Fourier spectrum extrapolation and enhancement using support constraints
The use of support constraints for improving the quality of Fourier spectra estimates is discussed. It is shown that superresolution is an additive phenomenon that is a function of the correlation scale induced by the support constraint, and it is independent of the bandwidth of the measured Fourier...
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| Veröffentlicht in: | IEEE transactions on signal processing 1994-01, Vol.42 (1), p.156-163 |
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| container_title | IEEE transactions on signal processing |
| container_volume | 42 |
| creator | Matson, C.L. |
| description | The use of support constraints for improving the quality of Fourier spectra estimates is discussed. It is shown that superresolution is an additive phenomenon that is a function of the correlation scale induced by the support constraint, and it is independent of the bandwidth of the measured Fourier spectrum. It is also shown for power spectra that support constraints, due to the enforced correlation of power spectra, reduce the variance of measured power spectra. These theoretical results are validated via computer simulation in the area of speckle interferometry, with very good agreement shown between theory and simulation.< > |
| doi_str_mv | 10.1109/78.258130 |
| format | Article |
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It is shown that superresolution is an additive phenomenon that is a function of the correlation scale induced by the support constraint, and it is independent of the bandwidth of the measured Fourier spectrum. It is also shown for power spectra that support constraints, due to the enforced correlation of power spectra, reduce the variance of measured power spectra. These theoretical results are validated via computer simulation in the area of speckle interferometry, with very good agreement shown between theory and simulation.< ></description><identifier>ISSN: 1053-587X</identifier><identifier>EISSN: 1941-0476</identifier><identifier>DOI: 10.1109/78.258130</identifier><identifier>CODEN: ITPRED</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Applied sciences ; Bandwidth ; Computational modeling ; Computer simulation ; Deconvolution ; Exact sciences and technology ; Extrapolation ; Information, signal and communications theory ; Interferometry ; Noise level ; Power measurement ; Signal and communications theory ; Signal representation. 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It is shown that superresolution is an additive phenomenon that is a function of the correlation scale induced by the support constraint, and it is independent of the bandwidth of the measured Fourier spectrum. It is also shown for power spectra that support constraints, due to the enforced correlation of power spectra, reduce the variance of measured power spectra. These theoretical results are validated via computer simulation in the area of speckle interferometry, with very good agreement shown between theory and simulation.< ></description><subject>Applied sciences</subject><subject>Bandwidth</subject><subject>Computational modeling</subject><subject>Computer simulation</subject><subject>Deconvolution</subject><subject>Exact sciences and technology</subject><subject>Extrapolation</subject><subject>Information, signal and communications theory</subject><subject>Interferometry</subject><subject>Noise level</subject><subject>Power measurement</subject><subject>Signal and communications theory</subject><subject>Signal representation. 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Spectral analysis</topic><topic>Signal resolution</topic><topic>Signal, noise</topic><topic>Speckle</topic><topic>Telecommunications and information theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Matson, C.L.</creatorcontrib><collection>Pascal-Francis</collection><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 transactions on signal processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Matson, C.L.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fourier spectrum extrapolation and enhancement using support constraints</atitle><jtitle>IEEE transactions on signal processing</jtitle><stitle>TSP</stitle><date>1994-01</date><risdate>1994</risdate><volume>42</volume><issue>1</issue><spage>156</spage><epage>163</epage><pages>156-163</pages><issn>1053-587X</issn><eissn>1941-0476</eissn><coden>ITPRED</coden><abstract>The use of support constraints for improving the quality of Fourier spectra estimates is discussed. It is shown that superresolution is an additive phenomenon that is a function of the correlation scale induced by the support constraint, and it is independent of the bandwidth of the measured Fourier spectrum. It is also shown for power spectra that support constraints, due to the enforced correlation of power spectra, reduce the variance of measured power spectra. These theoretical results are validated via computer simulation in the area of speckle interferometry, with very good agreement shown between theory and simulation.< ></abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/78.258130</doi><tpages>8</tpages></addata></record> |
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| identifier | ISSN: 1053-587X |
| ispartof | IEEE transactions on signal processing, 1994-01, Vol.42 (1), p.156-163 |
| issn | 1053-587X 1941-0476 |
| language | eng |
| recordid | cdi_pascalfrancis_primary_3948282 |
| source | IEEE Electronic Library (IEL) |
| subjects | Applied sciences Bandwidth Computational modeling Computer simulation Deconvolution Exact sciences and technology Extrapolation Information, signal and communications theory Interferometry Noise level Power measurement Signal and communications theory Signal representation. Spectral analysis Signal resolution Signal, noise Speckle Telecommunications and information theory |
| title | Fourier spectrum extrapolation and enhancement using support constraints |
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