{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:47:12Z","timestamp":1760150832287,"version":"build-2065373602"},"reference-count":27,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2022,1,28]],"date-time":"2022-01-28T00:00:00Z","timestamp":1643328000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"State Key Laboratory of Integrated Services Networks (Xidian University)","award":["ISN22-17"],"award-info":[{"award-number":["ISN22-17"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Motivated by big data applications in the Internet of Things (IoT), abundant information arrives at the fusion center (FC) waiting to be processed. It is of great significance to ensure data freshness and fidelity simultaneously. We consider a wireless sensor network (WSN) where several sensor nodes observe one metric and then transmit the observations to the FC using a selection combining (SC) scheme. We adopt the age of information (AoI) and minimum mean square error (MMSE) metrics to measure the data freshness and fidelity, respectively. Explicit expressions of average AoI and MMSE are derived. After that, we jointly optimize the two metrics by adjusting the number of sensor nodes. A closed-form sub-optimal number of sensor nodes is proposed to achieve the best freshness and fidelity tradeoff with negligible errors. Numerical results show that using the proposed node number designs can effectively improve the freshness and fidelity of the transmitted data.<\/jats:p>","DOI":"10.3390\/e24020200","type":"journal-article","created":{"date-parts":[[2022,1,29]],"date-time":"2022-01-29T01:41:59Z","timestamp":1643420519000},"page":"200","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Joint Optimization of Data Freshness and Fidelity for Selection Combining-Based Transmissions"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2289-5621","authenticated-orcid":false,"given":"Zhengchuan","family":"Chen","sequence":"first","affiliation":[{"name":"School of Microelectronics and Communication Engineering, Chongqing University, Chongqing 400044, China"},{"name":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi\u2019an 710071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mingjun","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Microelectronics and Communication Engineering, Chongqing University, Chongqing 400044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Min","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Optoelectronics Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yunjian","family":"Jia","sequence":"additional","affiliation":[{"name":"School of Microelectronics and Communication Engineering, Chongqing University, Chongqing 400044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"4001604","DOI":"10.1109\/TMAG.2016.2537921","article-title":"Fundamental Study of Non-Contact Water Salinity Sensor by Using Electromagnetic Means for Seawater Desalination Plants","volume":"52","author":"Sonehara","year":"2016","journal-title":"IEEE Trans. Magn."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"3819","DOI":"10.1109\/TVT.2009.2018255","article-title":"Joint Selection Combining and Power Loading Transmission With Adaptive M-QAM in Multichannel System","volume":"58","author":"Lee","year":"2009","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Al-Suhail, G.A., Lamahewa, T.A., and Kennedy, R.A. (2009, January 28\u201330). Performance of dual-branch diversity receiver based SR-ARQ in Rayleigh fading channel. Proceedings of the 3rd International Conference on Signal Processing and Communication Systems, Omaha, NE, USA.","DOI":"10.1109\/ICSPCS.2009.5306398"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"894","DOI":"10.1109\/TCOMM.2003.813181","article-title":"Performance of maximal ratio transmission with two receive antennas","volume":"51","author":"Rao","year":"2003","journal-title":"IEEE Trans. Commun."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1109\/TCOMM.2004.840622","article-title":"Optimum selection combining for M-ary signals in frequency-nonselective fading channels","volume":"53","author":"Young","year":"2005","journal-title":"IEEE Trans. Commun."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"AL-Suhail, G.A., and Kennedy, R.A. (2010, January 13\u201315). Performance of hybrid ARQ on dual-branch diversity receiver in Rayleigh fading channel. Proceedings of the 2010 4th International Conference on Signal Processing and Communication Systems, Gold Coast, QLD, Australia.","DOI":"10.1109\/ICSPCS.2010.5709741"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Kaul, S., Yates, R., and Gruteser, M. (2012, January 25\u201330). Real-time status: How often should one update?. Proceedings of the IEEE INFOCOM, Orlando, FL, USA.","DOI":"10.1109\/INFCOM.2012.6195689"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"5003","DOI":"10.1109\/TCOMM.2020.2997414","article-title":"On the Age of Information in Multi-Source Queueing Models","volume":"68","author":"Moltafet","year":"2020","journal-title":"IEEE Trans. Commun."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"7477","DOI":"10.1109\/TIT.2021.3095823","article-title":"Age of Information in G\/G\/1\/1 Systems: Age Expressions, Bounds, Special Cases, and Optimization","volume":"67","author":"Soysal","year":"2021","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Zhang, T., Chen, S., and Chen, Z. (2021). Internet of Things: The Optimal Generation Rates under Preemption Strategy in a Multi-Source Queuing System. Entropy, 8.","DOI":"10.3390\/e23081055"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"11329","DOI":"10.1109\/JIOT.2021.3051722","article-title":"Status Update in IoT Networks: Age-of-Information Violation Probability and Optimal Update Rate","volume":"8","author":"Hu","year":"2021","journal-title":"IEEE Internet Things J."},{"key":"ref_12","first-page":"1583","article-title":"Age of information with packet management","volume":"67","author":"Costa","year":"2014","journal-title":"Proc. IEEE Int. Symp. Inf. Theor."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2269","DOI":"10.1109\/TMC.2020.2977010","article-title":"Optimizing Information Freshness in Wireless Networks: A Stochastic Geometry Approach","volume":"20","author":"Yang","year":"2021","journal-title":"Proc. IEEE Trans. Mob. Comput."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"3853","DOI":"10.1109\/LCOMM.2021.3119350","article-title":"Asymptotically Optimal Arrival Rate for IoT Networks With AoI and Peak AoI Constraints","volume":"25","author":"Hu","year":"2021","journal-title":"IEEE Commun. Lett."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1081","DOI":"10.1109\/JIOT.2019.2950054","article-title":"Age-upon-decisions minimizing scheduling in Internet of Things: To be random or to be deterministic?","volume":"7","author":"Dong","year":"2020","journal-title":"IEEE Internet Things J."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"7347","DOI":"10.1109\/TVT.2021.3085838","article-title":"Robust Linear Transceiver Designs for Vector Parameter Estimation in MIMO Wireless Sensor Networks Under CSI Uncertainty","volume":"70","author":"Rajput","year":"2021","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"5448","DOI":"10.1109\/TSP.2021.3114982","article-title":"Joint Collaboration and Compression Design for Distributed Sequential Estimation in a Wireless Sensor Network","volume":"69","author":"Cheng","year":"2021","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"6894","DOI":"10.1109\/TCOMM.2021.3092409","article-title":"Robust Decentralized and Distributed Estimation of a Correlated Parameter Vector in MIMO-OFDM Wireless Sensor Networks","volume":"69","author":"Rajput","year":"2021","journal-title":"IEEE Trans. Commun."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1109\/TSC.2018.2808956","article-title":"Low-Cost Adaptive Monitoring Techniques for the Internet of Things","volume":"14","author":"Trihinas","year":"2021","journal-title":"IEEE Trans. Serv. Comput."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"2425","DOI":"10.1109\/TNET.2021.3091493","article-title":"Age of Information for Updates With Distortion: Constant and Age-Dependent Distortion Constraints","volume":"29","author":"Bastopcu","year":"2021","journal-title":"IEEE\/ACM Trans. Netw."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"6485","DOI":"10.1109\/TCOMM.2021.3092413","article-title":"Sample, Quantize, and Encode: Timely Estimation Over Noisy Channels","volume":"69","author":"Arafa","year":"2021","journal-title":"IEEE Trans. Commun."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Roth, S., Arafa, A., Sezgin, A., and Poor, H.V. (2021). Short Blocklength Process Monitoring and Scheduling: Resolution and Data Freshness. IEEE Trans. Wirel. Commun.","DOI":"10.1109\/ICC40277.2020.9149010"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1315","DOI":"10.1109\/TSP.2020.2971203","article-title":"Distributed Sensing With Orthogonal Multiple Access: To Code or not to Code?","volume":"68","author":"Dong","year":"2020","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"6613","DOI":"10.1109\/TSP.2016.2612173","article-title":"Optimized Sensor Collaboration for Estimation of Temporally Correlated Parameters","volume":"64","author":"Liu","year":"2016","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"3509","DOI":"10.1109\/TSP.2016.2550005","article-title":"Sensor Selection for Estimation with Correlated Measurement Noise","volume":"64","author":"Liu","year":"2016","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Arnold, B.B.C., Balakrishnan, N., and Nagaraja, H.N. (2008). A First Course in Order Statistics, Society for Industrial and Applied Mathematics. [2nd ed.].","DOI":"10.1137\/1.9780898719062"},{"key":"ref_27","unstructured":"(2021, December 10). Study on Scenarios and Requirements for Next Generation Access Technologies, Technical Specification Group Radio Access Network, Release 14, Document 38.913, 3GPP, October 2016. Available online: https:\/\/portal.3gpp.org\/desktopmodules\/Specifications\/SpecificationDetails.aspx?specificationId=2996."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/24\/2\/200\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T22:09:37Z","timestamp":1760134177000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/24\/2\/200"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,1,28]]},"references-count":27,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2022,2]]}},"alternative-id":["e24020200"],"URL":"https:\/\/doi.org\/10.3390\/e24020200","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2022,1,28]]}}}