{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T14:41:13Z","timestamp":1740148873486,"version":"3.37.3"},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2024,5,29]],"date-time":"2024-05-29T00:00:00Z","timestamp":1716940800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,5,29]],"date-time":"2024-05-29T00:00:00Z","timestamp":1716940800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Ann. Telecommun."],"published-print":{"date-parts":[[2025,2]]},"DOI":"10.1007\/s12243-024-01042-4","type":"journal-article","created":{"date-parts":[[2024,5,29]],"date-time":"2024-05-29T06:02:35Z","timestamp":1716962555000},"page":"139-151","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Impact of NLPA and imperfect CSI on ASER performance of QAM schemes for two-way 3P-ANC multiple-relay network"],"prefix":"10.1007","volume":"80","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7376-308X","authenticated-orcid":false,"given":"Nagendra","family":"Kumar","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,5,29]]},"reference":[{"key":"1042_CR1","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1016\/j.phycom.2015.10.006","volume":"18","author":"N Panwar","year":"2016","unstructured":"Panwar N, Sharma S, Singh AK (2016) A survey on 5G: the next generation of mobile communication. Phys Commun 18:64\u201384","journal-title":"Phys Commun"},{"issue":"12","key":"1042_CR2","doi-asserted-by":"publisher","first-page":"3062","DOI":"10.1109\/TIT.2004.838089","volume":"50","author":"JN Laneman","year":"2004","unstructured":"Laneman JN, Tse DN, Wornell GW (2004) Cooperative diversity in wireless networks: efficient protocols and outage behavior. IEEE Trans-actions Inf Theory 50(12):3062\u20133080","journal-title":"IEEE Trans-actions Inf Theory"},{"issue":"2","key":"1042_CR3","doi-asserted-by":"publisher","first-page":"407","DOI":"10.1109\/TWC.2011.120810.100873","volume":"10","author":"Z Yi","year":"2010","unstructured":"Yi Z, Ju M, Kim IM (2010) Outage probability and optimum power allocation for analog network coding. IEEE Trans Wirel Commun 10(2):407\u2013412","journal-title":"IEEE Trans Wirel Commun"},{"issue":"5","key":"1042_CR4","doi-asserted-by":"publisher","first-page":"548","DOI":"10.1109\/LWC.2016.2600647","volume":"5","author":"N Kumar","year":"2016","unstructured":"Kumar N, Bhatia V (2016) Exact ASER analysis of rectangular QAM in two-way relaying networks over Nakagami-m fading channels. IEEE Wirel Commun Lett 5(5):548\u2013551","journal-title":"IEEE Wirel Commun Lett"},{"issue":"7","key":"1042_CR5","doi-asserted-by":"publisher","first-page":"1008","DOI":"10.1049\/iet-com.2016.0797","volume":"11","author":"N Kumar","year":"2017","unstructured":"Kumar N, Singya PK, Bhatia V (2017) Performance analysis of orthogonal frequency division multiplexing-based cooperative amplify-and-forward networks with non-linear power amplifier over independently but not necessarily identically distributed Nakagami-m fading channels. IET Commun 11(7):1008\u20131020","journal-title":"IET Commun"},{"key":"1042_CR6","doi-asserted-by":"publisher","first-page":"86","DOI":"10.1016\/j.aeue.2019.01.007","volume":"100","author":"Y Khattabi","year":"2019","unstructured":"Khattabi Y (2019) Exact error rate analysis of two-hop AF Rayleigh fading cooperative systems with variable amplification gain. AEU-Int J Electron Commun 100:86\u201394","journal-title":"AEU-Int J Electron Commun"},{"issue":"4","key":"1042_CR7","doi-asserted-by":"publisher","first-page":"1730","DOI":"10.1109\/TVT.2012.2188110","volume":"61","author":"C Zhong","year":"2021","unstructured":"Zhong C, Matthaiou M, Karagiannidis GK, Huang A, Zhang Z (2021) Capacity bounds for AF dual-hop relaying in fading channels. IEEE Trans Veh Technol 61(4):1730\u20131740","journal-title":"IEEE Trans Veh Technol"},{"issue":"2","key":"1042_CR8","doi-asserted-by":"publisher","first-page":"604","DOI":"10.1109\/COMST.2014.2386799","volume":"17","author":"F Mansourkiaie","year":"2014","unstructured":"Mansourkiaie F, Ahmed MH (2014) Cooperative routing in wireless net-works: a comprehensive survey. IEEE Commun Surv Tutor 17(2):604\u2013626","journal-title":"IEEE Commun Surv Tutor"},{"issue":"2","key":"1042_CR9","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1109\/JPROC.2002.808163","volume":"91","author":"D Brennan","year":"2003","unstructured":"Brennan D (2003) Linear diversity combining techniques. Proc IEEE 91(2):331\u2013356","journal-title":"Proc IEEE"},{"issue":"3","key":"1042_CR10","doi-asserted-by":"publisher","first-page":"659","DOI":"10.1109\/JSAC.2005.862417","volume":"24","author":"A Bletsas","year":"2006","unstructured":"Bletsas A, Khisti A, Reed DP, Lippman A (2006) A simple cooperative diversity method based on network path selection. IEEE J Sel Areas Commun 24(3):659\u2013672","journal-title":"IEEE J Sel Areas Commun"},{"key":"1042_CR11","doi-asserted-by":"crossref","unstructured":"Nakagami M (1960) The m-distribution-a general formula of intensity distribution of rapid fading. In: Statistical methods in radio wave propagation, pp 3-36. Elsevier","DOI":"10.1016\/B978-0-08-009306-2.50005-4"},{"issue":"7","key":"1042_CR12","doi-asserted-by":"publisher","first-page":"1262","DOI":"10.1109\/LCOMM.2014.2315616","volume":"18","author":"D Dixit","year":"2014","unstructured":"Dixit D, Sahu PR (2014) Performance analysis of rectangular QAM with SC receiver over Nakagami-m fading channels. IEEE Commun Lett 18(7):1262\u20131265","journal-title":"IEEE Commun Lett"},{"key":"1042_CR13","unstructured":"3GPP (2019) Digital cellular telecommunications system (Phase 2+) (GSM);Universal Mobile Telecommunications System (UMTS); LTE; 5G. Technical Specification (TS) 21.915, 3rd Generation Partnership Project(3GPP), Version 15.0.0"},{"key":"1042_CR14","doi-asserted-by":"crossref","unstructured":"Simon MK, Alouini M-S (2005) Digital communication over fading channels, p 95. John Wiley & Sons","DOI":"10.1002\/0471715220"},{"key":"1042_CR15","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/2010\/917954","volume":"2010","author":"XC Zhang","year":"2010","unstructured":"Zhang XC, Yu H, Wei G (2010) Exact symbol error probability of cross-QAM in AWGN and fading channels. EURASIP J Wirel Commun Netw 2010:1\u20139","journal-title":"EURASIP J Wirel Commun Netw"},{"issue":"8","key":"1042_CR16","doi-asserted-by":"publisher","first-page":"1523","DOI":"10.1109\/LCOMM.2016.2574343","volume":"20","author":"L Rugini","year":"2016","unstructured":"Rugini L (2016) Symbol error probability of hexagonal QAM. IEEE Commun Lett 20(8):1523\u20131526","journal-title":"IEEE Commun Lett"},{"key":"1042_CR17","doi-asserted-by":"crossref","unstructured":"Murphy CD (2000) High-order optimum hexagonal constellations. In: 11th IEEE International Symposium on personal indoor and mobile radio communications. PIMRC 2000. Proceedings (Cat. No. 00TH8525), vol. 1, pp. 143-146. IEEE","DOI":"10.1109\/PIMRC.2000.881407"},{"key":"1042_CR18","doi-asserted-by":"publisher","first-page":"101379","DOI":"10.1016\/j.phycom.2021.101379","volume":"47","author":"F Cogen","year":"2021","unstructured":"Cogen F, Aydin E (2021) Performance analysis of Hexagonal QAM constellations on quadrature spatial modulation with perfect and imperfect channel estimation. Phys Commun 47:101379","journal-title":"Phys Commun"},{"issue":"2","key":"1042_CR19","first-page":"76","volume":"5","author":"F Cogen","year":"2021","unstructured":"Cogen F, Aydin E (2021) Transmit antenna selection for spatial modulation based on hexagonal quadrature amplitude modulation. J Innov Sci Eng 5(2):76\u201390","journal-title":"J Innov Sci Eng"},{"issue":"2","key":"1042_CR20","doi-asserted-by":"publisher","first-page":"1815","DOI":"10.1109\/TVT.2017.2758028","volume":"67","author":"N Kumar","year":"2017","unstructured":"Kumar N, Singya PK, Bhatia V (2017) ASER analysis of hexagonal and rectangular QAM schemes in multiple-relay networks. IEEE Trans Veh Technol 67(2):1815\u20131819","journal-title":"IEEE Trans Veh Technol"},{"issue":"1","key":"1042_CR21","first-page":"122","volume":"6","author":"N Kumar","year":"2016","unstructured":"Kumar N, Sharma S, Bhatia V (2016) Performance analysis of OFDM-based nonlinear AF multiple-relay systems. IEEE Wirel Commun Lett 6(1):122\u2013125","journal-title":"IEEE Wirel Commun Lett"},{"issue":"18","key":"1042_CR22","doi-asserted-by":"publisher","first-page":"3223","DOI":"10.1049\/iet-com.2014.0369","volume":"8","author":"CAR Fernandes","year":"2014","unstructured":"Fernandes CAR, da Costa DB, de Almeida AL (2014) Performance analysis of cooperative amplify-and-forward orthogonal frequency division multiplexing systems with power amplifier non-linearity. IET Commun 8(18):3223\u20133233","journal-title":"IET Commun"},{"issue":"6","key":"1042_CR23","doi-asserted-by":"publisher","first-page":"e3102","DOI":"10.1002\/dac.3102","volume":"30","author":"M Maletic","year":"2017","unstructured":"Maletic M, Cabarkapa M, Neskovic N (2017) Performance of fixed-gain amplify-and-forward nonlinear relaying with hardware impairments. Int J Commun Syst 30(6):e3102","journal-title":"Int J Commun Syst"},{"issue":"5","key":"1042_CR24","doi-asserted-by":"publisher","first-page":"3808","DOI":"10.1109\/TVT.2015.2436713","volume":"65","author":"DE Simmons","year":"2015","unstructured":"Simmons DE, Coon JP (2015) Two-way OFDM-based nonlinear amplify-and-forward relay systems. IEEE Trans Veh Technol 65(5):3808\u20133812","journal-title":"IEEE Trans Veh Technol"},{"issue":"9","key":"1042_CR25","doi-asserted-by":"publisher","first-page":"1329","DOI":"10.1016\/j.aeue.2016.07.007","volume":"70","author":"DA Sousa","year":"2016","unstructured":"Sousa DA, Fernandes CAR, Fernandes CER (2016) Outage and SER analysis of DF cooperative OFDM systems with nonlinear power amplifiers. AEU-Int J Electron Commun 70(9):1329\u20131338","journal-title":"AEU-Int J Electron Commun"},{"issue":"10","key":"1042_CR26","first-page":"4163","volume":"65","author":"E Balti","year":"2017","unstructured":"Balti E, Guizani M (2017) Impact of non-linear high-power amplifiers on cooperative relaying systems. IEEE Trans Commun 65(10):4163\u20134175","journal-title":"IEEE Trans Commun"},{"issue":"3","key":"1042_CR27","doi-asserted-by":"publisher","first-page":"3244","DOI":"10.1109\/TVT.2020.2964628","volume":"69","author":"M Majidi","year":"2020","unstructured":"Majidi M, Mohammadi A, Abdipour A, Valkama M (2020) (2020) Characterization and performance improvement of cooperative wireless networks with nonlinear power amplifier at relay. IEEE Trans Veh Technol 69(3):3244\u20133255","journal-title":"IEEE Trans Veh Technol"},{"key":"1042_CR28","doi-asserted-by":"publisher","first-page":"60602","DOI":"10.1109\/ACCESS.2019.2915375","volume":"7","author":"PK Singya","year":"2019","unstructured":"Singya PK, Kumar N, Bhatia V, Alouini M-S (2019) On performance of hexagonal, cross, and rectangular QAM for multi-relay systems. IEEE Access 7:60602\u201360616","journal-title":"IEEE Access"},{"key":"1042_CR29","doi-asserted-by":"crossref","unstructured":"Singya PK, Kumar N, Bhatia V (2018) Performance analysis of opportunistic two-way 3P-ANC multi-relay system with imperfect CSI and NLPA. In: 2018 IEEE global communications conference (GLOBE-COM), pp 206-212. IEEE","DOI":"10.1109\/GLOCOM.2018.8647874"},{"issue":"1","key":"1042_CR30","doi-asserted-by":"publisher","first-page":"305","DOI":"10.1007\/s12083-020-00946-x","volume":"14","author":"M Bilim","year":"2021","unstructured":"Bilim M (2021) Dual-branch SC wireless systems with HQAM for beyond 5G over $$\\eta -\\mu $$ fading channels. Peer-to-Peer Netw Appl 14(1):305\u2013318","journal-title":"Peer-to-Peer Netw Appl"},{"issue":"6","key":"1042_CR31","doi-asserted-by":"publisher","first-page":"1835","DOI":"10.1109\/LCOMM.2021.3058212","volume":"25","author":"D Dixit","year":"2021","unstructured":"Dixit D, Kumar N, Sharma S, Bhatia V, Panic S, Stefanovic S (2021) On the ASER performance of UAV-based communication systems for QAM schemes. IEEE Commun Lett 25(6):1835\u20131838","journal-title":"IEEE Commun Lett"},{"issue":"1","key":"1042_CR32","doi-asserted-by":"publisher","first-page":"e4119","DOI":"10.1002\/ett.4119","volume":"32","author":"M Bilim","year":"2021","unstructured":"Bilim M (2021) Different QAM schemes analyses for ARS fading channels. Trans Emerg Telecommun Technol 32(1):e4119","journal-title":"Trans Emerg Telecommun Technol"},{"key":"1042_CR33","doi-asserted-by":"crossref","unstructured":"Shaik P, Singya PK, Bhatia V, V. (2019) On impact of imperfect CSI over hexagonal QAM for TAS\/MRC-MIMO cooperative relay network. IEEE Commun Lett 23(10):1721\u20131724","DOI":"10.1109\/LCOMM.2019.2931433"},{"key":"1042_CR34","doi-asserted-by":"publisher","first-page":"261","DOI":"10.1016\/j.phycom.2019.04.005","volume":"34","author":"M Bilim","year":"2019","unstructured":"Bilim M (2019) QAM signaling over $$\\kappa -\\mu $$ shadowed fading channels. Phys Commun 34:261\u2013271","journal-title":"Phys Commun"},{"key":"1042_CR35","doi-asserted-by":"publisher","first-page":"153883","DOI":"10.1016\/j.aeue.2021.153883","volume":"138","author":"D Dixit","year":"2021","unstructured":"Dixit D, Kumar N, Mandpura AK (2021) On the ASER performance of SC receiver with RQAM and HQAM over $$\\kappa -\\mu $$ fading. AEU-Int J Electron Commun 138:153883","journal-title":"AEU-Int J Electron Commun"},{"key":"1042_CR36","unstructured":"Gradshteyn IS, Ryzhik IM (2014) Table of integrals, series, and products. Academic press"},{"issue":"28","key":"1042_CR37","doi-asserted-by":"publisher","first-page":"7771","DOI":"10.1088\/0305-4470\/36\/28\/307","volume":"36","author":"N Saad","year":"2003","unstructured":"Saad N, Hall RL (2003) Integrals containing confluent hypergeometric functions with applications to perturbed singular potentials. J Phys A Math Gen 36(28):7771","journal-title":"J Phys A Math Gen"},{"key":"1042_CR38","doi-asserted-by":"crossref","unstructured":"Singya PK, Kumar N, Bhatia V, Alouini M-S (2020) On the performance analysis of higher order QAM schemes over mixed RF\/FSO systems. IEEE Trans Veh Technol 69(7):7366\u20137378","DOI":"10.1109\/TVT.2020.2990747"},{"key":"1042_CR39","doi-asserted-by":"publisher","first-page":"2499","DOI":"10.1109\/ACCESS.2019.2962975","volume":"8","author":"S Parvez","year":"2019","unstructured":"Parvez S, Singya PK, Bhatia V (2019) On ASER analysis of energy efficient modulation schemes for a device-to-device MIMO relay network. IEEE Access 8:2499\u20132512","journal-title":"IEEE Access"}],"container-title":["Annals of Telecommunications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12243-024-01042-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12243-024-01042-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12243-024-01042-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,23]],"date-time":"2025-01-23T07:46:17Z","timestamp":1737618377000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12243-024-01042-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,5,29]]},"references-count":39,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2025,2]]}},"alternative-id":["1042"],"URL":"https:\/\/doi.org\/10.1007\/s12243-024-01042-4","relation":{},"ISSN":["0003-4347","1958-9395"],"issn-type":[{"type":"print","value":"0003-4347"},{"type":"electronic","value":"1958-9395"}],"subject":[],"published":{"date-parts":[[2024,5,29]]},"assertion":[{"value":"19 November 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 May 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 May 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The author declares no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}