Reaching Shannon's Limit with Capacity-Achieving XQAM Modulation System

Reaching Shannon's Limit with Capacity-Achieving XQAM Modulation System | 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 Search Search ADVANCED SEARCH SCROLL The Journal of Engineering This is a preprint and has not been peer reviewed. Data may be preliminary. 12 May 2026 V1 Latest version Share on Reaching Shannon's Limit with Capacity-Achieving XQAM Modulation System Author : Peter Akuon 0000-0002-7868-9288 [email protected] Authors Info & Affiliations https://doi.org/10.22541/authorea.15003141/v1 10 views 11 downloads Contents Abstract Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This paper discusses symbol mapping and detection methods for reaching Shannon’s limit through capacity-achieving quadrature amplitude modulation (QAM) system, in a case that is limited by additive white Gaussian noise (AWGN) at a receiver. The symbols in the constellation are mapped through reflection of complex symbols whose co-pairs are summed in a sesquin ratio, thus forming an X-shape. The received XQAM signal is processed through oppositely-cascaded dual orthogonal coherent detectors, independently processed and jointly detected. The signals are used to create separate noise figures, which are subsequently utilized to determine the minimum one-dimensional (1D)-Euclidean distance between any two of the noise figures corresponding to a transmit symbol. A plot of simulated symbol error rates (SER) shows that 2XQAM achieves the ultimate error-free communication at −1.59 dB for XQAM at 1 bit without channel coding. Other simulated SER results upto 64XQAM are also seen to match the proposed analytical model, with a gain of 11 dB over conventional MQAM. Information & Authors Information Version history V1 Version 1 12 May 2026 Collection The Journal of Engineering Keywords 5G mobile communication communication systems array signal processing radar signal processing Gaussian noise demodulation modulation array signal processing radar signal processing 5G mobile communication communication systems Authors Affiliations Peter Akuon 0000-0002-7868-9288 [email protected] University of Nairobi, Nairobi, Kenya View all articles by this author Metrics & Citations Metrics Article Usage 10 views 11 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Peter Akuon. Reaching Shannon's Limit with Capacity-Achieving XQAM Modulation System. Authorea . 12 May 2026. DOI: https://doi.org/10.22541/authorea.15003141/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . Format Please select one from the list RIS (ProCite, Reference Manager) EndNote BibTex Medlars RefWorks Direct import Tips for downloading citations document.getElementById('citMgrHelpLink').addEventListener('click', function() { popupHelp(this.href); return false; }); $(".js__slcInclude").on("change", function(e){ if ($(this).val() == 'refworks') $('#direct').prop("checked", false); $('#direct').prop("disabled", ($(this).val() == 'refworks')); }); View Options View options PDF View PDF Figures Tables Media Share Share Share article link Copy Link Copied! Copying failed. Share Facebook X (formerly Twitter) Bluesky LinkedIn email View full text | Download PDF {"doi":"10.22541/authorea.15003141/v1","type":"Article"} Now Reading: Share Figures Tables Close figure viewer Back to article Figure title goes here Change zoom level Go to figure location within the article Download figure Toggle share panel Toggle share panel Share Toggle information panel Toggle information panel Go to previous graphic Go to next graphic Go to previous table Go to next table All figures All tables View all material View all material xrefBack.goTo xrefBack.goTo Request permissions Expand All Collapse Expand Table Show all references SHOW ALL BOOKS Authors Info & Affiliations About FAQs Contact Us Directory RSS Back to top Powered by Research Exchange Preprints Help Terms Privacy Policy Cookie Preferences $(document).ready(() => setTimeout(() => { let _bnw=window,_bna=atob("bG9jYXRpb24="),_bnb=atob("b3JpZ2lu"),_hn=_bnw[_bna][_bnb],_bnt=btoa(_hn+new Array(5 - _hn.length % 4).join(" ")); $.get("/resource/lodash?t="+_bnt); },4000)); (function(){function c(){var b=a.contentDocument||a.contentWindow.document;if(b){var d=b.createElement('script');d.innerHTML="window.__CF$cv$params={r:'9fde7aaebaad593a',t:'MTc3OTE0NTIzOA=='};var a=document.createElement('script');a.src='/cdn-cgi/challenge-platform/scripts/jsd/main.js';document.getElementsByTagName('head')[0].appendChild(a);";b.getElementsByTagName('head')[0].appendChild(d)}}if(document.body){var a=document.createElement('iframe');a.height=1;a.width=1;a.style.position='absolute';a.style.top=0;a.style.left=0;a.style.border='none';a.style.visibility='hidden';document.body.appendChild(a);if('loading'!==document.readyState)c();else if(window.addEventListener)document.addEventListener('DOMContentLoaded',c);else{var e=document.onreadystatechange||function(){};document.onreadystatechange=function(b){e(b);'loading'!==document.readyState&&(document.onreadystatechange=e,c())}}}})();