Real Interference Alignment: Exploiting the Potential of Single Antenna Systems
Reads0
Chats0
TLDR
It is proved that constellations can be aligned in a similar fashion as that of vectors in multiple antenna systems and space can be broken up into fractional dimensions.Abstract:
In this paper, we develop the machinery of real interference alignment. This machinery is extremely powerful in achieving the sum degrees of freedom (DoF) of single antenna systems. The scheme of real interference alignment is based on designing single-layer and multilayer constellations used for modulating information messages at the transmitters. We show that constellations can be aligned in a similar fashion as that of vectors in multiple antenna systems and space can be broken up into fractional dimensions. The performance analysis of the signaling scheme makes use of a recent result in the field of Diophantine approximation, which states that the convergence part of the Khintchine-Groshev theorem holds for points on nondegenerate manifolds. Using real interference alignment, we obtain the sum DoF of two model channels, namely the Gaussian interference channel (IC) and the X channel. It is proved that the sum DoF of the K-user IC is (K/2) for almost all channel parameters. We also prove that the sum DoF of the X-channel with K transmitters and M receivers is (K M/K + M - 1) for almost all channel parameters.read more
Citations
More filters
Journal ArticleDOI
Compute-and-Forward: Harnessing Interference Through Structured Codes
Bobak Nazer,Michael Gastpar +1 more
TL;DR: In this article, the authors proposed a new strategy, compute-and-forward, that exploits interference to obtain significantly higher rates between users in a network by decoding linear functions of transmitted messages according to their observed channel coefficients rather than ignoring the interference as noise.
Journal ArticleDOI
Cooperative Algorithms for MIMO Interference Channels
Steven W. Peters,Robert W. Heath +1 more
TL;DR: In this paper, a minimum interference-plus-noise leakage (INL) algorithm is presented and shown to be equivalent to previous subspace methods when noise is spatially white or negligible.
Journal ArticleDOI
The Degree-of-Freedom Regions of MIMO Broadcast, Interference, and Cognitive Radio Channels With No CSIT
TL;DR: In this paper, the degree-of-freedom (DoF) regions for the MIMO broadcast channel (BC), interference channels (ICs), including X and multihop ICs, and the cognitive radio channel (CRC), when there is no channel state information at the transmitter(s) (CSIT) and for fading distributions in which transmit directions are statistically indistinguishable.
Journal ArticleDOI
Blind Interference Alignment
TL;DR: The main contribution of this paper is the insight that the transmitters' knowledge of channel coherence intervals alone (without any knowledge of the values of channel coefficients) can be surprisingly useful in a multiuser setting, illustrated by the idea of blind interference alignment.
Journal ArticleDOI
Ergodic Interference Alignment
TL;DR: This paper develops a new communication strategy, ergodic interference alignment, for the K-user interference channel with time-varying fading, and shows how to generalize this strategy beyond Gaussian channel models.
References
More filters
Book
An Introduction to the Theory of Numbers
TL;DR: The fifth edition of the introduction to the theory of numbers has been published by as discussed by the authors, and the main changes are in the notes at the end of each chapter, where the author seeks to provide up-to-date references for the reader who wishes to pursue a particular topic further and to present a reasonably accurate account of the present state of knowledge.
Journal ArticleDOI
Interference Alignment and Degrees of Freedom of the $K$ -User Interference Channel
Viveck R. Cadambe,Syed A. Jafar +1 more
TL;DR: For the fully connected K user wireless interference channel where the channel coefficients are time-varying and are drawn from a continuous distribution, the sum capacity is characterized as C(SNR)=K/2log (SNR)+o(log( SNR), which almost surely has K/2 degrees of freedom.
Journal ArticleDOI
A new achievable rate region for the interference channel
Te Sun Han,K. Kobayashi +1 more
TL;DR: A new achievable rate region for the general interference channel which extends previous results is presented and evaluated and the capacity of a class of Gaussian interference channels is established.
Book
An introduction to the theory of numbers
Ivan Niven,H. S. Zuckerman +1 more
TL;DR: Divisibility congruence quadratic reciprocity and Quadratic forms some functions of number theory some diophantine equations Farey fractions and irrational numbers simple continued fractions primes and multiplicative number theory algebraic numbers the partition function the density of sequences of integers.
Journal ArticleDOI
Gaussian Interference Channel Capacity to Within One Bit
TL;DR: The capacity of the two-user Gaussian interference channel has been open for 30 years and the best known achievable region is due to Han and Kobayashi as mentioned in this paper, but its characterization is very complicated.
Related Papers (5)
Interference Alignment and Degrees of Freedom of the $K$ -User Interference Channel
Viveck R. Cadambe,Syed A. Jafar +1 more