Rate splitting is approximately optimal for fading Gaussian interference channels

Sebastian, Joyson; Karakus, Can; Diggavi, Suhas; Wang, I-Hsiang

doi:10.1109/allerton.2015.7447021

Cited by 9 publications

(7 citation statements)

References 10 publications

(23 reference statements)

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“…Characterizing the capacity of FF-IC without CSIT has been an open problem. In Shorter versions of this work appeared in [1], [2] with outline of proofs. This version has complete proofs.…”

Section: Introductionmentioning

confidence: 99%

Approximate Capacity of Fast Fading Interference Channels With no Instantaneous CSIT

Sebastian

Karakus

Diggavi

2018

IEEE Trans. Commun.

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We develop a characterization of fading models, which assigns a number called logarithmic Jensen's gap to a given fading model. We show that as a consequence of a finite logarithmic Jensen's gap, approximate capacity region can be obtained for fast fading interference channels (FF-IC) for several scenarios. We illustrate three instances where a constant capacity gap can be obtained as a function of the logarithmic Jensen's gap. Firstly for an FF-IC with neither feedback nor instantaneous channel state information at transmitter (CSIT), if the fading distribution has finite logarithmic Jensen's gap, we show that a rate-splitting scheme based on average interference-to-noise ratio (inr) can achieve its approximate capacity. Secondly we show that a similar scheme can achieve the approximate capacity of FF-IC with feedback and delayed CSIT, if the fading distribution has finite logarithmic Jensen's gap.Thirdly, when this condition holds, we show that point-to-point codes can achieve approximate capacity for a class of FF-IC with feedback. We prove that the logarithmic Jensen's gap is finite for common fading models, including Rayleigh and Nakagami fading, thereby obtaining the approximate capacity region of FF-IC with these fading models.

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“…Characterizing the capacity of FF-IC without CSIT has been an open problem. In Shorter versions of this work appeared in [1], [2] with outline of proofs. This version has complete proofs.…”

Section: Introductionmentioning

confidence: 99%

Approximate Capacity of Fast Fading Interference Channels With no Instantaneous CSIT

Sebastian

Karakus

Diggavi

2018

IEEE Trans. Commun.

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“…With two users, we need at least two symbols for training. The approximate capacity region of coherent fast fading IC is given in [20]. The gDoF for the case which uses 2 symbols for training can 8 be easily obtained from the gDoF region for the coherent case with a multiplication factor of (1 − 2/T ).…”

Section: A Discussionmentioning

confidence: 99%

Generalized Degrees of Freedom of Noncoherent Diamond Networks

Sebastian

2020

IEEE Trans. Inform. Theory

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We study the generalized degrees of freedom (gDoF) of the block-fading noncoherent 2-user interference channel (IC) with a coherence time of T symbol durations and symmetric fading statistics.We demonstrate that a natural training-based scheme, to operate the noncoherent IC, is suboptimal in several regimes. As an alternate scheme, we propose a new noncoherent rate-splitting scheme. We also consider treating interference-as-noise (TIN) scheme and a time division multiplexing (TDM) scheme.We observe that a standard training-based scheme for IC is outperformed by one of these schemes in several regimes: our results demonstrate that for low average interference-to-noise ratio (INR), TIN is best; for high INR, TDM and the noncoherent rate-splitting give better performance. We also study the noncoherent IC with feedback and propose a noncoherent rate-splitting scheme. Again for the feedback case as well, our results demonstrate that a natural training-based scheme can be outperformed by other schemes.

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“…Representative studies in the high SNR regime include characterizing the DoF region for the two-user multi-antenna interference channel in [ 139 , 140 , 141 , 142 , 143 , 144 , 145 ]; blind interference alignment in [ 146 , 147 , 148 , 149 , 150 , 151 , 152 , 153 , 154 , 155 ]; interference management via leveraging network topologies in [ 156 , 157 ]; and ergodic interference channels in [ 158 , 159 , 160 ]. In the non-asymptotic SNR regime, the studies are more limited, and they include analysis on the capacity region of the erasure interference channel in [ 161 , 162 ]; the compound interference channel in [ 163 ]; ergodic capacity for the Z-interference channel in [ 164 ]; ergodic capacity of the strong and very strong interference channels in [ 165 , 166 ]; and approximate capacity region for the fast-fading channels [ 167 , 168 ].…”

Section: The Interference Channelmentioning

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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Rate splitting is approximately optimal for fading Gaussian interference channels

Cited by 9 publications

References 10 publications

Approximate Capacity of Fast Fading Interference Channels With no Instantaneous CSIT

Approximate Capacity of Fast Fading Interference Channels With no Instantaneous CSIT

Generalized Degrees of Freedom of Noncoherent Diamond Networks

The Broadcast Approach in Communication Networks

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