On The Han–Kobayashi Region for theInterference Channel

Chong, Hon-Fah; Motani, Mehul; Garg, H.K.; Gamal, Hesham El

doi:10.1109/tit.2008.924720

Cited by 266 publications

(360 citation statements)

References 14 publications

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“…We define G as a subset of C HK where Gaussian distributions are used for codebook generation. Using a shorter description of C HK obtained in [9], G can be described as follows.…”

Section: Han-kobayashi Achievable Regionmentioning

confidence: 99%

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Capacity bounds for the Gaussian Interference Channel

Motahari¹,

Khandani²

2008

2008 IEEE International Symposium on Information Theory

197

408

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The capacity region of the two-user Gaussian Interference Channel (IC) is studied. Three classes of channels are considered: weak, one-sided, and mixed Gaussian ICs. For the weak Gaussian IC, a new outer bound on the capacity region is obtained that outperforms previously known outer bounds. The channel sum capacity for some certain range of the channel parameters is derived. It is shown that when Gaussian codebooks are used, the full Han-Kobayashi achievable rate region can be obtained by using the naive Han-Kobayashi achievable scheme over three frequency bands (equivalently, three subspaces). For the one-sided Gaussian IC, a new proof for Sato's outer bound is presented. We derive the full Han-Kobayashi achievable rate region when Gaussian code books are utilized. For the mixed Gaussian IC, a new outer bound is obtained that again outperforms previously known outer bounds. For this case, the channel sum capacity for all ranges of parameters is derived. It is proved that the full Han-Kobayashi achievable rate region using Gaussian codebooks is equivalent to that of the one-sided Gaussian IC for a particular range of the channel gains.

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“…We define G as a subset of C HK where Gaussian distributions are used for codebook generation. Using a shorter description of C HK obtained in [9], G can be described as follows.…”

Section: Han-kobayashi Achievable Regionmentioning

confidence: 99%

“…To characterize G 1 , we distinguish between three cases: (9) and (10) are redundant for all range of parameters and can be removed. Hence, G 0 consists of all rate pairs (R 1 , R 2 ) satisfying…”

Section: Han-kobayashi Achievable Regionmentioning

confidence: 99%

Capacity bounds for the Gaussian Interference Channel

Motahari¹,

Khandani²

2008

2008 IEEE International Symposium on Information Theory

197

408

View full text Add to dashboard Cite

show abstract

“…Using steps similar to those used in [12,Lemma 3], the above decoding process can be shown to be successful if, for each (j 1 , j 2 ) ∈ {1, . .…”

Section: Similarly For Eachmentioning

confidence: 99%

“…To achieve a rate pair (R 1 , R 2 ), an element of R P j1,j2 but not that of R P * j1,j2 , we use steps similar to those used in [12,Lemma 2]. Precisely, the receivers choose r(j 1 , j 2 ) or s(j 1 , j 2 ) as zero and successful decoding takes place if the rate pair (R 1 , R 2 ) ∈ R P j1,j2 for the original choice of r(j 1 , j 2 ) and s(j 1 , j 2 ) for each (j 1 , j 2 ).…”

Section: Similarly For Eachmentioning

confidence: 99%

Capacity to within one bit of a class of Gaussian multicast channels with interference

Sridharan

Lozano²,

Viswanathan

et al. 2008

2008 IEEE Information Theory Workshop

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Abstract-This paper studies the fundamental operational limits of a class of Gaussian multicast channels with an interference setting. In particular, the paper considers two base stations multicasting separate messages to distinct sets of users. In the presence of channel state information at the transmitters and at the respective receivers, the capacity region of the Gaussian multicast channel with interference is characterized to within one bit. At the crux of this result is an extension to the multicast channel with interference of the Han-Kobayashi or the ChongMotani-Garg achievable region for the interference channel.

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“…The interference channel (IC), in its most general form, was first proposed by Claude E. Shannon in [2]. The G-IC is a particular case that has been studied by several authors, see for instance [3]- [13] and references therein. However, despite this active research, the capacity region of the G-IC is characterized only in some special cases [4].…”

Section: Introductionmentioning

confidence: 99%

When Does Output Feedback Enlarge the Capacity of the Interference Channel?

Quintero

Perlaza

Esnaola

et al. 2018

IEEE Trans. Commun.

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Abstract-In this paper, the benefits of channel-output feedback in the Gaussian interference channel (G-IC) are studied under the effect of additive Gaussian noise. Using a linear deterministic (LD) model, the signal to noise ratios (SNRs) in the feedback links beyond which feedback plays a significant role in terms of increasing the individual rates or the sum-rate are approximated. The relevance of this work lies on the fact that it identifies the feedback SNRs for which in any G-IC one of the following statements is true: (a) feedback does not enlarge the capacity region; (b) feedback enlarges the capacity region and the sum-rate is greater than the largest sum-rate without feedback; and (c) feedback enlarges the capacity region but no significant improvement is observed in the sum-rate.

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On The Han–Kobayashi Region for theInterference Channel

Cited by 266 publications

References 14 publications

Capacity bounds for the Gaussian Interference Channel

Capacity bounds for the Gaussian Interference Channel

Capacity to within one bit of a class of Gaussian multicast channels with interference

When Does Output Feedback Enlarge the Capacity of the Interference Channel?

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