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This article shows that the capacity region of a two users weak Gaussian interference channel can be achieved using single letter Gaussian code-books. The approach relies on traversing the boundary in incremental steps. Starting from a…

Information Theory · Computer Science 2026-05-18 Amir K. Khandani

This article shows that the set of HK constraints correspond to projecting the intersection of two multiple access channels on its sup-spaces. A key property of HK constraints is that the private message of user 1 (or of user 2) is the last…

Information Theory · Computer Science 2020-12-15 Amir K. Khandani

We explore the capacity and generalized degrees of freedom of the two-user Gaussian X channel, i.e. a generalization of the 2 user interference channel where there is an independent message from each transmitter to each receiver. There are…

Information Theory · Computer Science 2008-10-28 Chiachi Huang , Viveck R. Cadambe , Syed A. Jafar

The capacity of the two-user Gaussian interference channel has been open for thirty years. The understanding on this problem has been limited. The best known achievable region is due to Han-Kobayashi but its characterization is very…

Information Theory · Computer Science 2007-07-13 Raul Etkin , David Tse , Hua Wang

A Han-Kobayashi based achievable scheme is presented for ergodic fading two-user Gaussian interference channels (IFCs) with perfect channel state information at all nodes and Gaussian codebooks with no time-sharing. Using max-min…

Information Theory · Computer Science 2010-01-19 Lalitha Sankar , Elza Erkip , H. Vincent Poor

Recent investigations have shown that the sum secure degrees of freedom of the Gaussian wiretap channel with a helper is $\tfrac{1}{2}$. The achievable scheme for this result is based on the real interference alignment approach. While…

Information Theory · Computer Science 2016-09-19 Rick Fritschek , Gerhard Wunder

Calculating the capacity of interference channels is a notorious open problem in classical information theory. Such channels have two senders and two receivers, and each sender would like to communicate with a partner receiver. The capacity…

Quantum Physics · Physics 2012-05-28 Omar Fawzi , Patrick Hayden , Ivan Savov , Pranab Sen , Mark M. Wilde

Motivated by the broadcast view of the interference channel, the new problem of communication with disturbance constraints is formulated. The rate-disturbance region is established for the single constraint case and the optimal encoding…

Information Theory · Computer Science 2011-11-09 Bernd Bandemer , Abbas El Gamal

The capacity region of the $K$-user Gaussian interference channel (GIC) is a long-standing open problem and even capacity outer bounds are little known in general. A significant progress on degrees-of-freedom (DoF) analysis, a first-order…

Information Theory · Computer Science 2017-01-24 Junyoung Nam

This paper explores the two-user Gaussian interference channel through the lens of a natural deterministic channel model. The main result is that the deterministic channel uniformly approximates the Gaussian channel, the capacity regions…

Information Theory · Computer Science 2008-07-22 Guy Bresler , David Tse

In this second part of our multi-part papers, the information flow in degraded interference networks is studied. A full characterization of the sum-rate capacity for the degraded networks with any possible configuration is established. It…

Information Theory · Computer Science 2013-02-18 Reza K. Farsani

This paper studies the capacity region of a $K$-user cyclic Gaussian interference channel, where the $k$th user interferes with only the $(k-1)$th user (mod $K$) in the network. Inspired by the work of Etkin, Tse and Wang, who derived a…

Information Theory · Computer Science 2012-09-03 Lei Zhou , Wei Yu

The sum-capacity for specific sub-classes of ergodic fading Gaussian two-user interference channels (IFCs) is developed under the assumption of perfect channel state information at all transmitters and receivers. For the sub-classes of…

Information Theory · Computer Science 2016-11-17 Lalitha Sankar , Xiaohu Shang , Elza Erkip , H. Vincent Poor

In this paper, the Gaussian many-to-one X channel, which is a special case of general multiuser X channel, is studied. In the Gaussian many-to-one X channel, communication links exist between all transmitters and one of the receivers, along…

Information Theory · Computer Science 2016-11-17 Ranga Prasad , Srikrishna Bhashyam , A. Chockalingam

We characterize the capacity region to within 2 bits/s/Hz and the symmetric capacity to within 1 bit/s/Hz for the two-user Gaussian interference channel (IC) with feedback. We develop achievable schemes and derive a new outer bound to…

Information Theory · Computer Science 2010-05-20 Changho Suh , David Tse

We define a class of Z-interference channels for which we obtain a new upper bound on the capacity region. The bound exploits a technique first introduced by Korner and Marton. A channel in this class has the property that, for the…

Information Theory · Computer Science 2008-08-07 Nan Liu , Andrea Goldsmith

The two-user Gaussian interference channel (G-IC) is revisited, with a particular focus on practically amenable discrete input signalling and treating interference as noise (TIN) receivers. The corresponding deterministic interference…

Information Theory · Computer Science 2021-03-18 Min Qiu , Yu-Chih Huang , Jinhong Yuan

This paper studies the capacity region of a $K$-user cyclic Gaussian interference channel, where the $k$th user interferes with only the $(k-1)$th user (mod $K$) in the network. Inspired by the work of Etkin, Tse and Wang, which derived a…

Information Theory · Computer Science 2012-05-22 Lei Zhou , Wei Yu

The two-user broadcast channel (BC) with receivers connected by bidirectional cooperation links of finite capacities, known as conferencing decoders, is considered. A novel capacity region outer bound is established based on multiple…

Information Theory · Computer Science 2025-08-12 Reza K. Farsani , Wei Yu

In this paper, capacity bounds for the two-user Interference Channel (IC) with cooperative receivers via conferencing links of finite capacities is investigated. The capacity results known for this communication scenario are limited to a…

Information Theory · Computer Science 2015-12-17 Reza K. Farsani , Amir K. Khandani