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of 7 701
pro vyhledávání: '"Sokal A"'
This paper addresses the channel estimation problem for beyond diagonal reconfigurable intelligent surface (BD-RIS) from a tensor decomposition perspective. We first show that the received pilot signals can be arranged as a three-way tensor, allowing
Externí odkaz:
http://arxiv.org/abs/2407.20402
Autor:
Sokal, Alan D., Walrad, James
We give a continued-fraction characterization of Stieltjes moment sequences for which there exists a representing measure with support in $[\xi, \infty)$. The proof is elementary.
Comment: LaTeX2e, 10 pages. arXiv admin note: text overlap with a
Comment: LaTeX2e, 10 pages. arXiv admin note: text overlap with a
Externí odkaz:
http://arxiv.org/abs/2404.12131
We introduce a triangular array $\widehat{\sf L}^{(\alpha)}$ of 5-variable homogeneous polynomials that enumerate Laguerre digraphs (digraphs in which each vertex has out-degree 0 or 1 and in-degree 0 or 1) with separate weights for peaks, valleys, d
Externí odkaz:
http://arxiv.org/abs/2312.11081
Autor:
Deb, Bishal, Sokal, Alan D.
We prove the coefficientwise Hankel-total positivity of the even and odd subsequences of Schett polynomials $X_n(x,y,z)$.
Comment: LaTeX2e, 12 pages, extended abstract submitted to FPSAC 2024
Comment: LaTeX2e, 12 pages, extended abstract submitted to FPSAC 2024
Externí odkaz:
http://arxiv.org/abs/2311.11747
Autor:
Benício, Kenneth B. A., de Almeida, André L. F., Sokal, Bruno, Fazal-E-Asim, Makki, Behrooz, Fodor, Gabor
This paper proposes a tensor-based parametric modeling and estimation framework in multiple-input multiple-output (MIMO) systems assisted by intelligent reflecting surfaces (IRSs). We present two algorithms that exploit the tensor structure of the re
Externí odkaz:
http://arxiv.org/abs/2306.12309
Autor:
Deb, Bishal, Sokal, Alan D.
Publikováno v:
Electronic Journal of Combinatorics 31(2), #P2.14 (2024)
We show that very simple continued fractions can be obtained for the ordinary generating functions enumerating permutations or D-permutations with a large number of independent statistics, when each cycle is given a weight $-1$. The proof is based on
Externí odkaz:
http://arxiv.org/abs/2306.11500
Autor:
Benicio, Kenneth B. A., de Almeida, André L. F., Sokal, Bruno, Fazal-E-Asim, Makki, Behrooz, Fodor, Gábor
This letter proposes a model for symbol detection in the uplink of IRS-assisted networks in the presence of channel aging. During the first stage, we model the received pilot signal as a tensor, which serves as a basis for both estimating the channel
Externí odkaz:
http://arxiv.org/abs/2305.10499
This paper proposes a pilot decoupling-based two-dimensional channel parameter estimation method for intelligent reflecting surface (IRS)-assisted networks. We exploit the combined effect of Terahertz sparse propagation and the geometrical structure
Externí odkaz:
http://arxiv.org/abs/2305.04393
Autor:
Deb, Bishal, Sokal, Alan D.
A permutation is said to be cycle-alternating if it has no cycle double rises, cycle double falls or fixed points; thus each index $i$ is either a cycle valley ($\sigma^{-1}(i)>i<\sigma(i)$) or a cycle peak ($\sigma^{-1}(i)\sigma(i)$). We find Stielt
Externí odkaz:
http://arxiv.org/abs/2304.06545
This paper proposes tensor-based channel estimation for reconfigurable intelligent surface (RIS)-assisted communication networks. We exploit the inherent geometrical structure of the Terahertz propagation channel, including the antenna array geometri
Externí odkaz:
http://arxiv.org/abs/2304.05576