Expurgated Bounds for the Asymmetric Broadcast Channel

Ran Averbuch, Nir Weinberger, Neri Merhav

Research output: Contribution to journalArticlepeer-review


This paper contains two main contributions concerning the expurgation of hierarchical ensembles for the asymmetric broadcast channel. The first is an analysis of the optimal maximum likelihood (ML) decoders for the weak and strong user. Two different methods of code expurgation will be used, that will provide two competing error exponents. The second is the derivation of expurgated exponents under the generalized stochastic likelihood decoder (GLD). We prove that the expurgated exponents achieved for the hierarchical ensemble under GLD decoding are at least as good as the maximum between the random coding error exponents derived in an earlier work by Averbuch and Merhav (2018) and one of our ML-based expurgated exponents.

Original languageEnglish
Article number8637975
Pages (from-to)3412-3435
Number of pages24
JournalIEEE Transactions on Information Theory
Issue number6
StatePublished - Jun 2019
Externally publishedYes


  • Asymmetric broadcast channel
  • error exponent
  • expurgated exponent
  • likelihood decoder


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