Polynomial Singular Value Decompositions of a Family of Source-Channel Models
Name
Polynomial SVD.pdf
Description
Accepted version
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351.55 KB
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Checksum (MD5)
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Author(s)
Makur, Anuran
Zheng, Lizhong
Date Issued
December 2017
Journal
IEEE Transactions on Information Theory
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Makur, Anuran and Lizhong Zheng. "Polynomial Singular Value Decompositions of a Family of Source-Channel Models." IEEE Transactions on Information Theory 63, 12 (December 2017): 7716 - 7728. © 2017 IEEE
Version
Author's final manuscript
Abstract
In this paper, we show that the conditional expectation operators corresponding to a family of source-channel models, defined by natural exponential families with quadratic variance functions and their conjugate priors, have orthonormal polynomials as singular vectors. These models include the Gaussian channel with Gaussian source, the Poisson channel with gamma source, and the binomial channel with beta source. To derive the singular vectors of these models, we prove and employ the equivalent condition that their conditional moments are strictly degree preserving polynomials.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1109/tit.2017.2760626
