The Mysterious Behavior of Term by Term Expectation
Generalizing detection performance expressions by incorporating new fading models such as Weibul and generalized Gamma （α-μ） can be accomplished at the expense of mathematical complexity. Non-integer powers combined with exponential or special functions represent a real challenge in evaluating the n...
Gespeichert in:
| Veröffentlicht in: | 通讯和计算机：中英文版 2013, Vol.10 (7), p.909-917 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 917 |
|---|---|
| container_issue | 7 |
| container_start_page | 909 |
| container_title | 通讯和计算机：中英文版 |
| container_volume | 10 |
| creator | Yasser Fathi Mohammed Hassan Mohammed HazimTawfik |
| description | Generalizing detection performance expressions by incorporating new fading models such as Weibul and generalized Gamma （α-μ） can be accomplished at the expense of mathematical complexity. Non-integer powers combined with exponential or special functions represent a real challenge in evaluating the necessary integrals. In this paper the authors highlight the divergence problems associated with solving complicated integrals by series expansions focusing on detection problems and illustrating the common mistakes encountered when carrying term by term integration. Additionally, the authors collected different mathematical theories to consolidate the sufficient conditions to achieve convergent results. |
| format | Article |
| fullrecord | <record><control><sourceid>chongqing</sourceid><recordid>TN_cdi_chongqing_primary_47991633</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><cqvip_id>47991633</cqvip_id><sourcerecordid>47991633</sourcerecordid><originalsourceid>FETCH-chongqing_primary_479916333</originalsourceid><addsrcrecordid>eNpjYuA0tDQ20DU0NTVmAbJNTSx0zc0NLDkYuIqLswwMTM0NjM05GYxDMlIVfCuLS1KLMvNLixWcUjMSyzLzixTy0xRCUotyFZIqIbRrRUFqckliSWZ-Hg8Da1piTnEqL5TmZlB0cw1x9tBNzsjPSy_MzEuPLyjKzE0sqow3Mbe0NDQzNjYmRg0A_Es0DQ</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>The Mysterious Behavior of Term by Term Expectation</title><source>Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals</source><source>Alma/SFX Local Collection</source><creator>Yasser Fathi Mohammed Hassan Mohammed HazimTawfik</creator><creatorcontrib>Yasser Fathi Mohammed Hassan Mohammed HazimTawfik</creatorcontrib><description>Generalizing detection performance expressions by incorporating new fading models such as Weibul and generalized Gamma （α-μ） can be accomplished at the expense of mathematical complexity. Non-integer powers combined with exponential or special functions represent a real challenge in evaluating the necessary integrals. In this paper the authors highlight the divergence problems associated with solving complicated integrals by series expansions focusing on detection problems and illustrating the common mistakes encountered when carrying term by term integration. Additionally, the authors collected different mathematical theories to consolidate the sufficient conditions to achieve convergent results.</description><identifier>ISSN: 1548-7709</identifier><identifier>EISSN: 1930-1553</identifier><language>eng</language><subject>充分条件 ; 数学理论 ; 期望 ; 期限 ; 检测性能 ; 级数展开 ; 行为 ; 衰落模型</subject><ispartof>通讯和计算机：中英文版, 2013, Vol.10 (7), p.909-917</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://image.cqvip.com/vip1000/qk/88584X/88584X.jpg</thumbnail><link.rule.ids>314,776,780,4010</link.rule.ids></links><search><creatorcontrib>Yasser Fathi Mohammed Hassan Mohammed HazimTawfik</creatorcontrib><title>The Mysterious Behavior of Term by Term Expectation</title><title>通讯和计算机：中英文版</title><addtitle>Journal of Communication and Computer</addtitle><description>Generalizing detection performance expressions by incorporating new fading models such as Weibul and generalized Gamma （α-μ） can be accomplished at the expense of mathematical complexity. Non-integer powers combined with exponential or special functions represent a real challenge in evaluating the necessary integrals. In this paper the authors highlight the divergence problems associated with solving complicated integrals by series expansions focusing on detection problems and illustrating the common mistakes encountered when carrying term by term integration. Additionally, the authors collected different mathematical theories to consolidate the sufficient conditions to achieve convergent results.</description><subject>充分条件</subject><subject>数学理论</subject><subject>期望</subject><subject>期限</subject><subject>检测性能</subject><subject>级数展开</subject><subject>行为</subject><subject>衰落模型</subject><issn>1548-7709</issn><issn>1930-1553</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNpjYuA0tDQ20DU0NTVmAbJNTSx0zc0NLDkYuIqLswwMTM0NjM05GYxDMlIVfCuLS1KLMvNLixWcUjMSyzLzixTy0xRCUotyFZIqIbRrRUFqckliSWZ-Hg8Da1piTnEqL5TmZlB0cw1x9tBNzsjPSy_MzEuPLyjKzE0sqow3Mbe0NDQzNjYmRg0A_Es0DQ</recordid><startdate>2013</startdate><enddate>2013</enddate><creator>Yasser Fathi Mohammed Hassan Mohammed HazimTawfik</creator><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>W92</scope><scope>~WA</scope></search><sort><creationdate>2013</creationdate><title>The Mysterious Behavior of Term by Term Expectation</title><author>Yasser Fathi Mohammed Hassan Mohammed HazimTawfik</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-chongqing_primary_479916333</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>充分条件</topic><topic>数学理论</topic><topic>期望</topic><topic>期限</topic><topic>检测性能</topic><topic>级数展开</topic><topic>行为</topic><topic>衰落模型</topic><toplevel>online_resources</toplevel><creatorcontrib>Yasser Fathi Mohammed Hassan Mohammed HazimTawfik</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库-工程技术</collection><collection>中文科技期刊数据库- 镜像站点</collection><jtitle>通讯和计算机：中英文版</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yasser Fathi Mohammed Hassan Mohammed HazimTawfik</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The Mysterious Behavior of Term by Term Expectation</atitle><jtitle>通讯和计算机：中英文版</jtitle><addtitle>Journal of Communication and Computer</addtitle><date>2013</date><risdate>2013</risdate><volume>10</volume><issue>7</issue><spage>909</spage><epage>917</epage><pages>909-917</pages><issn>1548-7709</issn><eissn>1930-1553</eissn><abstract>Generalizing detection performance expressions by incorporating new fading models such as Weibul and generalized Gamma （α-μ） can be accomplished at the expense of mathematical complexity. Non-integer powers combined with exponential or special functions represent a real challenge in evaluating the necessary integrals. In this paper the authors highlight the divergence problems associated with solving complicated integrals by series expansions focusing on detection problems and illustrating the common mistakes encountered when carrying term by term integration. Additionally, the authors collected different mathematical theories to consolidate the sufficient conditions to achieve convergent results.</abstract></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1548-7709 |
| ispartof | 通讯和计算机：中英文版, 2013, Vol.10 (7), p.909-917 |
| issn | 1548-7709 1930-1553 |
| language | eng |
| recordid | cdi_chongqing_primary_47991633 |
| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Alma/SFX Local Collection |
| subjects | 充分条件 数学理论 期望 期限 检测性能 级数展开 行为 衰落模型 |
| title | The Mysterious Behavior of Term by Term Expectation |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-11T09%3A55%3A03IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-chongqing&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=The%20Mysterious%20Behavior%20of%20Term%20by%20Term%20Expectation&rft.jtitle=%E9%80%9A%E8%AE%AF%E5%92%8C%E8%AE%A1%E7%AE%97%E6%9C%BA%EF%BC%9A%E4%B8%AD%E8%8B%B1%E6%96%87%E7%89%88&rft.au=Yasser%20Fathi%20Mohammed%20Hassan%20Mohammed%20HazimTawfik&rft.date=2013&rft.volume=10&rft.issue=7&rft.spage=909&rft.epage=917&rft.pages=909-917&rft.issn=1548-7709&rft.eissn=1930-1553&rft_id=info:doi/&rft_dat=%3Cchongqing%3E47991633%3C/chongqing%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_cqvip_id=47991633&rfr_iscdi=true |