Analytical Expressions for the Power Spectral Density of CP-OFDM and ZP-OFDM Signals
In this letter, analytical expressions are derived for the power spectral density (PSD) of orthogonal frequency division multiplex (OFDM) signals employing a cyclic prefix (CP-OFDM) or zero padding (ZP-OFDM) time guard interval. Under the relatively weak assumptions that (i) the data are independent...
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| Veröffentlicht in: | IEEE signal processing letters 2010-04, Vol.17 (4), p.371-374 |
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| container_title | IEEE signal processing letters |
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| creator | van Waterschoot, T. Le Nir, V. Duplicy, J. Moonen, M. |
| description | In this letter, analytical expressions are derived for the power spectral density (PSD) of orthogonal frequency division multiplex (OFDM) signals employing a cyclic prefix (CP-OFDM) or zero padding (ZP-OFDM) time guard interval. Under the relatively weak assumptions that (i) the data are independent and identically distributed on all OFDM subcarriers and (ii) the OFDM pulse shape is sufficiently localized in time, simple closed-form PSD expressions can be obtained. These expressions are then compared to existing OFDM PSD expressions and validated by inspecting the power spectra of some standardized OFDM signals. |
| doi_str_mv | 10.1109/LSP.2010.2040651 |
| format | Article |
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Under the relatively weak assumptions that (i) the data are independent and identically distributed on all OFDM subcarriers and (ii) the OFDM pulse shape is sufficiently localized in time, simple closed-form PSD expressions can be obtained. These expressions are then compared to existing OFDM PSD expressions and validated by inspecting the power spectra of some standardized OFDM signals.</description><identifier>ISSN: 1070-9908</identifier><identifier>EISSN: 1558-2361</identifier><identifier>DOI: 10.1109/LSP.2010.2040651</identifier><identifier>CODEN: ISPLEM</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Cyclic prefix (CP) ; Density ; Exact solutions ; Filters ; Frequency division ; Frequency division multiplexing ; Frequency estimation ; Guards ; Interpolation ; Intersymbol interference ; Mathematical analysis ; OFDM modulation ; orthogonal frequency division multiplex (OFDM) ; Orthogonal Frequency Division Multiplexing ; Power spectra ; power spectral density (PSD) ; Pulse shaping methods ; Shape ; Signal analysis ; Spectra ; Transmitters ; zero padding (ZP)</subject><ispartof>IEEE signal processing letters, 2010-04, Vol.17 (4), p.371-374</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Apr 2010</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c388t-edf48cd940a1734e52255ea8b8ed88ac231f2d590b31c539e8e777cb36bee8ed3</citedby><cites>FETCH-LOGICAL-c388t-edf48cd940a1734e52255ea8b8ed88ac231f2d590b31c539e8e777cb36bee8ed3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/5382590$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/5382590$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>van Waterschoot, T.</creatorcontrib><creatorcontrib>Le Nir, V.</creatorcontrib><creatorcontrib>Duplicy, J.</creatorcontrib><creatorcontrib>Moonen, M.</creatorcontrib><title>Analytical Expressions for the Power Spectral Density of CP-OFDM and ZP-OFDM Signals</title><title>IEEE signal processing letters</title><addtitle>LSP</addtitle><description>In this letter, analytical expressions are derived for the power spectral density (PSD) of orthogonal frequency division multiplex (OFDM) signals employing a cyclic prefix (CP-OFDM) or zero padding (ZP-OFDM) time guard interval. Under the relatively weak assumptions that (i) the data are independent and identically distributed on all OFDM subcarriers and (ii) the OFDM pulse shape is sufficiently localized in time, simple closed-form PSD expressions can be obtained. These expressions are then compared to existing OFDM PSD expressions and validated by inspecting the power spectra of some standardized OFDM signals.</description><subject>Cyclic prefix (CP)</subject><subject>Density</subject><subject>Exact solutions</subject><subject>Filters</subject><subject>Frequency division</subject><subject>Frequency division multiplexing</subject><subject>Frequency estimation</subject><subject>Guards</subject><subject>Interpolation</subject><subject>Intersymbol interference</subject><subject>Mathematical analysis</subject><subject>OFDM modulation</subject><subject>orthogonal frequency division multiplex (OFDM)</subject><subject>Orthogonal Frequency Division Multiplexing</subject><subject>Power spectra</subject><subject>power spectral density (PSD)</subject><subject>Pulse shaping methods</subject><subject>Shape</subject><subject>Signal analysis</subject><subject>Spectra</subject><subject>Transmitters</subject><subject>zero padding (ZP)</subject><issn>1070-9908</issn><issn>1558-2361</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkM1LAzEUxIMoWKt3wUvw4mlrPjab5Fj6oUKlhdaLl7Cbfatb2s2abNH-96a0ePD05sFvhmEQuqVkQCnRj7PlYsBI_BhJSSboGepRIVTCeEbPoyaSJFoTdYmuQlgTQhRVoodWwybf7Lva5hs8-Wk9hFC7JuDKedx9Al64b_B42YLtfETG0IS622NX4dEimU_HrzhvSvx-0sv6I8aFa3RRxQM3p9tHb9PJavSczOZPL6PhLLFcqS6BskqVLXVKcip5CoIxISBXhYJSqdwyTitWCk0KTq3gGhRIKW3BswKiLnkfPRxzW---dhA6s62Dhc0mb8DtglFSEMYymkby_h-5djt_6Go0lZqlSuoIkSNkvQvBQ2VaX29zvzeUmMPIJo5sDiOb08jRcne01ADwhwuuWKzNfwFStHZu</recordid><startdate>20100401</startdate><enddate>20100401</enddate><creator>van Waterschoot, T.</creator><creator>Le Nir, V.</creator><creator>Duplicy, J.</creator><creator>Moonen, M.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>F28</scope><scope>FR3</scope></search><sort><creationdate>20100401</creationdate><title>Analytical Expressions for the Power Spectral Density of CP-OFDM and ZP-OFDM Signals</title><author>van Waterschoot, T. ; Le Nir, V. ; Duplicy, J. ; Moonen, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c388t-edf48cd940a1734e52255ea8b8ed88ac231f2d590b31c539e8e777cb36bee8ed3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Cyclic prefix (CP)</topic><topic>Density</topic><topic>Exact solutions</topic><topic>Filters</topic><topic>Frequency division</topic><topic>Frequency division multiplexing</topic><topic>Frequency estimation</topic><topic>Guards</topic><topic>Interpolation</topic><topic>Intersymbol interference</topic><topic>Mathematical analysis</topic><topic>OFDM modulation</topic><topic>orthogonal frequency division multiplex (OFDM)</topic><topic>Orthogonal Frequency Division Multiplexing</topic><topic>Power spectra</topic><topic>power spectral density (PSD)</topic><topic>Pulse shaping methods</topic><topic>Shape</topic><topic>Signal analysis</topic><topic>Spectra</topic><topic>Transmitters</topic><topic>zero padding (ZP)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>van Waterschoot, T.</creatorcontrib><creatorcontrib>Le Nir, V.</creatorcontrib><creatorcontrib>Duplicy, J.</creatorcontrib><creatorcontrib>Moonen, M.</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><jtitle>IEEE signal processing letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>van Waterschoot, T.</au><au>Le Nir, V.</au><au>Duplicy, J.</au><au>Moonen, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytical Expressions for the Power Spectral Density of CP-OFDM and ZP-OFDM Signals</atitle><jtitle>IEEE signal processing letters</jtitle><stitle>LSP</stitle><date>2010-04-01</date><risdate>2010</risdate><volume>17</volume><issue>4</issue><spage>371</spage><epage>374</epage><pages>371-374</pages><issn>1070-9908</issn><eissn>1558-2361</eissn><coden>ISPLEM</coden><abstract>In this letter, analytical expressions are derived for the power spectral density (PSD) of orthogonal frequency division multiplex (OFDM) signals employing a cyclic prefix (CP-OFDM) or zero padding (ZP-OFDM) time guard interval. Under the relatively weak assumptions that (i) the data are independent and identically distributed on all OFDM subcarriers and (ii) the OFDM pulse shape is sufficiently localized in time, simple closed-form PSD expressions can be obtained. These expressions are then compared to existing OFDM PSD expressions and validated by inspecting the power spectra of some standardized OFDM signals.</abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/LSP.2010.2040651</doi><tpages>4</tpages></addata></record> |
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| ispartof | IEEE signal processing letters, 2010-04, Vol.17 (4), p.371-374 |
| issn | 1070-9908 1558-2361 |
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| source | IEEE Electronic Library (IEL) |
| subjects | Cyclic prefix (CP) Density Exact solutions Filters Frequency division Frequency division multiplexing Frequency estimation Guards Interpolation Intersymbol interference Mathematical analysis OFDM modulation orthogonal frequency division multiplex (OFDM) Orthogonal Frequency Division Multiplexing Power spectra power spectral density (PSD) Pulse shaping methods Shape Signal analysis Spectra Transmitters zero padding (ZP) |
| title | Analytical Expressions for the Power Spectral Density of CP-OFDM and ZP-OFDM Signals |
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