Message and Causal Asymmetric State Transmission over the State-Dependent Degraded Broadcast Channel

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Abstract

We study data transmission and asymmetric state communication over a state-dependent two-user discrete memoryless degraded broadcast channel. In our model the encoder, to whom the state information is available either strictly-causally or causally, in addition to transmitting data reliably to each of the users must also provide the 'higher quality' user with a description of the memoryless state sequence with some defined fidelity. The capacity region - i.e. the set of attainable rate-pairs given a maximal-allowed distortion when the state reconstruction fidelity is measured using a single-letter distortion function - is computed in the absence as well as in the presence of feedback from the 'higher quality' output to the encoder. In the no-feedback cases we also study the constrained source-coding problem wherein the encoder is required to form a reconstruction that should predict the decoder's reconstruction within a given distortion, and establish the respective capacity regions. Finally, in the strictly-causal setting without feedback and when the encoder is required to form a reconstruction that should coincide with the decoder's reconstruction with probability close to one we characterize the Common-Reconstruction capacity region.

Original languageEnglish
Article number9046827
Pages (from-to)3342-3365
Number of pages24
JournalIEEE Transactions on Information Theory
Volume66
Issue number6
DOIs
StatePublished - Jun 2020

Bibliographical note

Publisher Copyright:
© 1963-2012 IEEE.

Keywords

  • Capacity region
  • causal
  • degraded broadcast channel (DBC)
  • distortion
  • feedback
  • side-information
  • state-dependent (SD)

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