Metrical Theory for Small Linear Forms and Applications to Interference Alignment
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Publication:3298040
DOI10.1007/978-3-030-36568-4_24zbMath1451.11084OpenAlexW3011347341MaRDI QIDQ3298040
Seyyed Hassan Mahboubi, Mumtaz Hussain, Abolfazl Seyed Motahari
Publication date: 21 July 2020
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-36568-4_24
Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Channel models (including quantum) in information and communication theory (94A40) Diophantine approximation in probabilistic number theory (11K60)
Cites Work
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- The metrical theory of simultaneously small linear forms
- A converse to linear independence criteria, valid almost everywhere
- Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics
- A note on the weighted Khintchine-Groshev theorem
- Diophantine approximation and badly approximable sets
- Precoded Integer-Forcing Universally Achieves the MIMO Capacity to Within a Constant Gap
- Real Interference Alignment: Exploiting the Potential of Single Antenna Systems
- Interference Alignment and the Generalized Degrees of Freedom of the $X$ Channel
- Ubiquity and a general logarithm law for geodesics
- Interference Alignment — A New Look at Signal Dimensions in a Communication Network
- A NOTE ON BADLY APPROXIMABLE LINEAR FORMS
- Measure theoretic laws for lim sup sets
- Degrees of Freedom Region of the MIMO <formula formulatype="inline"> <tex>$X$</tex></formula> Channel
- Communication Over MIMO X Channels: Interference Alignment, Decomposition, and Performance Analysis
- Metric Diophantine Approximation: Aspects of Recent Work
- A problem in non-linear Diophantine approximation
- THE METRIC THEORY OF MIXED TYPE LINEAR FORMS
- METRICAL RESULTS ON SYSTEMS OF SMALL LINEAR FORMS
- Interference Alignment and the Degrees of Freedom of Wireless $X$ Networks
- The Degrees-of-Freedom of the $K$-User Gaussian Interference Channel Is Discontinuous at Rational Channel Coefficients
- The Approximate Capacity of the Many-to-One and One-to-Many Gaussian Interference Channels
- Badly approximable systems of linear forms in absolute value
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