{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:52:44Z","timestamp":1760147564188,"version":"build-2065373602"},"reference-count":75,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2023,2,18]],"date-time":"2023-02-18T00:00:00Z","timestamp":1676678400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100006769","name":"Russian Science Foundation","doi-asserted-by":"publisher","award":["22-29-01458"],"award-info":[{"award-number":["22-29-01458"]}],"id":[{"id":"10.13039\/501100006769","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>This research studies the problem of a joint capacity\/capacity reliability analysis of the multiuser multi-input multioutput (MIMO) system functioning in the presence of generalized multipath fading. The study presents the derived results of the closed-form analytical statistical description of the ergodic sum-rate capacity, the capacity reliability and the capacity\u2019s higher-order statistics in the case of complex Nakagami-m distributed channel transmission coefficients. A numerical verification of the derived expressions was performed, and it demonstrated excellent correspondence with the simulation. The system performance was evaluated with the help of a numerical analysis of the joint first- and second-order statistics description, depending on the channel and system parameters. The results demonstrated several peculiarities, e.g., the existence of a specific extremum of the capacity reliability for small-sized MIMO systems, its opposite behavior (in terms of the varying number of antenna elements) for heavy and light fading, and the existing asymptotic regions of the system and the channel parameters.<\/jats:p>","DOI":"10.3390\/s23042289","type":"journal-article","created":{"date-parts":[[2023,2,20]],"date-time":"2023-02-20T02:29:08Z","timestamp":1676860148000},"page":"2289","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Closed-Form Capacity Reliability Analysis of Multiuser MIMO System in the Presence of Generalized Multipath Fading"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9308-4386","authenticated-orcid":false,"given":"Aleksey S.","family":"Gvozdarev","sequence":"first","affiliation":[{"name":"Department of Intelligent Radiophysical Information Systems (IRIS), P.G. Demidov Yaroslavl State University, 150003 Yaroslavl, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2836-8603","authenticated-orcid":false,"given":"Aleksandra M.","family":"Alishchuk","sequence":"additional","affiliation":[{"name":"Department of Intelligent Radiophysical Information Systems (IRIS), P.G. Demidov Yaroslavl State University, 150003 Yaroslavl, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0850-1200","authenticated-orcid":false,"given":"Marina A.","family":"Kazakova","sequence":"additional","affiliation":[{"name":"Department of Intelligent Radiophysical Information Systems (IRIS), P.G. Demidov Yaroslavl State University, 150003 Yaroslavl, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Biglieri, E., Calderbank, R., Constantinides, A., Goldsmith, A., Paulraj, A., and Poor, H.V. (2007). MIMO Wireless Communications, Cambridge University Press.","DOI":"10.1017\/CBO9780511618420"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1109\/MCOM.2014.6736761","article-title":"Massive MIMO for next generation wireless systems","volume":"52","author":"Larsson","year":"2014","journal-title":"IEEE Commun. Mag."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"574","DOI":"10.1109\/TWC.2017.2768423","article-title":"Massive MIMO Has Unlimited Capacity","volume":"17","author":"Bjornson","year":"2018","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"488","DOI":"10.1109\/TWC.2011.120911.101780","article-title":"Analysis of OFDM over Nakagami-m Fading with Nonuniform Phase Distributions","volume":"11","author":"Hamdi","year":"2012","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"3040","DOI":"10.1109\/TIT.2019.2961323","article-title":"Capacity Scaling of Massive MIMO in Strong Spatial Correlation Regimes","volume":"66","author":"Nam","year":"2020","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Shankar, P.M. (2012). Fading and Shadowing in Wireless Systems, Springer.","DOI":"10.1007\/978-1-4614-0367-8"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"649","DOI":"10.1007\/s11277-009-9837-6","article-title":"Higher Order Capacity Statistics of Diversity Receivers","volume":"56","author":"Sagias","year":"2009","journal-title":"Wirel. Pers. Commun."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1109\/TVT.2009.2030894","article-title":"Channel Capacity Over Generalized Fading Channels: A Novel MGF-Based Approach for Performance Analysis and Design of Wireless Communication Systems","volume":"59","author":"Renzo","year":"2010","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1109\/WCL.2012.081312.120285","article-title":"On the Computation of the Higher-Order Statistics of the Channel Capacity over Generalized Fading Channels","volume":"1","author":"Yilmaz","year":"2012","journal-title":"IEEE Wirel. Commun. Lett."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Yilmaz, F., and Alouini, M.S. (2012, January 17\u201320). Novel asymptotic results on the high-order statistics of the channel capacity over generalized fading channels. Proceedings of the 2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), Cesme, Turkey.","DOI":"10.1109\/SPAWC.2012.6292934"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1109\/TVT.2013.2272705","article-title":"On the Computation of the Higher Order Statistics of the Channel Capacity for Amplify-and-Forward Multihop Transmission","volume":"63","author":"Yilmaz","year":"2014","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"3818","DOI":"10.1109\/TVT.2015.2436341","article-title":"On the Higher Order Statistics of the Channel Capacity in Dispersed Spectrum Cognitive Radio Systems Over Generalized Fading Channels","volume":"65","author":"Tsiftsis","year":"2016","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"935","DOI":"10.1109\/TCOMM.2016.2637926","article-title":"On High-Order Capacity Statistics of Spectrum Aggregation Systems over \u03ba-\u03bc and \u03ba-\u03bc Shadowed Fading Channels","volume":"65","author":"Zhang","year":"2017","journal-title":"IEEE Trans. Commun."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1740","DOI":"10.1109\/LCOMM.2018.2846229","article-title":"High-Order Statistics for the Channel Capacity of EGC Receivers Over Generalized Fading Channels","volume":"22","author":"Peppas","year":"2018","journal-title":"IEEE Commun. Lett."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Gvozdarev, A.S. (2021, January 3\u20135). Capacity Higher-Order Statistics Analysis for \u03ba-\u03bc Fading Channels with Correlated Shadowing. Proceedings of the 2021 4th International Conference on Advanced Communication Technologies and Networking (CommNet), Rabat, Morocco.","DOI":"10.1109\/CommNet52204.2021.9641891"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"5282","DOI":"10.1109\/TMTT.2019.2951773","article-title":"System EVM Characterization and Coverage Area Estimation of 5G Directive mmW Links","volume":"67","author":"Leinonen","year":"2019","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"88664","DOI":"10.1109\/ACCESS.2020.2993448","article-title":"Current Status and Directions of IEEE 802.11be, the Future Wi-Fi 7","volume":"8","author":"Khorov","year":"2020","journal-title":"IEEE Access"},{"key":"ref_18","unstructured":"Peppas, K., Nistazakis, H., and Tombras, G. (2011). Advanced Trends in Wireless Communications, InTech."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"2281","DOI":"10.1007\/s11276-016-1286-z","article-title":"How significant is the assumption of the uniform channel phase distribution on the performance of spatial multiplexing MIMO system?","volume":"23","author":"Mesleh","year":"2016","journal-title":"Wirel. Netw."},{"key":"ref_20","unstructured":"Nakagami, M. (1960). Statistical Methods in Radio Wave Propagation, Elsevier."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1049\/el:20057014","article-title":"Nakagami-m phase-envelope joint distribution","volume":"41","author":"Yacoub","year":"2005","journal-title":"Electron. Lett."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1552","DOI":"10.1109\/TVT.2010.2040641","article-title":"Nakagami-m Phase-Envelope Joint Distribution: A New Model","volume":"59","author":"Yacoub","year":"2010","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"2561","DOI":"10.1109\/TCOMM.2010.080310.090560","article-title":"On the Moment-Determinance and Random Mixture of Nakagami-m Variates","volume":"58","year":"2010","journal-title":"IEEE Trans. Commun."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"906","DOI":"10.1109\/TCOMM.2009.04.070195","article-title":"On the simulation and correlation properties of phase-envelope Nakagami fading processes","volume":"57","author":"Filho","year":"2009","journal-title":"IEEE Trans. Commun."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1109\/TVT.2009.2030891","article-title":"A Method for Simulating Complex Nakagami Fading Time Series with Nonuniform Phase and Prescribed Autocorrelation Characteristics","volume":"59","author":"Ma","year":"2010","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"3031","DOI":"10.1007\/s11277-020-07833-x","article-title":"Physical Model Based Method to Generate Channel Coefficients for Nakagami-m Distribution","volume":"116","author":"Kumbhani","year":"2020","journal-title":"Wirel. Pers. Commun."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"10227","DOI":"10.1109\/TVT.2015.2478841","article-title":"Quadrature Spatial Modulation Performance Over Nakagami- m Fading Channels","volume":"65","author":"Younis","year":"2016","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"e4944","DOI":"10.1002\/dac.4944","article-title":"Modified generalized quadrature spatial modulation performance over Nakagami-m fading channel","volume":"34","author":"Gunde","year":"2021","journal-title":"Int. J. Commun. Syst."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"2191","DOI":"10.1109\/LCOMM.2021.3073981","article-title":"On the Performance Analysis of RIS-Empowered Communications Over Nakagami-m Fading","volume":"25","author":"Selimis","year":"2021","journal-title":"IEEE Commun. Lett."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"764","DOI":"10.1109\/LCOMM.2019.2899090","article-title":"Analysis of massive MIMO with low-resolution ADC in Nakagami-m fading","volume":"23","author":"Srinivasan","year":"2019","journal-title":"IEEE Commun. Lett."},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Gvozdarev, A.S., and Bryukhanov, Y.A. (2021, January 24\u201328). Statistical Analysis of the Low-Bit Quantizer\u2019s Output in Presence of Multipath Fading Effects. Proceedings of the 2021 IEEE International Black Sea Conference on Communications and Networking (BlackSeaCom), Bucharest, Romania.","DOI":"10.1109\/BlackSeaCom52164.2021.9527874"},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Gvozdarev, A.S., and Bryukhanov, Y.A. (April, January 30). Multipath Fading Impact on the Quantizer Output Signal Energy Suppression. Proceedings of the 2022 24th International Conference on Digital Signal Processing and its Applications (DSPA), Moscow, Russia.","DOI":"10.1109\/DSPA53304.2022.9790741"},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Sur, S.N., Bera, R., Bhoi, A.K., Shaik, M., and Marques, G. (2020). Capacity Analysis of Lattice Reduction Aided Equalizers for Massive MIMO Systems. Information, 11.","DOI":"10.3390\/info11060301"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"1949","DOI":"10.1109\/JSAC.2019.2929453","article-title":"A survey on spatial modulation in emerging wireless systems: Research progresses and applications","volume":"37","author":"Wen","year":"2019","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_35","unstructured":"Wen, M. (2020). Flexible and Cognitive Radio Access Technologies for 5G and Beyond, Institution of Engineering and Technology."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"4030","DOI":"10.1109\/TITS.2020.3006482","article-title":"Generalized quadrature spatial modulation and its application to vehicular networks with NOMA","volume":"22","author":"Li","year":"2021","journal-title":"IEEE Trans. Intell. Transp. Syst."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1109\/LCOMM.2019.2947451","article-title":"Multi-User Linear Precoding for Downlink Generalized Spatial Modulation Systems","volume":"24","author":"Zhang","year":"2020","journal-title":"IEEE Commun. Lett."},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Sun, Y., Wang, J., and He, L. (2015, January 17\u201319). Iterative zero forcing detection scheme for generalised spatial modulation. Proceedings of the 2015 IEEE International Symposium on Broadband Multimedia Systems and Broadcasting, Ghent, Belgium.","DOI":"10.1109\/BMSB.2015.7177248"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"145","DOI":"10.4218\/etrij.2018-0027","article-title":"Zero forcing based sphere decoder for generalized spatial modulation systems","volume":"41","author":"Jafarpoor","year":"2019","journal-title":"ETRI J."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"252","DOI":"10.1109\/LCOMM.2015.2497255","article-title":"On the capacity and performance of generalized spatial modulation","volume":"20","author":"Chockalingam","year":"2016","journal-title":"IEEE Commun. Lett."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"1588","DOI":"10.1109\/TCOMM.2016.2515624","article-title":"On the Achievable Rate of Generalized Spatial Modulation Using Multiplexing Under a Gaussian Mixture Model","volume":"64","author":"Ibrahim","year":"2016","journal-title":"IEEE Trans. Commun."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"3752","DOI":"10.1109\/TIT.2008.926467","article-title":"On the MIMO channel capacity for the Nakagami-m channel","volume":"54","author":"Fraidenraich","year":"2008","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1186\/s13638-015-0369-3","article-title":"On the capacity of MIMO correlated Nakagami- m fading channels using copula","volume":"2015","author":"Gholizadeh","year":"2015","journal-title":"EURASIP J. Wirel. Commun. Netw."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"1984","DOI":"10.1109\/TVT.2018.2889332","article-title":"Coulomb Gas Analogy: A Statistical Physics Approach to Performance Analysis of MIMO Systems","volume":"68","author":"Qi","year":"2019","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"536","DOI":"10.1109\/LCOMM.2010.06.092164","article-title":"On the capacity of non-uniform phase MIMO Nakagami-m fading channels","volume":"14","author":"Zhong","year":"2010","journal-title":"IEEE Commun. Lett."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"3651","DOI":"10.1109\/TWC.2012.090312.112054","article-title":"On the sum rate of MIMO Nakagami-m fading channels with linear receivers","volume":"11","author":"Zhong","year":"2012","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_47","doi-asserted-by":"crossref","unstructured":"Khoshkholgh, M.G., and Leung, V.C.M. (2017, January 24\u201327). Effective Capacity of Multi-Stream MIMO-ZFBF Communications in Large Wireless Networks. Proceedings of the 2017 IEEE 86th Vehicular Technology Conference (VTC-Fall), Toronto, ON, Canada.","DOI":"10.1109\/VTCFall.2017.8288179"},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"1067","DOI":"10.1049\/iet-com:20070037","article-title":"Error performance analysis of linear zero forcing and MMSE precoders for MIMO broadcast channels","volume":"1","author":"Shao","year":"2007","journal-title":"IET Commun."},{"key":"ref_49","unstructured":"Johnson, N.L., Kotz, S., and Balakrishnan, N. (1995). Continuous Univariate Distributions, Wiley-Interscience."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"1812","DOI":"10.1109\/TWC.2013.022113.120831","article-title":"Performance Analysis of ZF-Precoded Scheduling System for MU-MIMO with Generalized Selection Criterion","volume":"12","author":"Lee","year":"2013","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"491","DOI":"10.1109\/LCOMM.2002.805517","article-title":"Transmit selection in spatial multiplexing systems","volume":"6","author":"Gore","year":"2002","journal-title":"IEEE Commun. Lett."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"2008","DOI":"10.1109\/TIT.2011.2112070","article-title":"Performance Analysis of ZF and MMSE Equalizers for MIMO Systems: An In-Depth Study of the High SNR Regime","volume":"57","author":"Jiang","year":"2011","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"1176","DOI":"10.1109\/TVT.2007.895591","article-title":"Impact of Spatial Correlation on Adaptive Coded Modulation Performance in Rayleigh Fading","volume":"56","author":"Holter","year":"2007","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"266","DOI":"10.1049\/el:19990251","article-title":"Approximation of SNR statistics for MRC diversity systems in arbitrarily correlated Nakagami fading channels","volume":"35","author":"Mun","year":"1999","journal-title":"Electron. Lett."},{"key":"ref_55","doi-asserted-by":"crossref","unstructured":"Gvozdarev, A.S., Alischyuk, A., and Kazakova, M. (2021, January 3\u20135). Impact of System Correlation Matrix Bordering on the MU-MIMO Ergodic Sum-Rate Capacity in the Presence of the Multipath Fading Channel. Proceedings of the 2021 4th International Conference on Advanced Communication Technologies and Networking (CommNet), Rabat, Morocco.","DOI":"10.1109\/CommNet52204.2021.9641957"},{"key":"ref_56","doi-asserted-by":"crossref","unstructured":"Cho, Y.S., Kim, J., Yang, W.Y., and Kang, C.G. (2010). MIMO-OFDM Wireless Communications with MATLAB: Cho\/MIMO-OFDM Wireless Communications with MATLAB, Wiley-Blackwell.","DOI":"10.1002\/9780470825631"},{"key":"ref_57","doi-asserted-by":"crossref","unstructured":"Brown, T., Kyritsi, P., and Carvalho, E.D. (2012). Practical guide to MIMO radio channel: With Matlab examples, Wiley-Blackwell.","DOI":"10.1002\/9781119944966"},{"key":"ref_58","unstructured":"Levin, G. (2008). Capacity Analysis of Asymptotically Large MIMO Channels. [Ph.D. Thesis, University of Ottawa]."},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"502","DOI":"10.1109\/26.837052","article-title":"Fading correlation and its effect on the capacity of multielement antenna systems","volume":"48","author":"Shiu","year":"2000","journal-title":"IEEE Trans. Commun."},{"key":"ref_60","doi-asserted-by":"crossref","unstructured":"Couillet, R., and Debbah, M. (2011). Random Matrix Methods for Wireless Communications, Cambridge University Press.","DOI":"10.1017\/CBO9780511994746"},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"2230001","DOI":"10.1142\/S2010326322300017","article-title":"Large-dimensional random matrix theory and its applications in deep learning and wireless communications","volume":"10","author":"Ge","year":"2021","journal-title":"Random Matrices Theory Appl."},{"key":"ref_62","doi-asserted-by":"crossref","unstructured":"Halvarsson, B., Larsson, K., Thurfjell, M., Hiltunen, K., Tran, K., Machado, P., Juchnevicius, D., and Asplund, H. (2018, January 9\u201311). 5G NR Coverage, Performance and Beam Management Demonstrated in an Outdoor Urban Environment at 28 GHz. Proceedings of the 2018 IEEE 5G World Forum (5GWF), Silicon Valley, CA, USA.","DOI":"10.1109\/5GWF.2018.8517035"},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"1235","DOI":"10.1109\/TWC.2007.348319","article-title":"A case for considering hyper-Rayleigh fading channels","volume":"6","author":"Frolik","year":"2007","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"75367","DOI":"10.1109\/ACCESS.2019.2921632","article-title":"Unveiling the Hyper-Rayleigh Regime of the Fluctuating Two-Ray Fading Model","volume":"7","author":"Canete","year":"2019","journal-title":"IEEE Access"},{"key":"ref_65","unstructured":"Marshall, A.W., and Olkin, I. (2007). Life Distributions Structure of Nonparametric, Semiparametric, and Parametric Families, Springer."},{"key":"ref_66","first-page":"2454","article-title":"An extended Gompertz-Makeham distribution with application to lifetime data","volume":"47","year":"2017","journal-title":"Commun. Stat. Simul. Comput."},{"key":"ref_67","unstructured":"Olver, F.W., Lozier, D.W., Boisvert, R.F., and Clark, C.W. (2010). NIST Handbook of Mathematical Functions, Cambridge University Press."},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1093\/biomet\/38.3-4.481","article-title":"Note on the inversion theorem","volume":"38","year":"1951","journal-title":"Biometrika"},{"key":"ref_69","doi-asserted-by":"crossref","first-page":"1200","DOI":"10.1109\/JPROC.2021.3061778","article-title":"New Trends in Stochastic Geometry for Wireless Networks: A Tutorial and Survey","volume":"109","author":"Hmamouche","year":"2021","journal-title":"Proc. IEEE"},{"key":"ref_70","doi-asserted-by":"crossref","first-page":"102946","DOI":"10.1016\/j.adhoc.2022.102946","article-title":"Multi-class random access wireless network: General results and performance analysis of LoRaWAN","volume":"135","author":"Santos","year":"2022","journal-title":"Ad Hoc Netw."},{"key":"ref_71","unstructured":"Cohen, A.M. (2007). Numerical Methods for Laplace Transform Inversion, Springer."},{"key":"ref_72","unstructured":"Nicolas Bourbaki, P.S. (2013). Functions of a Real Variable: Elementary Theory, Springer."},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"1521","DOI":"10.1515\/ms-2017-0445","article-title":"Computation of several Hessenberg determinants","volume":"70","author":"Qi","year":"2020","journal-title":"Math. Slovaca"},{"key":"ref_74","unstructured":"Prudnikov, A., Brychkov, Y., and Marichev, O. (1990). Integrals and Series Volume 3: More Special Functions, Gordon & Breach."},{"key":"ref_75","doi-asserted-by":"crossref","unstructured":"Gvozdarev, A., and Artemova, T. (October, January 29). Banded correlation matrix model for massive MIMO systems. Proceedings of the 2017 IEEE East-West Design & Test Symposium (EWDTS), Novi Sad, Serbia.","DOI":"10.1109\/EWDTS.2017.8110132"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/23\/4\/2289\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T18:35:53Z","timestamp":1760121353000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/23\/4\/2289"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,2,18]]},"references-count":75,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2023,2]]}},"alternative-id":["s23042289"],"URL":"https:\/\/doi.org\/10.3390\/s23042289","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2023,2,18]]}}}