Achievable rate regions for a three‐user multiple access channel with partial side information

Bahmani, Elham; Hodtani, Ghosheh Abed

doi:10.1002/ett.2688

Cited by 6 publications

(9 citation statements)

References 25 publications

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“…For some multi-user channels such as GDD multiple access channel (GDD-MAC) with full SI [12] and GDD-MAC with partial SI [15], it has been shown that lattice strategy has better performance than Costa's strategy. Moreover, similar to [13], in [15], [16], and [20], it has been shown that the partial knowledge of interference reduces the capacity.…”

Section: Introductionmentioning

confidence: 89%

“…Costa's DPC and lattice coding are two main coding strategies for interference mitigation in the linear Gaussian channels with known additive Gaussian interference. There are some examples that show that lattice strategies have better performance or at least have the same performance as the Costa's strategies . The probable reason of superiority of the lattice codes (or linear structured binning) for the linear Gaussian channels is the linear structure of these codes because the model considered for the Gaussian channels is linear and also the interference and noise sequences in these channels are additive white Gaussian.…”

Section: Introductionmentioning

confidence: 99%

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Capacity region of the Gaussian doubly dirty two‐way channel in the presence of partial side information

Monemizadeh

Hodtani

2014

Trans. Emerging Tel. Tech.

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In this paper, we characterize capacity region of the Gaussian doubly dirty two-way channel (TWC) with partial side information at users, where there are two additive interference signals that, although similar to the channel noise sequences, corrupt the transmitted signals but are non-causally and partially known to the users. First, by employing adaptation (considering the previously received signals in encoding process), we derive an adaptive outer bound on the capacity region of the channel. Then, we utilize lattice strategies and obtain a non-adaptive inner bound that coincides with the adaptive outer bound and hence gives the capacity region. This also shows that for the doubly dirty TWC with partial side information, adaptation is useless and cannot increase the capacity region. Finally, we prove that Costa's dirty paper coding is optimal like lattice strategies and therefore, the Gaussian doubly dirty TWC is an instance of multi-user channels in which lattice strategy and Costa's strategy have the same performance from the capacity region perspective. It is worth noting that our results subsume the previous related works as special cases.

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Section: Introductionmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Capacity region of the Gaussian doubly dirty two‐way channel in the presence of partial side information

Monemizadeh

Hodtani

2014

Trans. Emerging Tel. Tech.

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“…For instance, in dirty paper channels with a common interference such as the Costa's channel [7,14] or the Gaussian MAC with common interference [13,18], Costa's strategy and good lattice codes have similar capacity performance. In contrast, it is shown that in some dirty paper channels with different interferences known at different transmitters such as the Gaussian doubly dirty MAC (GDD-MAC) [13], the Gaussian triply dirty MAC (GTD-MAC) [16] and the Gaussian doubly dirty compound MAC [17], lattice strategies are better than Costa's strategy such that they are able to achieve positive rates in the strong interference conditions while Costa's strategy is not able to do this. Since we commonly consider a linear model for Gaussian channels with additive Gaussian noises and interferences and also, as lattice codes have linear structure, it seems that achieving better results for such channels by using good lattice codes is reasonable.…”

mentioning

confidence: 85%

“…can beat it [13][14][15][16][17]. For instance, in dirty paper channels with a common interference such as the Costa's channel [7,14] or the Gaussian MAC with common interference [13,18], Costa's strategy and good lattice codes have similar capacity performance.…”

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confidence: 97%

Z-interference channel with side information at the transmitters

Fehri¹,

Ghomash²

2015

AEU - International Journal of Electronics and Communications

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“…Moreover, single user channel with partial channel state information at the transmitter (CSIT) was studied in [15]. Multiuser channels, for example, multiple access channels, BCs, interference channels and relay channels in presence of SI were studied in [16–19], respectively, and some works on multiuser channels with partial SI can be found in [20–23].…”

Section: Introductionmentioning

confidence: 99%

On capacity region of certain classes of three‐receiver broadcast channels with side information

Bahrami

Hodtani

2015

IET Communications

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The fact that the results for 2-receiver broadcast channels (BCs) are not generalized to the 3-receiver ones is of information theoretical importance. In this paper we study two classes of discrete memoryless BCs with non-causal side information (SI), i.e. multilevel BC (MBC) and 3-receiver less noisy BC. First, we obtain an achievable rate region and a capacity outer bound for the MBC. Second, we prove a special capacity region for the 3-receiver less noisy BC. Third, the obtained special capacity region for the 3-receiver less noisy BC is extended to continuous alphabet fading Gaussian version. It is worth mentioning that the previous works are special cases of our works. Index TermsThree-receiver broadcast channel, multilevel broadcast channel, less noisy broadcast channel, fading channel. I. INTRODUCTION BROADCAST channel is an important multiuser channel, first introduced by Cover [1]. Bergmans obtained an achievable rate region for degraded 2-receiver BC [2] using superposition coding and Gallager [3] and Ahlswede-Körner [4] showed that it is optimal. Special classes of BCs have been studied in [5] and [6]. By now, the best known capacity bounds for general 2-receiver BC are given by Marton [7] and Nair-El Gamal [8]. The results for BCs with two receivers are not generalizable to the BCs with more than two receivers and finding a closed form result for a broadcast channel with arbitrary number of receivers is not a straightforward problem. So some works focused on some special classes of BCs with more than two receivers such as multilevel broadcast channel [9] and 3-receiver less noisy broadcast channel [10]. For the first time, Borade et al.studied BCs with more than two receivers [11]. They guessed the straightforward extension of capacity region for 2-receiver BC with degraded message sets obtained by Körner and Marton [6], to multilevel broadcast channel, however Nair and El Gamal [9] showed that it is not in general optimal. Later, Nair and Wang [10] obtained the capacity region of the 3-receiver less noisy BC.Sajjad Bahrami is with the ). 2Shannon studied channels with side information (SI) [12], and found the capacity region of the single user channel when causal SI is available at the transmitter. Single user channel, when non-causal SI is available only at the transmitter, was studied by Gel'fand-Pinsker [13]. The results of [13] was generalized by Cover and Chiang [14] to the case where non-causal SI is available at both transmitter and receiver. Also single user channel with partial channel state information at the transmitter (CSIT) was studied in [15]. Multiuser channels e.g. multiple access channels, BCs, interference channels and relay channels in presence of SI were studied in [16], [17], [18] and [19], respectively and some works on multiuser channels with partial SI can be found in [20], [21], [22] and [23]. BC with SI was investigated in [17], in which inner and outer capacity bounds and capacity region for different cases of SI presence in degraded BC were obtained. The authors in [24] ...

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Achievable rate regions for a three‐user multiple access channel with partial side information

Cited by 6 publications

References 25 publications

Capacity region of the Gaussian doubly dirty two‐way channel in the presence of partial side information

Capacity region of the Gaussian doubly dirty two‐way channel in the presence of partial side information

Z-interference channel with side information at the transmitters

On capacity region of certain classes of three‐receiver broadcast channels with side information

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