New 3D 16-Ary Signal Constellations and Their Symbol Error Probabilities in AWGN and Rayleigh Fading Channels
Two three-dimensional (3D) 16-ary signal constellations having extended lattice structures are presented in this paper. The theoretical symbol error probabilities (SEPs) of the new constellations in additive white Gaussian noise (AWGN) and Rayleigh fading channel are derived. Computer simulation con...
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description | Two three-dimensional (3D) 16-ary signal constellations having extended lattice structures are presented in this paper. The theoretical symbol error probabilities (SEPs) of the new constellations in additive white Gaussian noise (AWGN) and Rayleigh fading channel are derived. Computer simulation confirms that the closed-form expressions for average SEPs of the constellations in the AWGN channel are very accurate. The theoretical SEP upper bounds in the Rayleigh fading channel are very tight. Since the presented constellations have larger minimum Euclidean distance (MED) than the conventional one, error performance can be improved up to 0.9 dB in an AWGN environment. Hence, the proposed constellations and their theoretical analysis can be used as a reference for the development of a wireless communication system with 3D signal constellations. |
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The theoretical symbol error probabilities (SEPs) of the new constellations in additive white Gaussian noise (AWGN) and Rayleigh fading channel are derived. Computer simulation confirms that the closed-form expressions for average SEPs of the constellations in the AWGN channel are very accurate. The theoretical SEP upper bounds in the Rayleigh fading channel are very tight. Since the presented constellations have larger minimum Euclidean distance (MED) than the conventional one, error performance can be improved up to 0.9 dB in an AWGN environment. Hence, the proposed constellations and their theoretical analysis can be used as a reference for the development of a wireless communication system with 3D signal constellations.</description><identifier>ISSN: 1530-8669</identifier><identifier>EISSN: 1530-8677</identifier><identifier>DOI: 10.1155/2018/7178631</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Algorithms ; Codes ; Communications systems ; Computer simulation ; Constellations ; Errors ; Euclidean geometry ; Fading ; Probability ; Random noise ; Upper bounds ; Wireless communication systems ; Wireless communications</subject><ispartof>Wireless communications and mobile computing, 2018-01, Vol.2018 (2018), p.1-6</ispartof><rights>Copyright © 2018 Zhenxing Chen et al.</rights><rights>Copyright © 2018 Zhenxing Chen et al. This work is licensed under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c360t-615d2dba5d39b96d0539bef691793dcb0b77eb5e83bf919b834f2f4ac4e9b8a43</citedby><cites>FETCH-LOGICAL-c360t-615d2dba5d39b96d0539bef691793dcb0b77eb5e83bf919b834f2f4ac4e9b8a43</cites><orcidid>0000-0003-3695-2276 ; 0000-0002-5329-3551</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><contributor>Darsena, Donatella</contributor><contributor>Donatella Darsena</contributor><creatorcontrib>Kang, Seog Geun</creatorcontrib><creatorcontrib>Li, Shuang</creatorcontrib><creatorcontrib>Liu, Jiaheng</creatorcontrib><creatorcontrib>Chen, Zhenxing</creatorcontrib><title>New 3D 16-Ary Signal Constellations and Their Symbol Error Probabilities in AWGN and Rayleigh Fading Channels</title><title>Wireless communications and mobile computing</title><description>Two three-dimensional (3D) 16-ary signal constellations having extended lattice structures are presented in this paper. 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Hence, the proposed constellations and their theoretical analysis can be used as a reference for the development of a wireless communication system with 3D signal constellations.</description><subject>Algorithms</subject><subject>Codes</subject><subject>Communications systems</subject><subject>Computer simulation</subject><subject>Constellations</subject><subject>Errors</subject><subject>Euclidean geometry</subject><subject>Fading</subject><subject>Probability</subject><subject>Random noise</subject><subject>Upper bounds</subject><subject>Wireless communication systems</subject><subject>Wireless communications</subject><issn>1530-8669</issn><issn>1530-8677</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqF0M9LwzAUB_AiCs7pzbMEPGpdfrRJexx1m4JMcROPJWnSNSNLZ9Ix-t_b2aFHT-_74MOD9w2CawQfEIrjEYYoGTHEEkrQSTBAMYFhQhk7_c00PQ8uvF9DCAnEaBBs5moPyCNANBy7Fiz0ynIDstr6RhnDG90lwK0Ey0ppBxbtRtQGTJyrHXhzteBCG91o5YG2YPw5m__gd94apVcVmHKp7QpkFbdWGX8ZnJXceHV1nMPgYzpZZk_hy-vsORu_hAWhsAkpiiWWgseSpCKlEsbdVCVNEUuJLAQUjCkRq4SIMkWpSEhU4jLiRaS6hUdkGNz2d7eu_top3-Treue6z3yOI8goTiJEOnXfq8LV3jtV5lunN9y1OYL5odD8UGh-LLTjdz2vtJV8r__TN71WnVEl_9MYUQwp-QYwOX4D</recordid><startdate>20180101</startdate><enddate>20180101</enddate><creator>Kang, Seog Geun</creator><creator>Li, Shuang</creator><creator>Liu, Jiaheng</creator><creator>Chen, Zhenxing</creator><general>Hindawi Publishing Corporation</general><general>Hindawi</general><general>Hindawi Limited</general><scope>ADJCN</scope><scope>AHFXO</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7XB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0N</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>Q9U</scope><orcidid>https://orcid.org/0000-0003-3695-2276</orcidid><orcidid>https://orcid.org/0000-0002-5329-3551</orcidid></search><sort><creationdate>20180101</creationdate><title>New 3D 16-Ary Signal Constellations and Their Symbol Error Probabilities in AWGN and Rayleigh Fading Channels</title><author>Kang, Seog Geun ; 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The theoretical symbol error probabilities (SEPs) of the new constellations in additive white Gaussian noise (AWGN) and Rayleigh fading channel are derived. Computer simulation confirms that the closed-form expressions for average SEPs of the constellations in the AWGN channel are very accurate. The theoretical SEP upper bounds in the Rayleigh fading channel are very tight. Since the presented constellations have larger minimum Euclidean distance (MED) than the conventional one, error performance can be improved up to 0.9 dB in an AWGN environment. Hence, the proposed constellations and their theoretical analysis can be used as a reference for the development of a wireless communication system with 3D signal constellations.</abstract><cop>Cairo, Egypt</cop><pub>Hindawi Publishing Corporation</pub><doi>10.1155/2018/7178631</doi><tpages>6</tpages><orcidid>https://orcid.org/0000-0003-3695-2276</orcidid><orcidid>https://orcid.org/0000-0002-5329-3551</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | Algorithms Codes Communications systems Computer simulation Constellations Errors Euclidean geometry Fading Probability Random noise Upper bounds Wireless communication systems Wireless communications |
title | New 3D 16-Ary Signal Constellations and Their Symbol Error Probabilities in AWGN and Rayleigh Fading Channels |
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