{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,26]],"date-time":"2026-08-26T15:46:33Z","timestamp":1787759193338,"version":"build-2784847793"},"reference-count":39,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"10","license":[{"start":{"date-parts":[[2015,10,1]],"date-time":"2015-10-01T00:00:00Z","timestamp":1443657600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Signal Process. Lett."],"published-print":{"date-parts":[[2015,10]]},"DOI":"10.1109\/lsp.2015.2432064","type":"journal-article","created":{"date-parts":[[2015,5,12]],"date-time":"2015-05-12T18:32:50Z","timestamp":1431455570000},"page":"1752-1756","source":"Crossref","is-referenced-by-count":42,"title":["Solutions to Integrals Involving the Marcum &lt;formula formulatype=\"inline\"&gt;&lt;tex Notation=\"TeX\"&gt;$Q$&lt;\/tex&gt;&lt;\/formula&gt;-Function and Applications"],"prefix":"10.1109","volume":"22","author":[{"given":"Paschalis C.","family":"Sofotasios","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sami","family":"Muhaidat","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"George K.","family":"Karagiannidis","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bayan S.","family":"Sharif","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/25.775366"},{"key":"ref38","author":"gradshteyn","year":"2007","journal-title":"Table of Integrals Series and Products"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TVT.2014.2298387"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/JCN.2014.000004"},{"key":"ref31","first-page":"501","article-title":"Outage behaviour of cooperative underlay cognitive networks with inaccurate channel estimation","author":"ho-van","year":"2013","journal-title":"Proc IEEE ICUFN?13"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/ATC.2013.6698147"},{"key":"ref37","doi-asserted-by":"crossref","DOI":"10.1201\/9781584889571","author":"brychkov","year":"2008","journal-title":"Handbook of Special Functions Derivatives Integrals Series and Other Formulas"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/JCN.2015.000030"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/GLOCOM.2014.7037348"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.4108\/icst.crowncom.2014.255376"},{"key":"ref10","first-page":"1","article-title":"Novel expressions for the one and two dimensional gaussian <formula formulatype=\"inline\"><tex Notation=\"TeX\">$Q$<\/tex> <\/formula>-functions","author":"sofotasios","year":"2010","journal-title":"Proc ICWITS?10"},{"key":"ref11","article-title":"A novel representation for the nuttall <formula formulatype=\"inline\"><tex Notation=\"TeX\">$Q$<\/tex><\/formula>-function","author":"sofotasios","year":"2010","journal-title":"Proc ICWITS ?10"},{"key":"ref12","first-page":"736","article-title":"Novel expressions for the marcum and one dimensional <formula formulatype=\"inline\"><tex Notation=\"TeX\">$Q$<\/tex><\/formula>-functions","author":"sofotasios","year":"2010","journal-title":"Proc 7th ISWCS?10"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1080\/10652460212896"},{"key":"ref14","first-page":"1","article-title":"Simple and accurate approximations for the two dimensional Gaussian <formula formulatype=\"inline\"><tex Notation=\"TeX\">$Q$<\/tex> <\/formula>-function","author":"sofotasios","year":"2011","journal-title":"Proc IEEE VTC-Spring ?11"},{"key":"ref15","first-page":"44","article-title":"Novel results for the incomplete toronto function and incomplete lipschitz-hankel integrals","author":"sofotasios","year":"2011","journal-title":"Proc IEEE IMOC ?11"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1049\/el.2012.1115"},{"key":"ref17","article-title":"Upper and lower bounds for the rice <formula formulatype=\"inline\"><tex Notation=\"TeX\">$Ie$<\/tex><\/formula> function","author":"sofotasios","year":"2011","journal-title":"Proceedings of ATNAC"},{"key":"ref18","first-page":"1","article-title":"New analytic expressions for the rice <formula formulatype=\"inline\"><tex Notation=\"TeX\">$Ie$<\/tex><\/formula>-function and the incomplete Lipschitz-Hankel integrals","author":"sofotasios","year":"2011","journal-title":"IEEE INDICON"},{"key":"ref19","first-page":"420","article-title":"Analytic results for efficient computation of the nuttall-<formula formulatype=\"inline\"><tex Notation=\"TeX\">$Q$<\/tex> <\/formula> and incomplete Toronto functions","author":"sofotasios","year":"2013","journal-title":"Proc IEEE ATC?13"},{"key":"ref4","author":"simon","year":"2005","journal-title":"Digital Communication Over Fading Channels"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/ATC.2013.6698191"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2003.814344"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TVT.2012.2228680"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TVT.2012.2192509"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1049\/iet-com.2013.0254"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1080\/10652469.2011.573184"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TVT.2014.2327231"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TVT.2012.2227864"},{"key":"ref2","doi-asserted-by":"crossref","DOI":"10.21236\/AD0779846","author":"nuttall","year":"1974","journal-title":"Some integrals involving the -function"},{"key":"ref1","author":"marcum","year":"1950","journal-title":"?Table of Q-functions U S air force project RAND Res Memo M-339 ASTIA document AD 1165451 ?"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2006.887483"},{"key":"ref20","doi-asserted-by":"crossref","first-page":"2938","DOI":"10.1109\/TSP.2014.2319772","article-title":"Laplace transform of product of generalized marcum <formula formulatype=\"inline\"><tex Notation=\"TeX\">$Q$<\/tex><\/formula>, Bessel <formula formulatype=\"inline\"><tex Notation=\"TeX\">$I$<\/tex><\/formula>, and power functions with applications","volume":"62","author":"ermolova","year":"2014","journal-title":"IEEE Trans Signal Process"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2360388"},{"key":"ref21","first-page":"260","article-title":"Analytic solutions to a marcum <formula formulatype=\"inline\"><tex Notation=\"TeX\">$Q$<\/tex> <\/formula>-function-based integral and application in energy detection","author":"sofotasios","year":"2014","journal-title":"Proc CROWNCOM?14"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/VETECF.2011.6093023"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/LCOMM.2009.090169"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/ICUFN.2013.6614893"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2011.071111.090349"}],"container-title":["IEEE Signal Processing Letters"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/97\/7059273\/07105844.pdf?arnumber=7105844","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T16:47:58Z","timestamp":1642006078000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7105844\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,10]]},"references-count":39,"journal-issue":{"issue":"10"},"URL":"https:\/\/doi.org\/10.1109\/lsp.2015.2432064","relation":{},"ISSN":["1070-9908","1558-2361"],"issn-type":[{"value":"1070-9908","type":"print"},{"value":"1558-2361","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,10]]}}}