On the rate-distortion function of random vectors and stationary sources with mixed distributions

  • Authors:
  • A. Gyorgy;T. Linder;K. Zeger

  • Affiliations:
  • Fac. of Electr. Eng. & Inf., Tech. Univ. Budapest;-;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

The asymptotic (small distortion) behavior of the rate-distortion function of an n-dimensional source vector with mixed distribution is derived. The source distribution is a finite mixture of components such that under each component distribution a certain subset of the coordinates have a discrete distribution while the remaining coordinates have a joint density. The expected number of coordinates with a joint density is shown to equal the rate-distortion dimension of the source vector. Also, the exact small distortion asymptotic behavior of the rate-distortion function of a special but interesting class of stationary information sources is determined