Communication With Noncausal Message-Dependent Bi-Terminal Help
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Date
2025-04
Publication Type
Journal Article
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Abstract
The capacity of a state-dependent discrete memoryless channel is derived for the setting where a message-cognizant rate-limited helper observes the state sequence noncausally and provides its description to both encoder and decoder. Said capacity is not increased if the channel outputs are fed back to the encoder via a noiseless feedback link. The analogous capacity is derived for the Gaussian channel, where the state corresponds to the additive noise. In this setting the feedback link - while not increasing capacity - eliminates the need for the helper's cognition of the transmitted message. Moreover, in this setting, the results on capacity also hold for the cutoff rate and the listsize capacity.
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published
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Journal / series
Volume
71 (4)
Pages / Article No.
2329 - 2340
Publisher
IEEE
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Software
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Date collected
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Subject
Capacity; cutoff rate; feedback; Gaussian channel; helper; listsize capacity; state-dependent channel
Organisational unit
03529 - Lapidoth, Amos / Lapidoth, Amos
Notes
Funding
215090 - An Information-Theoretic Study of Channel State Quantization (SNF)