{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T13:10:51Z","timestamp":1761743451233},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Wireless Com Network"],"published-print":{"date-parts":[[2010,12]]},"DOI":"10.1155\/2010\/917954","type":"journal-article","created":{"date-parts":[[2010,12,29]],"date-time":"2010-12-29T19:38:51Z","timestamp":1293651531000},"source":"Crossref","is-referenced-by-count":26,"title":["Exact Symbol Error Probability of Cross-QAM in AWGN and Fading Channels"],"prefix":"10.1186","volume":"2010","author":[{"given":"Xi-chun","family":"Zhang","sequence":"first","affiliation":[]},{"given":"Hua","family":"Yu","sequence":"additional","affiliation":[]},{"given":"Gang","family":"Wei","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2010,11,30]]},"reference":[{"issue":"3","key":"2059_CR1","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1109\/TCOM.1975.1092806","volume":"23","author":"JG Smith","year":"1975","unstructured":"Smith JG: Odd-bit quadrature amplitude-shift keying. IEEE Transactions on Communications 1975, 23(3):385-389. 10.1109\/TCOM.1975.1092806","journal-title":"IEEE Transactions on Communications"},{"key":"2059_CR2","first-page":"1352","volume":"2","author":"S Panigrahi","year":"2005","unstructured":"Panigrahi S, Le-Ngoc T: Fine-granularity loading schemes using adaptive Reed-Solomon coding for discrete multitone modulation systems. Proceedings of the IEEE International Conference on Communications (ICC '05), May 2005, Seoul, Korea 2: 1352-1356.","journal-title":"Proceedings of the IEEE International Conference on Communications (ICC '05)"},{"issue":"1","key":"2059_CR3","first-page":"3","volume":"2","author":"A Ahrens","year":"2006","unstructured":"Ahrens A, Lange C: Bit and power loading for wireline multicarrier transmission systems. Transactions on Advanced Research 2006, 2(1):3-9.","journal-title":"Transactions on Advanced Research"},{"issue":"6","key":"2059_CR4","doi-asserted-by":"publisher","first-page":"414","DOI":"10.1049\/ip-com:20030859","volume":"150","author":"M Zwingelstein-Colin","year":"2003","unstructured":"Zwingelstein-Colin M, Gazalet M, Gharbi M: Non-iterative bit-loading algorithm for ADSL-type DMT applications. IEE Proceedings 2003, 150(6):414-418. 10.1049\/ip-com:20030859","journal-title":"IEE Proceedings"},{"key":"2059_CR5","first-page":"2289","volume":"3","author":"M Sternad","year":"2004","unstructured":"Sternad M, Falahati S: Maximizing througput with adaptive M-QAM based on imperfect channel predictions. Proceedings of the IEEE International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC '04), 2004 3: 2289-2293.","journal-title":"Proceedings of the IEEE International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC '04)"},{"issue":"1","key":"2059_CR6","first-page":"547","volume":"58","author":"W Wang","year":"2003","unstructured":"Wang W, Ottosson T, Sternad M, Ahl\u00e9n A, Svensson A: Impact of multiuser diversity and channel variability on adaptive OFDM. Proceedings of the IEEE Vehicular Technology Conference (VTC '03), 2003 58(1):547-551.","journal-title":"Proceedings of the IEEE Vehicular Technology Conference (VTC '03)"},{"key":"2059_CR7","unstructured":"Demjanenko V, Marzec P, Torres A: Reasons to use non squared QAM constellations with independent I&Q in PAN systems. submitted to IEEE P802.15-15-03, 0311-00-003a, August 2003, http:\/\/www.vocal.com\/white_paper\/15030311.pdf"},{"key":"2059_CR8","unstructured":"Asymmetric digital subscriber line (ADSL) transceivers ITU-T Std. G.992.1, June 1999"},{"key":"2059_CR9","unstructured":"Very high speed digital subscriber line transceivers ITU-T Std. G.993.1, June 2004"},{"key":"2059_CR10","unstructured":"Digital Video Broadcasting (DVB) : Framing Structure, Channel Coding and Modulation for Cable Systems. ETSI Std. EN 300 429, April 1998, http:\/\/www.etsi.org\/deliver\/etsi_en\/300400_300499\/300429\/01.02.01_60\/en_300429v010201p.pdf ETSI Std. EN 300 429, April 1998, http:\/\/www.etsi.org\/deliver\/etsi_en\/300400_300499\/300429\/01.02.01_60\/en_300429v010201p.pdf"},{"key":"2059_CR11","first-page":"2825","volume-title":"Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP '08)","author":"S Colonnese","year":"2008","unstructured":"Colonnese S, Panci G, Rinauro S, Scarano G: High SNR performance analysis of a blind frequency offset estimator for cross QAM communication. Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP '08), March 2008, Las Vegas, Nev, USA 2825-2828."},{"key":"2059_CR12","doi-asserted-by":"publisher","first-page":"388","DOI":"10.1109\/GLOCOM.2005.1577655","volume":"1","author":"KV Cartwright","year":"2005","unstructured":"Cartwright KV, Kaminsky EJ: Blind phase recovery in cross QAM communication systems with the Reduced-Constellation Eighth-Order Estimator (RCEOE). Proceedings of the IEEE Global Telecommunications Conference (GLOBECOM '05), November 2005, St. Louis, Mo, USA 1: 388-392.","journal-title":"Proceedings of the IEEE Global Telecommunications Conference (GLOBECOM '05)"},{"issue":"12","key":"2059_CR13","doi-asserted-by":"publisher","first-page":"745","DOI":"10.1109\/LSP.2006.879828","volume":"13","author":"S Abrar","year":"2006","unstructured":"Abrar S, Qureshi IM: Blind equalization of cross-QAM signals. IEEE Signal Processing Letters 2006, 13(12):745-748.","journal-title":"IEEE Signal Processing Letters"},{"issue":"12","key":"2059_CR14","doi-asserted-by":"publisher","first-page":"304","DOI":"10.1109\/97.975873","volume":"8","author":"KV Cartwright","year":"2001","unstructured":"Cartwright KV: Blind phase recovery in cross QAM communication systems with eighth-order statistics. IEEE Signal Processing Letters 2001, 8(12):304-306. 10.1109\/97.975873","journal-title":"IEEE Signal Processing Letters"},{"key":"2059_CR15","volume-title":"Digital Communications","author":"JG Proakis","year":"2001","unstructured":"Proakis JG: Digital Communications. 4th edition. McGraw Hill, Chicago, Ill, USA; 2001.","edition":"4th"},{"issue":"6","key":"2059_CR16","doi-asserted-by":"publisher","first-page":"3039","DOI":"10.1109\/TWC.2005.857997","volume":"4","author":"PK Vitthaladevuni","year":"2005","unstructured":"Vitthaladevuni PK, Alouini M-S, Kieffer JC: Exact BER computation for cross QAM constellations. IEEE Transactions on Wireless Communications 2005, 4(6):3039-3050.","journal-title":"IEEE Transactions on Wireless Communications"},{"issue":"4","key":"2059_CR17","doi-asserted-by":"publisher","first-page":"310","DOI":"10.1109\/LCOM.2007.348284","volume":"11","author":"NC Beaulieu","year":"2007","unstructured":"Beaulieu NC, Chen Y: Closed-form expressions for the exact symbol error probability of 32-cross-QAM in AWGN and in slow Nakagami fading. IEEE Communications Letters 2007, 11(4):310-312.","journal-title":"IEEE Communications Letters"},{"issue":"1","key":"2059_CR18","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/2008\/121383","volume":"12","author":"J Li","year":"2008","unstructured":"Li J, Zhang XD, Beaulieu NC: Precise calculation of the SEP of 128- and 512-Cross-QAM in AWGN. IEEE Communications Letters 2008, 12(1):1-3.","journal-title":"IEEE Communications Letters"},{"issue":"4","key":"2059_CR19","doi-asserted-by":"publisher","first-page":"1230","DOI":"10.1109\/TSP.2005.862783","volume":"54","author":"HY Liu","year":"2006","unstructured":"Liu HY, Yen RY: Error probability for orthogonal space-time block code diversity system using rectangular QAM transmission over Rayleigh fading channels. IEEE Transactions on Signal Processing 2006, 54(4):1230-1241.","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"5","key":"2059_CR20","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1109\/LCOMM.2010.05.100162","volume":"14","author":"H Yu","year":"2010","unstructured":"Yu H, Wei G: Symbol error probability of cross QAM in rayleigh fading channels. IEEE Communications Letters 2010, 14(5):375-377.","journal-title":"IEEE Communications Letters"},{"key":"2059_CR21","volume-title":"Digital Communication over Fading Channels","author":"M Simon","year":"2005","unstructured":"Simon M, Alouini M-S: Digital Communication over Fading Channels. 2nd edition. John Wiley & Sons, New York, NY, USA; 2005.","edition":"2"},{"issue":"2","key":"2059_CR22","doi-asserted-by":"publisher","first-page":"200","DOI":"10.1109\/26.659479","volume":"46","author":"MK Simon","year":"1998","unstructured":"Simon MK: Some new twists to problems involving the gaussian probability integral. IEEE Transactions on Communications 1998, 46(2):200-210. 10.1109\/26.659479","journal-title":"IEEE Transactions on Communications"},{"issue":"2","key":"2059_CR23","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1109\/4234.984687","volume":"6","author":"MK Simon","year":"2002","unstructured":"Simon MK: A simpler form of the craig representation for the two-dimensional joint Gaussian Q-function. IEEE Communications Letters 2002, 6(2):49-51. 10.1109\/4234.984687","journal-title":"IEEE Communications Letters"},{"issue":"11","key":"2059_CR24","doi-asserted-by":"publisher","first-page":"3328","DOI":"10.1109\/TCOMM.2009.11.080479","volume":"57","author":"GTF De Abreu","year":"2009","unstructured":"De Abreu GTF: Jensen-cotes upper and lower bounds on the Gaussian Q-function and related functions. IEEE Transactions on Communications 2009, 57(11):3328-3338.","journal-title":"IEEE Transactions on Communications"},{"issue":"12","key":"2059_CR25","doi-asserted-by":"publisher","first-page":"958","DOI":"10.1109\/LCOMM.2007.070831","volume":"11","author":"X Lei","year":"2007","unstructured":"Lei X, Fan P, Hao L: Exact symbol error probability of general order rectangular QAM with MRC diversity reception over Nakagami-m fading channels. IEEE Communications Letters 2007, 11(12):958-960.","journal-title":"IEEE Communications Letters"},{"issue":"8","key":"2059_CR26","doi-asserted-by":"publisher","first-page":"1289","DOI":"10.1109\/TCOMM.2008.060452","volume":"56","author":"RK Mallik","year":"2008","unstructured":"Mallik RK: Average of product of two Gaussian Q-functions and its application to performance analysis in Nakagami fading. IEEE Transactions on Communications 2008, 56(8):1289-1299.","journal-title":"IEEE Transactions on Communications"},{"issue":"5","key":"2059_CR27","doi-asserted-by":"publisher","first-page":"802","DOI":"10.1109\/TCOMM.2006.874003","volume":"54","author":"NC Beaulieu","year":"2006","unstructured":"Beaulieu NC: A useful integral for wireless communication theory and its application to rectangular signaling constellation error rates. IEEE Transactions on Communications 2006, 54(5):802-805.","journal-title":"IEEE Transactions on Communications"},{"issue":"1","key":"2059_CR28","doi-asserted-by":"publisher","first-page":"214","DOI":"10.1109\/TCOMM.2009.0901.060523","volume":"57","author":"A Maaref","year":"2009","unstructured":"Maaref A, A\u00efssa S: Exact error probability analysis of rectangular QAM for single- and multichannel reception in Nakagami-m fading channels. IEEE Transactions on Communications 2009, 57(1):214-221.","journal-title":"IEEE Transactions on Communications"},{"issue":"10","key":"2059_CR29","doi-asserted-by":"publisher","first-page":"805","DOI":"10.1109\/LCOMM.2007.070832","volume":"11","author":"X Lei","year":"2007","unstructured":"Lei X, Fan P, Chen Q: On the average of the product of two Gaussian Q-functions over Nakagami-q (Hoyt) fading and its application. IEEE Communications Letters 2007, 11(10):805-807.","journal-title":"IEEE Communications Letters"}],"container-title":["EURASIP Journal on Wireless Communications and Networking"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1155\/2010\/917954.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T19:16:46Z","timestamp":1565205406000},"score":1,"resource":{"primary":{"URL":"https:\/\/jwcn-eurasipjournals.springeropen.com\/articles\/10.1155\/2010\/917954"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,11,30]]},"references-count":29,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2010,12]]}},"alternative-id":["2059"],"URL":"https:\/\/doi.org\/10.1155\/2010\/917954","relation":{},"ISSN":["1687-1499"],"issn-type":[{"value":"1687-1499","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,11,30]]},"article-number":"917954"}}