Fixed-Rate Zero-Delay Source Coding for Stationary Vector-Valued Gauss-Markov Sources

Fotios Stavrou, Jan Østergaard

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

3 Citations (Scopus)
108 Downloads (Pure)


We consider a fixed-rate zero-delay source coding problem where a stationary vector-valued Gauss-Markov source is compressed subject to an average mean-squared error (MSE) dis-tortion constraint. We address the problem by considering the Gaussian nonanticipative rate distortion function (NRDF) which is a lower bound to the zero-delay Gaussian RDF. Then, we use its corresponding optimal 'test-channel' to characterize the stationary Gaus-sian NRDF and evaluate the corresponding information rates. We show that the Gaussian NRDF can be achieved by p-parallel fixed-rate scalar uniform quantizers of finite support with dithering signal up to a multiplicative distortion factor and a constant rate penalty. We demonstrate our framework with a numerical example.

Original languageEnglish
Title of host publicationProceedings - DCC 2018 : 2018 Data Compression Conference
EditorsAli Bilgin, James A. Storer, Joan Serra-Sagrista, Michael W. Marcellin
Number of pages10
Publication date19 Jul 2018
ISBN (Print)978-1-5386-4884-1
ISBN (Electronic)978-1-5386-4883-4
Publication statusPublished - 19 Jul 2018
EventData Compression Conference - Snowbird, Utah, United States
Duration: 4 Apr 20177 Apr 2017


ConferenceData Compression Conference
CountryUnited States
CitySnowbird, Utah
SeriesIEEE Data Compression Conference (DCC)


  • Fixed rate coding
  • Gauss Markov
  • vector sources
  • zero delay coding

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