An I-MMSE based graphical representation of rate and equivocation for the Gaussian broadcast channel

Bustin, Ronit; Schaefer, Rafael F.; Poor, H. Vincent; Shamai, Shlomo

doi:10.1109/cns.2015.7346810

Cited by 5 publications

(7 citation statements)

References 12 publications

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“…The study in [61] provides an interesting interpretation for the basics of the broadcast approach [25] from the I-MMSE perspective.…”

Section: The Siso Broadcast Approach -Preliminariesmentioning

confidence: 97%

The Broadcast Approach in Communication Networks

Tajer,

Steiner,

Shamai

2021

Preprint

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This paper reviews the theoretical and practical principles of the broadcast approach to communication over state-dependent channels and networks in which the transmitters have access to only the probabilistic description of the time-varying states while remaining oblivious to their instantaneous realizations. When the temporal variations are frequent enough, an effective long-term strategy is adapting the transmission strategies to the system's ergodic behavior. However, when the variations are infrequent, their temporal average can deviate significantly from the channel's ergodic mode, rendering a lack of instantaneous performance guarantees. To circumvent a lack of short-term guarantees, the broadcast approach provides principles for designing transmission schemes that benefit from both shortand long-term performance guarantees. This paper provides an overview of how to apply the broadcast approach to various channels and network models under various operational constraints.

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“…The study in [61] provides an interesting interpretation for the basics of the broadcast approach [25] from the I-MMSE perspective.…”

Section: The Siso Broadcast Approach -Preliminariesmentioning

confidence: 97%

The Broadcast Approach in Communication Networks

Tajer,

Steiner,

Shamai

2021

Preprint

Self Cite

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“…The study in [ 61 ] provides an interesting interpretation for the basics of the broadcast approach [ 25 ] from the I-MMSE perspective.…”

Section: Variable-to-fixed Channel Codingmentioning

confidence: 99%

The Broadcast Approach in Communication Networks

Tajer

Steiner

Shamai

2021

Entropy

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In this paper we review the theoretical and practical principles of the broadcast approach to communication over state-dependent channels and networks in which the transmitters have access to only the probabilistic description of the time-varying states while remaining oblivious to their instantaneous realizations. When the temporal variations are frequent enough, an effective long-term strategy is adapting the transmission strategies to the system’s ergodic behavior. However, when the variations are infrequent, their temporal average can deviate significantly from the channel’s ergodic mode, rendering a lack of instantaneous performance guarantees. To circumvent a lack of short-term guarantees, the broadcast approach provides principles for designing transmission schemes that benefit from both short- and long-term performance guarantees. This paper provides an overview of how to apply the broadcast approach to various channels and network models under various operational constraints.

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“…An immediate such example would be adding "disturbance" constraints in terms of MMSEs. Another extension which has been also considered in [88] is the problem of "secrecy outside the bounded range" [89]. For this setting complete secrecy rate can be enhanced by using the inherent randomness in the message which results from the fact that it contains an additional "unintended" message which is not necessarily reliably decoded.…”

Section: Theorem 14 ([88]mentioning

confidence: 99%

“…There might be, of course, additional requirements, but so far the application of the I-MMSE approach as done in [34,70,87,88], was able to analyze these types of requirements. We will now give the main results from which one can consider other specific cases as discussed at the end of this section.…”

Section: Multi-receiver Snr-evolutionmentioning

confidence: 99%

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A View of Information-Estimation Relations in Gaussian Networks

Dytso

Bustin

Poor

et al. 2017

Entropy

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Abstract:Relations between estimation and information measures have received considerable attention from the information theory community. One of the most notable such relationships is the I-MMSE identity of Guo, Shamai and Verdú that connects the mutual information and the minimum mean square error (MMSE). This paper reviews several applications of the I-MMSE relationship to information theoretic problems arising in connection with multi-user channel coding. The goal of this paper is to review the different techniques used on such problems, as well as to emphasize the added-value obtained from the information-estimation point of view.

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An I-MMSE based graphical representation of rate and equivocation for the Gaussian broadcast channel

Cited by 5 publications

References 12 publications

The Broadcast Approach in Communication Networks

The Broadcast Approach in Communication Networks

The Broadcast Approach in Communication Networks

A View of Information-Estimation Relations in Gaussian Networks

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