Distortion rate function of cyclo-stationary Gaussian processes

Alon Kipnis, Andrea J. Goldsmith

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

An expression for the distortion rate function of cyclostationary Gaussian processes is derived. This expression is given by water-filling over the eigenvalues of a spectral density matrix associated with the source. For processes in continuous time, the distortion rate function is given in terms of a limiting function of the eigenvalues of this matrix. A lower bound on the distortion-rate function, which does not involve eigenvalue computation, is also derived. This distortion rate function is evaluated for the processes obtained by modulating a Gaussian stationary narrowband pulse by a deterministic sine wave, and is shown to be equal to the distortion rate function of the stationary narrowband pulse.

Original languageEnglish (US)
Title of host publication2014 IEEE International Symposium on Information Theory, ISIT 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2834-2838
Number of pages5
ISBN (Print)9781479951864
DOIs
StatePublished - 2014
Externally publishedYes
Event2014 IEEE International Symposium on Information Theory, ISIT 2014 - Honolulu, HI, United States
Duration: Jun 29 2014Jul 4 2014

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8095

Other

Other2014 IEEE International Symposium on Information Theory, ISIT 2014
CountryUnited States
CityHonolulu, HI
Period6/29/147/4/14

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics

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