Degrees of Freedom Region of the MIMO $X$ Channel

By Syed Ali Jafar, Shlomo Shamai. IEEE Transactions on Information Theory, 2008

791 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Computer Networks and Communications, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/a985d96f275c355aef9ed661f5dfa3b2206967e2

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Citations in the corpus

Breaking Spectrum Gridlock With Cognitive Radios: An Information Theoretic Perspective (2009, background): “The key to this counter-intuitive result is the concept of interference alignment [18], [34], [35].”
Communication Over MIMO X Channels: Interference Alignment, Decomposition, and Performance Analysis (2008, background): “Recently, in [17], it has been shown that by extending the X channel in time, the gap between the achievable MG and the upper bound proposed in [15] is closed.”
Interference Alignment and Spatial Degrees of Freedom for the K User Interference Channel (2007, methodology): “[5], [9], [10] study the degrees of freedom of cognitive interference and X networks i.”
Interference Alignment and Degrees of Freedom of the $K$-User Interference Channel (2008, methodology): “The idea of interference alignment evolved out of the degrees of freedom investigations on the two-user MIMO channel [19], [23], [24] and the compound broadcast channel [25].”
Approaching the Capacity of Wireless Networks through Distributed Interference Alignment (2008, background): “The interference alignment schemes in [1], [14]–[16] show that for interference networks, the “do no harm” approach is u3 u1”
Interference Alignment: A New Look at Signal Dimensions in a Communication Network (2011, methodology): “Specifically, reference [67] presented the interference alignment scheme for the two user X channel in its essential linear form (see Figure 3.”
Real Interference Alignment: Exploiting the Potential of Single Antenna Systems (2009, background): “Interference alignment in n -dimensional Euclidean spaces for n ≥ 2 is studied by several researchers, c.f. [2], [9]–[11].”
On the Fundamental Tradeoff of Integrated Sensing and Communications Under Gaussian Channels (2022, background): “Upon denoting the SNR as γ, the communication DoF is known to be defined as the asymptotic ratio [28]”
A Distributed Numerical Approach to Interference Alignment and Applications to Wireless Interference Networks (2011, background): “However, for the 2 user X channel interference alignment can be explicitly achieved with roughly the same amount of channel knowledge as required by the iterative schemes, without the need for an iterative process [21].”
On Feasibility of Interference Alignment in MIMO Interference Networks (2009, methodology): “[25] S. A. Jafar and M. Fakhereddin, “Degrees of freedom for the MIMO interference channel,”IEEE Trans.”
Interference Alignment and the Degrees of Freedom of Wireless $X$ Networks (2009, methodology): “Interference alignment is the key to the degrees of freedom characterizations of a variety of network communication scenarios, such as the compound broadcast channel [23], cognitive radio networks [ 15 ], [26], deterministic channel models [24] and the interference channel with users [16].”
On the Degrees of Freedom Achievable Through Interference Alignment in a MIMO Interference Channel (2011, methodology): “Consider a MIMO interference network consisting of K transmitter - receiver pairs, with transmitter k sending d k independent data streams to receiver k .”
Interference Alignment for Cellular Networks (2008, background): “is no collaboration of transmitters or receivers [7], [ 3 ].”
Fifty Years of MIMO Detection: The Road to Large-Scale MIMOs (2015, background): “Additionally, the recent advances in the capacity analysis of the MIMO interference channel and X channel have stimulated significant interests in interference alignment [207], [208], [209], [220]–[225], which is essentially constituted by a family of precoding/beamforming techniques for the MIMO in”