(Sub-)Optimality of Treating Interference as Noise in the Cellular Uplink With Weak Interference

Gherekhloo, Soheil; Chaaban, Anas; Chen, Di; Sezgin, Aydin

doi:10.1109/tit.2015.2499189

Cited by 33 publications

(44 citation statements)

References 33 publications

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“…As a conclusion, in regime R IA , the IA-TIN scheme with the given power allocations strictly outperforms TDMA-TIN at high SNR if (21) is satisfied. The same behavior can be shown similarly for the remaining cases of regime R IA , with details given in [19]. …”

Section: Performance Comparisonsupporting

confidence: 59%

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Coordination gains in the cellular uplink with noisy interference

Gherekhloo

Chaaban

Sezgin

2014

2014 IEEE 15th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)

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This paper studies the performance gains of coordination in an elemental cellular network consisting of a multiple-access channel (MAC) and a point-to-point channel (P2P) interfering with each other. It is assumed that this network, denoted as PIMAC, is operating in the noisy (very-weak) interference regime. Three schemes, denoted as naive-TIN, TDMA-TIN, and IA-TIN, each with different coordination requirements among the transmitters (and receivers), are compared with each other in terms of achievable sum rates. It is shown that, although the PIMAC is in the noisy interference regime, allowing more coordination between the users might increase the performance, depending on the channel parameters. Consequently, this proves the sub-optimality of TDMA-TIN and naive-TIN in those regimes, which is in contrast to existing results for K-user interference and X channels. The analytical finding are verified by numerical evaluations.

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Section: Performance Comparisonsupporting

confidence: 59%

“…which is larger than R Σ,TT since R a is strictly positive (19), (21) (except if m β − m α = m d − m c ). As a conclusion, in regime R IA , the IA-TIN scheme with the given power allocations strictly outperforms TDMA-TIN at high SNR if (21) is satisfied.…”

Section: Performance Comparisonmentioning

confidence: 94%

Coordination gains in the cellular uplink with noisy interference

Gherekhloo

Chaaban

Sezgin

2014

2014 IEEE 15th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)

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“…Optimal schemes for such GDoF characterizations tend to be naturally robust schemes that require only a coarse knowledge of channel strength 2 parameters α ij at the transmitters. Aided by advances in Aligned Images (AI) bounds [7], GDoF characterizations under finite precision CSIT have been found for a variety of wireless networks in [9][10][11][12][13].The importance of simplicity is reflected in the goal of identifying parameter regimes where simple schemes are optimal in the GDoF sense [14][15][16][17][18][19][20][21][22][23][24][25][26][27]. The most relevant examples for our purpose are [14], [15] and [16].…”

mentioning

confidence: 99%

Toward an Extremal Network Theory—Robust GDoF Gain of Transmitter Cooperation Over TIN

Chan

Wang

Jafar

2020

IEEE Trans. Inform. Theory

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Significant progress has been made recently in Generalized Degrees of Freedom (GDoF) characterizations of wireless interference channels (IC) and broadcast channels (BC) under the assumption of finite precision channel state information at the transmitters (CSIT), especially for smaller or highly symmetric network settings. A critical barrier in extending these results to larger and asymmetric networks is the inherent combinatorial complexity of such networks. Motivated by other fields such as extremal combinatorics and extremal graph theory, we explore the possibility of an extremal network theory, i.e., a study of extremal networks within particular regimes of interest. As our test application, we study the GDoF benefits of transmitter cooperation in a K user IC over the simple scheme of power control and treating interference as Gaussian noise (TIN) for three regimes of interest -a TIN regime identified by Geng et al. where TIN was shown to be GDoF optimal for the K user interference channel, a CTIN regime identified by Yi and Caire where the GDoF region achievable by TIN is convex without time-sharing, and an SLS regime identified by Davoodi and Jafar where a simple layered superposition (SLS) scheme is shown to be optimal in the K user MISO BC, albeit only for K ≤ 3. The SLS regime includes the CTIN regime, and the CTIN regime includes the TIN regime. As our first result, we show that under finite precision CSIT, TIN is GDoF optimal for the K user IC throughout the CTIN regime. Furthermore, under finite precision CSIT, appealing to extremal network theory we obtain the following results. In the TIN regime as well as the CTIN regime, we show that the extremal GDoF gain from transmitter cooperation over TIN is bounded regardless of the number of users. In fact, the gain is exactly a factor of 3/2 in the TIN regime, and 2 − 1/K in the CTIN regime, for arbitrary number of users K > 1. However, in the SLS regime, the gain is Θ(log 2 (K)), i.e., it scales logarithmically with the number of users.Finding the capacity limits of wireless networks is one of the grand challenges of network information theory. While exact capacity characterizations remain elusive, much progress has been made on this problem within the past decade through Degrees of Freedom (DoF) [1] and Generalized Degrees of Freedom (GDoF) [2] studies. This includes both new achievable schemes, including those inspired by the idea of interference alignment (IA) [3][4][5][6], and new outer bounds, such as those based on the aligned images (AI) approach [7]. With these advances as stepping stones, a worthy goal at this stage is to bring the theory closer to practice by adapting the models and metrics to increasingly incorporate practical concerns. As a step in this direction, this work is motivated by three practical concerns -robustness, simplicity, and scalability.By robustness we refer specifically to the channel state information at the transmitters (CSIT). GDoF characterizations under perfect CSIT provide important theoretical benchmarks, but often ...

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“…The sum-capacity corner point is achievable within a constant gap by the scheme in [26]. 13 Thus, it remains to prove the achievability of the greedy-max corner points within a constant gap. Similar arguments can be used for the symmetric Kuser IC: If the corner points of the symmetric (K − 1)-user IC are achievable within a constant gap, then to prove the achievability of the corner points of the symmetric K-user case, it suffices to consider the greedy-max corner points.…”

Section: A Capacity Region In the Si Regimementioning

confidence: 99%