PMID- 35890978 OWN - NLM STAT- PubMed-not-MEDLINE LR - 20220731 IS - 1424-8220 (Electronic) IS - 1424-8220 (Linking) VI - 22 IP - 14 DP - 2022 Jul 15 TI - Characteristics of Channel Eigenvalues and Mutual Coupling Effects for Holographic Reconfigurable Intelligent Surfaces. LID - 10.3390/s22145297 [doi] LID - 5297 AB - As a prospective key technology for the next-generation wireless communications, reconfigurable intelligent surfaces (RISs) have gained tremendous research interest in both the academia and industry in recent years. Only limited knowledge, however, has been obtained about the channel eigenvalue characteristics and spatial degrees of freedom (DoF) of systems containing RISs, especially when mutual coupling (MC) is present between the array elements. In this paper, we focus on the small-scale spatial correlation and eigenvalue properties excluding and including MC effects, for RISs with a quasi-continuous aperture (i.e., holographic RISs). Specifically, asymptotic behaviors of far-field and near-field eigenvalues of the spatial correlation matrix of holographic RISs without MC are first investigated, where the counter-intuitive observation of a lower DoF with more elements is explained by leveraging the power spectrum of the spatial correlation function. Second, a novel metric is proposed to quantify the inter-element correlation or coupling strength in RISs and ordinary antenna arrays. Furthermore, in-depth analysis is performed regarding the MC effects on array gain, effective spatial correlation, and eigenvalue architectures for a variety of element intervals when a holographic RIS works in the radiation and reception mode, respectively. The analysis and numerical results demonstrate that a considerable amount of the eigenvalues of the spatial correlation matrix correspond to evanescent waves that are promising for near-field communication and sensing. More importantly, holographic RISs can potentially reach an array gain conspicuously larger than conventional arrays by exploiting MC, and MC has discrepant impacts on the effective spatial correlation and eigenvalue structures at the transmitter and receiver. FAU - Sun, Shu AU - Sun S AUID- ORCID: 0000-0001-8655-3746 AD - Department of Electronic Engineering, School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China. AD - Shanghai Key Laboratory of Digital Media Processing and Transmissions, Shanghai 200240, China. FAU - Tao, Meixia AU - Tao M AD - Department of Electronic Engineering, School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China. AD - Shanghai Key Laboratory of Digital Media Processing and Transmissions, Shanghai 200240, China. LA - eng GR - WH220403031/Shanghai Jiao Tong University/ PT - Journal Article DEP - 20220715 PL - Switzerland TA - Sensors (Basel) JT - Sensors (Basel, Switzerland) JID - 101204366 SB - IM PMC - PMC9316737 OTO - NOTNLM OT - eigenvalue OT - holographic communications OT - mutual coupling OT - reconfigurable intelligent surface (RIS) OT - spatial correlation OT - spatial degrees of freedom COIS- The authors declare no conflict of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, or in the decision to publish the results. EDAT- 2022/07/28 06:00 MHDA- 2022/07/28 06:01 PMCR- 2022/07/15 CRDT- 2022/07/27 01:42 PHST- 2022/06/13 00:00 [received] PHST- 2022/07/03 00:00 [revised] PHST- 2022/07/11 00:00 [accepted] PHST- 2022/07/27 01:42 [entrez] PHST- 2022/07/28 06:00 [pubmed] PHST- 2022/07/28 06:01 [medline] PHST- 2022/07/15 00:00 [pmc-release] AID - s22145297 [pii] AID - sensors-22-05297 [pii] AID - 10.3390/s22145297 [doi] PST - epublish SO - Sensors (Basel). 2022 Jul 15;22(14):5297. doi: 10.3390/s22145297.