Study of Tensor Based Wireless Communications and Array Processing

Study of Tensor Based Wireless Communications and Array Processing | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 26 February 2026 V1 Latest version Share on Study of Tensor Based Wireless Communications and Array Processing Authors : Carlos Pacca 0009-0007-7691-0069 [email protected] , Carlos A Pacca , Tomás C Fillo , and Marques J Pilar Authors Info & Affiliations https://doi.org/10.22541/au.177214272.28768399/v1 99 views 60 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This extended single-column survey reviews tensor decompositions used in signal processing (SP) with a primary focus on two application pillars: (i) wireless communications and (ii) array processing (radar/sonar/acoustic arrays and related localization/beamforming problems). We cover modeling pathways from physical measurement equations to low-rank tensor structures (CP/PARAFAC, structured CP, Tucker, and coupled models), identifiability and ill-conditioning phenomena, and algorithmic building blocks (ALS/first-order methods, MTTKRP, regularization/constraints) that recur across both pillars. We also highlight the practical bridge from factor estimates to physical parameters (angles, delays, Dopplers) under Vandermonde/shift-invariance structure, and we discuss common failure modes such as collinearity, degeneracy, and protocol-driven rank deficiencies. Compared with earlier drafts, we add a detailed treatment of CP identifiability (Kruskal-type conditions, generic rank and typical ranks, and degeneracy/illconditioning) as well as an appendix deriving ALS updates and common regularized variants with complexity analysis. Supplementary Material File (study of tensor based wireless communications.pdf) Download 511.19 KB Information & Authors Information Version history V1 Version 1 26 February 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords als array processing beamforming channel estimation confac cp/parafac degeneracy doa/toa identifiability localization mimo mmwave mttkrp radar ris/irs structured cp tensor decomposition tucker wireless communications Authors Affiliations Carlos Pacca 0009-0007-7691-0069 [email protected] View all articles by this author Carlos A Pacca Academic at University of Guadalajara View all articles by this author Tomás C Fillo Academic at University of Guadalajara View all articles by this author Marques J Pilar Academic at University of Guadalajara View all articles by this author Metrics & Citations Metrics Article Usage 99 views 60 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Carlos Pacca, Carlos A Pacca, Tomás C Fillo, et al. Study of Tensor Based Wireless Communications and Array Processing. Authorea . 26 February 2026. 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