Achieving the Welch bound with difference sets
By Pengfei Xia, Shengli Zhou, Georgios B. Giannakis. IEEE Transactions on Information Theory, 2005
408 citations recorded by the source corpus.
Subfields: Artificial Intelligence, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/02396a6c4d0ffd32cd7f3d1c943f0bc3203cf541
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In Artificial Intelligence
- Inderjit S. Dhillon
- Joel A. Tropp
- Robert W. Heath
- C. Bekas
- Bhaskar D. Rao
- Vincent Kin Nang Lau
- Ahmed Alkhateeb
- David Gesbert
In Electrical and Electronic Engineering
- Robert W. Heath
- Ahmed Alkhateeb
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- David Gesbert
- D. J. Love
- Rui Zhang
- Abdelrahman Taha
Citations in the corpus
- Hybrid MIMO Architectures for Millimeter Wave Communications: Phase Shifters or Switches? (2015, background): “choices of dimensions, combinatorial sequences based on difference sets [82] are optimal and achieve the Welch bound.”
- An estimator for the diagonal of a matrix (2007, background): “Designing codes that meet the optimality bound (9) for Emax with equality is a difficult problem that is still open for the case of general pairs (n, s), while it has found elegant closed form solutions for special values of (n, s) and complex valued unit norm codewords [18].”
- On the existence of equiangular tight frames (2007, background): “The literature contains several references to harmonic frames and ETFs [7,17,13,25].”
- Steiner equiangular tight frames (2010, background): “Many approaches to constructing ETFs have focused on the special case in which every entry of F is a root of unity [17, 20, 26, 28, 31].”
- Enabling Large Intelligent Surfaces With Compressive Sensing and Deep Learning (2019, background): “Therefore, it is interesting to explore the optimization of the active element selection, leveraging tools from nested arrays [37], co-prime arrays [38], [39], incoherence frames [40], and difference sets [33], [41].”
- An overview of limited feedback in wireless communication systems (2008, background): “One approach is construction based on difference sets [244], [271].”
- Optimal simplices and codes in projective spaces (2013, methodology): “The last line of the table refers to a construction based on difference sets [75] (see also [51]).”