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In this note, we show that the operator theoretic concept of Kolmogorov numbers and the number of degrees of freedom at level $\epsilon$ of a communication channel are closely related. Linear communication channels may be modeled using…

Information Theory · Computer Science 2011-03-21 Ram Somaraju , Jochen Trumpf

We study the interference channel with a signal cognitive relay. A signal cognitive relay knows the transmit signals (but not the messages) of the sources non-causally, and tries to help them communicating with their respective…

Information Theory · Computer Science 2010-01-13 Anas Chaaban , Aydin Sezgin

We analyze the gains of opportunistic communication in multiuser interference channels. Consider a fully connected $n$-user Gaussian interference channel. At each time instance only $K\leq n$ transmitters are allowed to be communicating…

Information Theory · Computer Science 2010-07-22 Ali Tajer , Xiaodong Wang

The degrees of freedom (DoF) available for communication provides an analytically tractable way to characterize the information-theoretic capacity of interference channels. In this paper, the DoF of a K-user interference channel is studied…

Information Theory · Computer Science 2016-11-15 Aly El Gamal , V. Sreekanth Annapureddy , Venugopal V. Veeravalli

This paper gives the approximate capacity region of a two-user MIMO interference channel with limited receiver cooperation, where the gap between the inner and outer bounds is in terms of the total number of receive antennas at the two…

Information Theory · Computer Science 2014-07-08 Mehdi Ashraphijuo , Vaneet Aggarwal , Xiaodong Wang

While the best known outerbound for the K user interference channel states that there cannot be more than K/2 degrees of freedom, it has been conjectured that in general the constant interference channel with any number of users has only…

Information Theory · Computer Science 2007-07-13 Viveck R. Cadambe , Syed A. Jafar

We provide achievability as well as converse results for the degrees of freedom region of a MIMO $X$ channel, i.e., a system with two transmitters, two receivers, each equipped with multiple antennas, where independent messages need to be…

Information Theory · Computer Science 2007-07-13 Syed A. Jafar , Shlomo Shamai

We explore the available degrees of freedom for various multiuser MIMO communication scenarios such as the multiple access, broadcast, interference, relay, X and Z channels. For the two user MIMO interference channel, we find a general…

Information Theory · Computer Science 2009-09-29 Syed A. Jafar , Maralle J. Fakhereddin

In this paper, we consider fundamental communication limits over a compound channel. Covert communication in the information-theoretic context has been primarily concerned with fundamental limits when the transmitter wishes to communicate…

Information Theory · Computer Science 2019-06-18 Sadaf Salehkalaibar , Mohammad Hossein Yassaee , Vincent Y. F. Tan

We characterize the generalized degrees of freedom of the $K$ user symmetric Gaussian interference channel where all desired links have the same signal-to-noise ratio (SNR) and all undesired links carrying interference have the same…

Information Theory · Computer Science 2012-04-03 Syed A. Jafar , Sriram Vishwanath

We consider a basic communication and sensing setup comprising a transmitter, a receiver and a sensor. The transmitter sends an encoded sequence to the receiver through a discrete memoryless channel, and the receiver is interested in…

Information Theory · Computer Science 2022-05-11 Han Wu , Hamdi Joudeh

We consider a basic joint communication and sensing setup comprising a transmitter, a receiver and a sensor. The transmitter sends a codeword to the receiver through a discrete memoryless channel, and the receiver is interested in decoding…

Information Theory · Computer Science 2024-12-09 Han Wu , Hamdi Joudeh

This paper presents generalized channel coding theorems for a time-slotted distributed communication system where a transmitter-receiver pair is communicating in parallel with other transmitters. Assume that the channel code of each…

Information Theory · Computer Science 2016-11-15 Jie Luo

As our main result we show that, in order to achieve the randomness assisted message - and entanglement transmission capacities of a finite arbitrarily varying quantum channel it is not necessary that sender and receiver share…

Quantum Physics · Physics 2015-06-12 Holger Boche , Janis Noetzel

The number of degrees of freedom (NDoF) in a communication channel fundamentally limits the number of independent spatial modes available for transmitting and receiving information. Although the NDoF can be computed numerically for specific…

Signal Processing · Electrical Eng. & Systems 2025-09-23 Mats Gustafsson

A state-dependent discrete memoryless multiple access channel is considered to model an integrated sensing and communication system, where two transmitters wish to convey messages to a receiver while simultaneously estimating the state…

Information Theory · Computer Science 2025-06-19 Yao Liu , Min Li , An Liu , Lawrence Ong , Aylin Yener

We consider vector space interference alignment strategies over the $K$-user interference channel and derive an upper bound on the achievable degrees of freedom as a function of the channel diversity $L$, where the channel diversity is…

Information Theory · Computer Science 2016-09-08 Cheuk Ting Li , Ayfer Özgür

The relationship between the transmitted signal and the noiseless received signals in correlatively changing fading channels is modeled as a nonlinear mapping over manifolds of different dimensions. Dimension counting argument claims that…

Information Theory · Computer Science 2014-01-28 Mina Karzand , Lizhong Zheng

Much of the existing work on the broadcast channel focuses only on the sending of private messages. In this work we examine the scenario where the sender also wishes to transmit common messages to subsets of receivers. For an L user…

Information Theory · Computer Science 2016-09-08 Leonard Grokop , David N. C. Tse

In these series of multi-part papers, a systematic study of fundamental limits of communications in interference networks is established. Here, interference network is referred to as a general single-hop communication scenario with…

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