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12
On the optimality of treating interference as noise
 in Proc. 51st Annu. Allerton Conf. Commun., Control, Comput
, 2013
"... Abstract — It is shown that in the Kuser interference channel, if for each user the desired signal strength is no less than the sum of the strengths of the strongest interference from this user and the strongest interference to this user (all values in decibel scale), then the simple scheme of usin ..."
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Cited by 9 (4 self)
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Abstract — It is shown that in the Kuser interference channel, if for each user the desired signal strength is no less than the sum of the strengths of the strongest interference from this user and the strongest interference to this user (all values in decibel scale), then the simple scheme of using pointtopoint Gaussian codebooks with appropriate power levels at each transmitter and treating interference as noise (TIN) at every receiver (in short, TIN scheme) achieves all points in the capacity region to within a constant gap. The generalized degrees of freedom (GDoF) region under this condition is a polyhedron, which is shown to be fully achieved by the same scheme, without the need for timesharing. The results are proved by first deriving a polyhedral relaxation of the GDoF region achieved by TIN, and then providing a dual characterization of this polyhedral region via the use of potential functions, and finally proving the optimality of this region in the desired regime. Index Terms — Capacity region, Gaussian interference channel, generalized degrees of freedom (GDoF), treating interference as noise (TIN). I.
On the Sum Capacity of Kuser Cascade Gaussian ZInterference Channel
, 1106
"... Abstract—A Kuser cascade Gaussian Zinterference channel is a subclass of the general Kuser Gaussian interference channel, where each user, except the first one, experiences interference only from the previous user. Under simple HanKobayashi schemes assuming Gaussian inputs and no time sharing, i ..."
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Abstract—A Kuser cascade Gaussian Zinterference channel is a subclass of the general Kuser Gaussian interference channel, where each user, except the first one, experiences interference only from the previous user. Under simple HanKobayashi schemes assuming Gaussian inputs and no time sharing, it is shown that the maximum sum rate is achieved by each user transmitting either common or private signals. For K = 3, channel conditions under which the achieved sum rate is either equal to or within 0.5 bits to the sum capacity are identified. I.
1 On the Capacity Region and the Generalized Degrees of Freedom Region for the MIMO Interference Channel with Feedback
"... Abstract—In this paper, we study the effect of feedback on the twouser MIMO interference channel. The capacity region of the MIMO interference channel with feedback is characterized within a constant number of bits, where this constant is independent of the channel matrices. Further, it is shown th ..."
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Abstract—In this paper, we study the effect of feedback on the twouser MIMO interference channel. The capacity region of the MIMO interference channel with feedback is characterized within a constant number of bits, where this constant is independent of the channel matrices. Further, it is shown that the capacity region of the MIMO interference channel with feedback and its reciprocal interference channel are within a constant number of bits. Finally, the generalized degrees of freedom region for the MIMO interference channel with feedback is characterized.
On the Optimality of Treating Interference as Noise for K user Parallel Gaussian Interference Networks
"... It has been shown recently by Geng et al. that in a K user Gaussian interference network, if for each user the desired signal strength is no less than the sum of the strengths of the strongest interference from this user and the strongest interference to this user (all signal strengths measured in ..."
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Cited by 2 (2 self)
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It has been shown recently by Geng et al. that in a K user Gaussian interference network, if for each user the desired signal strength is no less than the sum of the strengths of the strongest interference from this user and the strongest interference to this user (all signal strengths measured in dB scale), then power control and treating interference as noise (TIN) is sufficient to achieve the entire generalized degrees of freedom (GDoF) region. Motivated by the intuition that the deterministic model of Avestimehr et al. (ADT deterministic model) is particularly suited for exploring the optimality of TIN, the results of Geng et al. are first revisited under the ADT deterministic model, and are shown to directly translate between the Gaussian and deterministic settings. Next, we focus on the extension of these results to parallel interference networks, from a sumcapacity/sumGDoF perspective. To this end, we interpret the explicit characterization of the sumcapacity/sumGDoF of a TIN optimal network (without parallel channels) as a minimum weighted matching problem in combinatorial optimization, and obtain a simple characterization in terms of a partition of the interference network into vertexdisjoint cycles. Aided by insights from the cyclic partition, the sumcapacity optimality of TIN for K user parallel interference networks is characterized for the ADT deterministic model, leading ultimately to corresponding GDoF results for the Gaussian setting. In both cases, subject to a mild invertibility condition the optimality of TIN is shown to extend to parallel networks in a separable fashion.
SumCapacity of a Class of Kuser Gaussian Interference Channels within O(K) bits
"... Though the capacity of the 2user Gaussian interference channel has long eluded information theorists, recent progress has been made by focussing on approximations with provable bounds. However, extensions to a general Kuser network has proven to be nonobvious, in particular due to the role of in ..."
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Though the capacity of the 2user Gaussian interference channel has long eluded information theorists, recent progress has been made by focussing on approximations with provable bounds. However, extensions to a general Kuser network has proven to be nonobvious, in particular due to the role of interference alignment in these cases. In this paper, we look at a special case of a Kuser Gaussian interference network where only one of the users interferes with and is also interfered by all the other users. We determine the sumcapacity of such a network within O(K) bits for all possible values of the channel parameters, provided the direct signal is stronger than the receiver noise.
deterministic Complete Kuser Zinterference
"... The sumcapacity of the symmetric linear ..."
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1On the Capacity Region and the Generalized Degrees of Freedom Region for the MIMO Interference Channel with Feedback
"... In this paper, we study the effect of feedback on the twouser MIMO interference channel. The capacity region of the MIMO interference channel with feedback is characterized within a constant number of bits, where this constant is independent of the channel matrices. Further, it is shown that the ca ..."
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In this paper, we study the effect of feedback on the twouser MIMO interference channel. The capacity region of the MIMO interference channel with feedback is characterized within a constant number of bits, where this constant is independent of the channel matrices. Further, it is shown that the capacity region of the MIMO interference channel with feedback and its reciprocal interference channel are within a constant number of bits. Finally, the generalized degrees of freedom region for the MIMO interference channel with feedback is characterized.