Failure of successive refinement for symmetric Gaussian mixtures

  • Authors:

  • J. Chow;T. Berger

  • Affiliations:

  • Sch. of Electr. Eng., Cornell Univ., Ithaca, NY;-

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

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Abstract

We show that information refinement fails for a continuous alphabet source whose input distribution is the symmetric mixture of normal densities with means -μ and μ and common variance σ 2