Product of two Gaussian Q-functions as sum of exponentials and its applications
In this paper, product of two Gaussian- Q functions is represented as sum of exponentials. It is further used to evaluate error probabilities of modulation techniques in fading distributions. The knowledge of moment generating function (MGF) is sufficient enough to derive closed-form solution to int...
Gespeichert in:
| Veröffentlicht in: | Annales des télécommunications 2022-04, Vol.77 (3-4), p.151-161 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 161 |
|---|---|
| container_issue | 3-4 |
| container_start_page | 151 |
| container_title | Annales des télécommunications |
| container_volume | 77 |
| creator | Aggarwal, Supriya |
| description | In this paper, product of two Gaussian-
Q
functions is represented as sum of exponentials. It is further used to evaluate error probabilities of modulation techniques in fading distributions. The knowledge of moment generating function (MGF) is sufficient enough to derive closed-form solution to integrals appearing in symbol error probability (SEP). Numerical results demonstrate accuracy improvement over other existing competing approximations. Furthermore, the proposed solutions are fairly simple as MGF of fading models comprises of fundamental mathematical functions. |
| doi_str_mv | 10.1007/s12243-021-00864-w |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2638492545</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2638492545</sourcerecordid><originalsourceid>FETCH-LOGICAL-c270t-7f310099f13764b466857e1b05037c3e48562431fce7c4b2afdce45a06aa03973</originalsourceid><addsrcrecordid>eNp9kE9LAzEQxYMoWKtfwNOC5-jk_-5RilahUAU9hzRNZEubrMku1W9v2hW8eRqY-b03Mw-hawK3BEDdZUIpZxgowQC15Hh_giakETVuWCNO0QQAGOaMq3N0kfMGQIISYoKWLymuB9tX0Vf9PlZzM-TcmlC9Yj8E27cx5MrkKg-7A-K-uhhc6FuzLe2wrtq-1K7bttYc2Ut05svMXf3WKXp_fHibPeHFcv48u19gSxX0WHlW7m4aT5iSfMWlrIVyZAUCmLLM8VrI8hDx1inLV9T4tXVcGJDGAGsUm6Kb0bdL8XNwudebOKRQVmoqWc0bKrgoFB0pm2LOyXndpXZn0rcmoA_B6TE4XYLTx-D0vojYKMoFDh8u_Vn_o_oBTo1wig</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2638492545</pqid></control><display><type>article</type><title>Product of two Gaussian Q-functions as sum of exponentials and its applications</title><source>Springer Nature - Complete Springer Journals</source><creator>Aggarwal, Supriya</creator><creatorcontrib>Aggarwal, Supriya</creatorcontrib><description>In this paper, product of two Gaussian-
Q
functions is represented as sum of exponentials. It is further used to evaluate error probabilities of modulation techniques in fading distributions. The knowledge of moment generating function (MGF) is sufficient enough to derive closed-form solution to integrals appearing in symbol error probability (SEP). Numerical results demonstrate accuracy improvement over other existing competing approximations. Furthermore, the proposed solutions are fairly simple as MGF of fading models comprises of fundamental mathematical functions.</description><identifier>ISSN: 0003-4347</identifier><identifier>EISSN: 1958-9395</identifier><identifier>DOI: 10.1007/s12243-021-00864-w</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Circuits ; Communications Engineering ; Computer Communication Networks ; Engineering ; Fading ; Information and Communication ; Information Systems and Communication Service ; Mathematical functions ; Networks ; R & D/Technology Policy ; Signal,Image and Speech Processing</subject><ispartof>Annales des télécommunications, 2022-04, Vol.77 (3-4), p.151-161</ispartof><rights>Institut Mines-Télécom and Springer Nature Switzerland AG 2021</rights><rights>Institut Mines-Télécom and Springer Nature Switzerland AG 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c270t-7f310099f13764b466857e1b05037c3e48562431fce7c4b2afdce45a06aa03973</cites><orcidid>0000-0002-1976-9579</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s12243-021-00864-w$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s12243-021-00864-w$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51297</link.rule.ids></links><search><creatorcontrib>Aggarwal, Supriya</creatorcontrib><title>Product of two Gaussian Q-functions as sum of exponentials and its applications</title><title>Annales des télécommunications</title><addtitle>Ann. Telecommun</addtitle><description>In this paper, product of two Gaussian-
Q
functions is represented as sum of exponentials. It is further used to evaluate error probabilities of modulation techniques in fading distributions. The knowledge of moment generating function (MGF) is sufficient enough to derive closed-form solution to integrals appearing in symbol error probability (SEP). Numerical results demonstrate accuracy improvement over other existing competing approximations. Furthermore, the proposed solutions are fairly simple as MGF of fading models comprises of fundamental mathematical functions.</description><subject>Circuits</subject><subject>Communications Engineering</subject><subject>Computer Communication Networks</subject><subject>Engineering</subject><subject>Fading</subject><subject>Information and Communication</subject><subject>Information Systems and Communication Service</subject><subject>Mathematical functions</subject><subject>Networks</subject><subject>R & D/Technology Policy</subject><subject>Signal,Image and Speech Processing</subject><issn>0003-4347</issn><issn>1958-9395</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kE9LAzEQxYMoWKtfwNOC5-jk_-5RilahUAU9hzRNZEubrMku1W9v2hW8eRqY-b03Mw-hawK3BEDdZUIpZxgowQC15Hh_giakETVuWCNO0QQAGOaMq3N0kfMGQIISYoKWLymuB9tX0Vf9PlZzM-TcmlC9Yj8E27cx5MrkKg-7A-K-uhhc6FuzLe2wrtq-1K7bttYc2Ut05svMXf3WKXp_fHibPeHFcv48u19gSxX0WHlW7m4aT5iSfMWlrIVyZAUCmLLM8VrI8hDx1inLV9T4tXVcGJDGAGsUm6Kb0bdL8XNwudebOKRQVmoqWc0bKrgoFB0pm2LOyXndpXZn0rcmoA_B6TE4XYLTx-D0vojYKMoFDh8u_Vn_o_oBTo1wig</recordid><startdate>20220401</startdate><enddate>20220401</enddate><creator>Aggarwal, Supriya</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-1976-9579</orcidid></search><sort><creationdate>20220401</creationdate><title>Product of two Gaussian Q-functions as sum of exponentials and its applications</title><author>Aggarwal, Supriya</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c270t-7f310099f13764b466857e1b05037c3e48562431fce7c4b2afdce45a06aa03973</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Circuits</topic><topic>Communications Engineering</topic><topic>Computer Communication Networks</topic><topic>Engineering</topic><topic>Fading</topic><topic>Information and Communication</topic><topic>Information Systems and Communication Service</topic><topic>Mathematical functions</topic><topic>Networks</topic><topic>R & D/Technology Policy</topic><topic>Signal,Image and Speech Processing</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Aggarwal, Supriya</creatorcontrib><collection>CrossRef</collection><jtitle>Annales des télécommunications</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Aggarwal, Supriya</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Product of two Gaussian Q-functions as sum of exponentials and its applications</atitle><jtitle>Annales des télécommunications</jtitle><stitle>Ann. Telecommun</stitle><date>2022-04-01</date><risdate>2022</risdate><volume>77</volume><issue>3-4</issue><spage>151</spage><epage>161</epage><pages>151-161</pages><issn>0003-4347</issn><eissn>1958-9395</eissn><abstract>In this paper, product of two Gaussian-
Q
functions is represented as sum of exponentials. It is further used to evaluate error probabilities of modulation techniques in fading distributions. The knowledge of moment generating function (MGF) is sufficient enough to derive closed-form solution to integrals appearing in symbol error probability (SEP). Numerical results demonstrate accuracy improvement over other existing competing approximations. Furthermore, the proposed solutions are fairly simple as MGF of fading models comprises of fundamental mathematical functions.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s12243-021-00864-w</doi><tpages>11</tpages><orcidid>https://orcid.org/0000-0002-1976-9579</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0003-4347 |
| ispartof | Annales des télécommunications, 2022-04, Vol.77 (3-4), p.151-161 |
| issn | 0003-4347 1958-9395 |
| language | eng |
| recordid | cdi_proquest_journals_2638492545 |
| source | Springer Nature - Complete Springer Journals |
| subjects | Circuits Communications Engineering Computer Communication Networks Engineering Fading Information and Communication Information Systems and Communication Service Mathematical functions Networks R & D/Technology Policy Signal,Image and Speech Processing |
| title | Product of two Gaussian Q-functions as sum of exponentials and its applications |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-23T22%3A03%3A06IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Product%20of%20two%20Gaussian%20Q-functions%20as%20sum%20of%20exponentials%20and%20its%20applications&rft.jtitle=Annales%20des%20t%C3%A9l%C3%A9communications&rft.au=Aggarwal,%20Supriya&rft.date=2022-04-01&rft.volume=77&rft.issue=3-4&rft.spage=151&rft.epage=161&rft.pages=151-161&rft.issn=0003-4347&rft.eissn=1958-9395&rft_id=info:doi/10.1007/s12243-021-00864-w&rft_dat=%3Cproquest_cross%3E2638492545%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2638492545&rft_id=info:pmid/&rfr_iscdi=true |