Phase reconstruction from intensity measurements in one-parameter canonical-transform systems
In this paper, we consider the one-parameter canonical transform of an optical signal and derive the relationship between its local spatial frequency (signal phase derivative) and the derivative of the squared modulus of the one-parameter canonical transform with respect to the parameter. From this...
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creator | Bastiaans, M.J. Wolf, K.B. |
description | In this paper, we consider the one-parameter canonical transform of an optical signal and derive the relationship between its local spatial frequency (signal phase derivative) and the derivative of the squared modulus of the one-parameter canonical transform with respect to the parameter. From this relationship we conclude that the phase of the signal can be reconstructed by letting the signal propagate in an appropriate one-parameter canonical-transform system and then measure two intensity profiles for two close values of the parameter. |
doi_str_mv | 10.1109/ISSPA.2003.1224772 |
format | Conference Proceeding |
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From this relationship we conclude that the phase of the signal can be reconstructed by letting the signal propagate in an appropriate one-parameter canonical-transform system and then measure two intensity profiles for two close values of the parameter.</description><identifier>ISBN: 0780379462</identifier><identifier>ISBN: 9780780379466</identifier><identifier>DOI: 10.1109/ISSPA.2003.1224772</identifier><language>eng</language><publisher>IEEE</publisher><subject>Electromagnetic spectrum ; Equations ; Frequency estimation ; Iterative algorithms ; Optical propagation ; Optical signal processing ; Phase measurement ; Quantum mechanics ; RF signals ; Signal processing</subject><ispartof>Seventh International Symposium on Signal Processing and Its Applications, 2003. 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Proceedings</title><addtitle>ISSPA</addtitle><description>In this paper, we consider the one-parameter canonical transform of an optical signal and derive the relationship between its local spatial frequency (signal phase derivative) and the derivative of the squared modulus of the one-parameter canonical transform with respect to the parameter. From this relationship we conclude that the phase of the signal can be reconstructed by letting the signal propagate in an appropriate one-parameter canonical-transform system and then measure two intensity profiles for two close values of the parameter.</description><subject>Electromagnetic spectrum</subject><subject>Equations</subject><subject>Frequency estimation</subject><subject>Iterative algorithms</subject><subject>Optical propagation</subject><subject>Optical signal processing</subject><subject>Phase measurement</subject><subject>Quantum mechanics</subject><subject>RF signals</subject><subject>Signal processing</subject><isbn>0780379462</isbn><isbn>9780780379466</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2003</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotkMtqwzAURAWl0DbND7Qb_YBdPWxJXobQRyCQQLIt4Vq-oiqRHCRl4b-voZnNwFkMnCHkhbOac9a9bQ6H_aoWjMmaC9FoLe7IE9OGSd01SjyQZc6_bE7Tyk7pR_K9_4GMNKEdYy7paosfI3VpDNTHgjH7MtGAkK8JA8aSZ0zHiNUFEgQsmKiFOEZv4VyVBDG7MQWap1ww5Gdy7-CccXnrBTl-vB_XX9V297lZr7aV57otlYBWNsMsYDowUhkuezAOB2Ocg463YmCNVa3gTLPeIRgYeA9KKOv0YKVckNf_WY-Ip0vyAdJ0uh0g_wBh5FRk</recordid><startdate>2003</startdate><enddate>2003</enddate><creator>Bastiaans, M.J.</creator><creator>Wolf, K.B.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>2003</creationdate><title>Phase reconstruction from intensity measurements in one-parameter canonical-transform systems</title><author>Bastiaans, M.J. ; Wolf, K.B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-2a534d11089a836813ba8fed88ffa9152d04c6521070bfea8ad1ba626cf7dc33</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Electromagnetic spectrum</topic><topic>Equations</topic><topic>Frequency estimation</topic><topic>Iterative algorithms</topic><topic>Optical propagation</topic><topic>Optical signal processing</topic><topic>Phase measurement</topic><topic>Quantum mechanics</topic><topic>RF signals</topic><topic>Signal processing</topic><toplevel>online_resources</toplevel><creatorcontrib>Bastiaans, M.J.</creatorcontrib><creatorcontrib>Wolf, K.B.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Bastiaans, M.J.</au><au>Wolf, K.B.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Phase reconstruction from intensity measurements in one-parameter canonical-transform systems</atitle><btitle>Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings</btitle><stitle>ISSPA</stitle><date>2003</date><risdate>2003</risdate><volume>1</volume><spage>589</spage><epage>592 vol.1</epage><pages>589-592 vol.1</pages><isbn>0780379462</isbn><isbn>9780780379466</isbn><abstract>In this paper, we consider the one-parameter canonical transform of an optical signal and derive the relationship between its local spatial frequency (signal phase derivative) and the derivative of the squared modulus of the one-parameter canonical transform with respect to the parameter. From this relationship we conclude that the phase of the signal can be reconstructed by letting the signal propagate in an appropriate one-parameter canonical-transform system and then measure two intensity profiles for two close values of the parameter.</abstract><pub>IEEE</pub><doi>10.1109/ISSPA.2003.1224772</doi></addata></record> |
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subjects | Electromagnetic spectrum Equations Frequency estimation Iterative algorithms Optical propagation Optical signal processing Phase measurement Quantum mechanics RF signals Signal processing |
title | Phase reconstruction from intensity measurements in one-parameter canonical-transform systems |
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