Noncircularity
The letter examines the second-order noncircular properties of Fourier coefficients that are estimated from a time stationary sampled sequence. If X(m)=(1//spl radic/M)/spl Sigma//sub n=0//sup M-1/x(n)exp(i2/spl pi/mn/M), where x(n) is a time stationary data sequence, then the noncircular character...
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| Veröffentlicht in: | IEEE signal processing letters 1996-05, Vol.3 (5), p.156-157 |
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| container_end_page | 157 |
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| container_issue | 5 |
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| container_title | IEEE signal processing letters |
| container_volume | 3 |
| creator | Edelblute, D.J. |
| description | The letter examines the second-order noncircular properties of Fourier coefficients that are estimated from a time stationary sampled sequence. If X(m)=(1//spl radic/M)/spl Sigma//sub n=0//sup M-1/x(n)exp(i2/spl pi/mn/M), where x(n) is a time stationary data sequence, then the noncircular character of X(m) is shown by E[X/sup 2/(m)]=2A(m)csc(2/spl pi/m/M)exp (i2/spl pi/m/M), where A(m) is the sine transform of the autocorrelation function of x(n). The signal processing implications of this are not yet clear, but it appears that it could degrade the performance of a detector by as much as 1.5 dB. |
| doi_str_mv | 10.1109/97.491660 |
| format | Article |
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If X(m)=(1//spl radic/M)/spl Sigma//sub n=0//sup M-1/x(n)exp(i2/spl pi/mn/M), where x(n) is a time stationary data sequence, then the noncircular character of X(m) is shown by E[X/sup 2/(m)]=2A(m)csc(2/spl pi/m/M)exp (i2/spl pi/m/M), where A(m) is the sine transform of the autocorrelation function of x(n). The signal processing implications of this are not yet clear, but it appears that it could degrade the performance of a detector by as much as 1.5 dB.</description><identifier>ISSN: 1070-9908</identifier><identifier>EISSN: 1558-2361</identifier><identifier>DOI: 10.1109/97.491660</identifier><identifier>CODEN: ISPLEM</identifier><language>eng</language><publisher>IEEE</publisher><subject>Autocorrelation ; Data analysis ; Degradation ; Detectors ; Discrete Fourier transforms ; Equations ; Probability density function ; Random variables ; Signal processing</subject><ispartof>IEEE signal processing letters, 1996-05, Vol.3 (5), p.156-157</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c277t-2d0a083abf6441f95adaee04327f42375facf320807117fe0216fb00b37ceaf43</citedby><cites>FETCH-LOGICAL-c277t-2d0a083abf6441f95adaee04327f42375facf320807117fe0216fb00b37ceaf43</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/491660$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27915,27916,54749</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/491660$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Edelblute, D.J.</creatorcontrib><title>Noncircularity</title><title>IEEE signal processing letters</title><addtitle>LSP</addtitle><description>The letter examines the second-order noncircular properties of Fourier coefficients that are estimated from a time stationary sampled sequence. If X(m)=(1//spl radic/M)/spl Sigma//sub n=0//sup M-1/x(n)exp(i2/spl pi/mn/M), where x(n) is a time stationary data sequence, then the noncircular character of X(m) is shown by E[X/sup 2/(m)]=2A(m)csc(2/spl pi/m/M)exp (i2/spl pi/m/M), where A(m) is the sine transform of the autocorrelation function of x(n). The signal processing implications of this are not yet clear, but it appears that it could degrade the performance of a detector by as much as 1.5 dB.</description><subject>Autocorrelation</subject><subject>Data analysis</subject><subject>Degradation</subject><subject>Detectors</subject><subject>Discrete Fourier transforms</subject><subject>Equations</subject><subject>Probability density function</subject><subject>Random variables</subject><subject>Signal processing</subject><issn>1070-9908</issn><issn>1558-2361</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1996</creationdate><recordtype>article</recordtype><recordid>eNo9z09LAzEQBfAgCtaq4NUPIHjYdibJ7iRHKf6DYi96Dtl0Aivbbk12D_32rmzx9Abej4EnxB3CAhHs0tJCW6wqOBMzLEtTSFXh-XgDQWEtmEtxlfM3ABg05UzcfnT70KQwtD41_fFaXETfZr455Vx8vTx_rt6K9eb1ffW0LoIk6gu5BQ9G-TpWWmO0pd96ZtBKUtRSURl9iEqCAUKkyCCxijVArSiwj1rNxcP095C6n4Fz73ZNDty2fs_dkJ00WmlCGOHjBEPqck4c3SE1O5-ODsH9LXaW3LR4tPeTbZj5353KX1gsToU</recordid><startdate>19960501</startdate><enddate>19960501</enddate><creator>Edelblute, D.J.</creator><general>IEEE</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>19960501</creationdate><title>Noncircularity</title><author>Edelblute, D.J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c277t-2d0a083abf6441f95adaee04327f42375facf320807117fe0216fb00b37ceaf43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1996</creationdate><topic>Autocorrelation</topic><topic>Data analysis</topic><topic>Degradation</topic><topic>Detectors</topic><topic>Discrete Fourier transforms</topic><topic>Equations</topic><topic>Probability density function</topic><topic>Random variables</topic><topic>Signal processing</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Edelblute, D.J.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems 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><jtitle>IEEE signal processing letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Edelblute, D.J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Noncircularity</atitle><jtitle>IEEE signal processing letters</jtitle><stitle>LSP</stitle><date>1996-05-01</date><risdate>1996</risdate><volume>3</volume><issue>5</issue><spage>156</spage><epage>157</epage><pages>156-157</pages><issn>1070-9908</issn><eissn>1558-2361</eissn><coden>ISPLEM</coden><abstract>The letter examines the second-order noncircular properties of Fourier coefficients that are estimated from a time stationary sampled sequence. If X(m)=(1//spl radic/M)/spl Sigma//sub n=0//sup M-1/x(n)exp(i2/spl pi/mn/M), where x(n) is a time stationary data sequence, then the noncircular character of X(m) is shown by E[X/sup 2/(m)]=2A(m)csc(2/spl pi/m/M)exp (i2/spl pi/m/M), where A(m) is the sine transform of the autocorrelation function of x(n). The signal processing implications of this are not yet clear, but it appears that it could degrade the performance of a detector by as much as 1.5 dB.</abstract><pub>IEEE</pub><doi>10.1109/97.491660</doi><tpages>2</tpages></addata></record> |
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| identifier | ISSN: 1070-9908 |
| ispartof | IEEE signal processing letters, 1996-05, Vol.3 (5), p.156-157 |
| issn | 1070-9908 1558-2361 |
| language | eng |
| recordid | cdi_crossref_primary_10_1109_97_491660 |
| source | IEEE Electronic Library (IEL) |
| subjects | Autocorrelation Data analysis Degradation Detectors Discrete Fourier transforms Equations Probability density function Random variables Signal processing |
| title | Noncircularity |
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