902 |
Number of pages | 5 |
ISBN (Electronic) | 9781509040964 |
ISBN (Print) | 9781509040971 |
DOIs | |
Publication status | Published - Aug 2017 |
Publication series
Name | |
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ISSN (Print) | 2157-8117 |
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Dive into the research topics of 'A de Bruijn identity for discrete random variables'. Together they form a unique fingerprint.Profiles
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Professor Oliver T Johnson
- School of Mathematics - Head of School, Professor of Information Theory
- Statistical Science
- Probability, Analysis and Dynamics
Person: Academic , Member, Professional and Administrative