Statistical study of generalized nonlinear phase step estimation methods in phase-shifting interferometry
Signal processing methods based on maximum-likelihood theory, discrete chirp Fourier transform, and spectral estimation methods have enabled accurate measurement of phase in phase-shifting interferometry in the presence of nonlinear response of the piezoelectric transducer to the applied voltage. We...
Gespeichert in:
| Veröffentlicht in: | Applied Optics 2007-11, Vol.46 (33), p.8007-8014 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 8014 |
|---|---|
| container_issue | 33 |
| container_start_page | 8007 |
| container_title | Applied Optics |
| container_volume | 46 |
| creator | Langoju, Rajesh Patil, Abhijit Rastogi, Pramod |
| description | Signal processing methods based on maximum-likelihood theory, discrete chirp Fourier transform, and spectral estimation methods have enabled accurate measurement of phase in phase-shifting interferometry in the presence of nonlinear response of the piezoelectric transducer to the applied voltage. We present the statistical study of these generalized nonlinear phase step estimation methods to identify the best method by deriving the Cramér-Rao bound. We also address important aspects of these methods for implementation in practical applications and compare the performance of the best-identified method with other bench marking algorithms in the presence of harmonics and noise. |
| doi_str_mv | 10.1364/AO.46.008007 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_osti_</sourceid><recordid>TN_cdi_proquest_miscellaneous_68524593</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>68524593</sourcerecordid><originalsourceid>FETCH-LOGICAL-c317t-e1bcaf9872ecec6455d7a5361e0d93febdbaf8fa3b011f2c2e3ef1414009fa923</originalsourceid><addsrcrecordid>eNpF0UlLAzEUAOAgivvNswwInpyadZZjKW5Q6EEFbyGTeWkj06Qm6aH-elOm4CmP8L3HWxC6IXhCWMUfp4sJryYYNxjXR-icCNaWXFB6vI9FWxLafJ2hixi_MWaCt_UpOiMNppVgzTmy70klG5PVaihi2va7wptiCQ6CGuwv9IXzbrAOVCg2KxUhI9gUkDPWOdG7Yg1p5ftYWDeCMq6sSdYt80-CYCD4TMLuCp0YNUS4PryX6PP56WP2Ws4XL2-z6bzUjNSpBNJpZdqmpqBBV1yIvlaCVQRw3zIDXd8p0xjFOkyIoZoCA0M44Ri3RrWUXaK7sa7PPcqobQK90t450ElSggmr6zqr-1Ftgv_Z5nHk2kYNw6Ac-G2UVSMoFy3L8GGEOvgYAxi5CXn0sJMEy_0B5HQheSXHA2R-e6i77dbQ_-PDxtkf1CyDZw</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>68524593</pqid></control><display><type>article</type><title>Statistical study of generalized nonlinear phase step estimation methods in phase-shifting interferometry</title><source>Alma/SFX Local Collection</source><source>Optica Publishing Group Journals</source><creator>Langoju, Rajesh ; Patil, Abhijit ; Rastogi, Pramod</creator><creatorcontrib>Langoju, Rajesh ; Patil, Abhijit ; Rastogi, Pramod</creatorcontrib><description>Signal processing methods based on maximum-likelihood theory, discrete chirp Fourier transform, and spectral estimation methods have enabled accurate measurement of phase in phase-shifting interferometry in the presence of nonlinear response of the piezoelectric transducer to the applied voltage. We present the statistical study of these generalized nonlinear phase step estimation methods to identify the best method by deriving the Cramér-Rao bound. We also address important aspects of these methods for implementation in practical applications and compare the performance of the best-identified method with other bench marking algorithms in the presence of harmonics and noise.</description><identifier>ISSN: 1559-128X</identifier><identifier>ISSN: 0003-6935</identifier><identifier>EISSN: 1539-4522</identifier><identifier>DOI: 10.1364/AO.46.008007</identifier><identifier>PMID: 18026538</identifier><language>eng</language><publisher>United States</publisher><subject>ALGORITHMS ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; ELECTRIC POTENTIAL ; FOURIER TRANSFORMATION ; HARMONICS ; HOLOGRAPHY ; IMAGE PROCESSING ; INTERFEROMETRY ; MAXIMUM-LIKELIHOOD FIT ; NONLINEAR OPTICS ; PIEZOELECTRICITY ; SIGNALS</subject><ispartof>Applied Optics, 2007-11, Vol.46 (33), p.8007-8014</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c317t-e1bcaf9872ecec6455d7a5361e0d93febdbaf8fa3b011f2c2e3ef1414009fa923</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,778,782,883,27911,27912</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/18026538$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/21013777$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Langoju, Rajesh</creatorcontrib><creatorcontrib>Patil, Abhijit</creatorcontrib><creatorcontrib>Rastogi, Pramod</creatorcontrib><title>Statistical study of generalized nonlinear phase step estimation methods in phase-shifting interferometry</title><title>Applied Optics</title><addtitle>Appl Opt</addtitle><description>Signal processing methods based on maximum-likelihood theory, discrete chirp Fourier transform, and spectral estimation methods have enabled accurate measurement of phase in phase-shifting interferometry in the presence of nonlinear response of the piezoelectric transducer to the applied voltage. We present the statistical study of these generalized nonlinear phase step estimation methods to identify the best method by deriving the Cramér-Rao bound. We also address important aspects of these methods for implementation in practical applications and compare the performance of the best-identified method with other bench marking algorithms in the presence of harmonics and noise.</description><subject>ALGORITHMS</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>ELECTRIC POTENTIAL</subject><subject>FOURIER TRANSFORMATION</subject><subject>HARMONICS</subject><subject>HOLOGRAPHY</subject><subject>IMAGE PROCESSING</subject><subject>INTERFEROMETRY</subject><subject>MAXIMUM-LIKELIHOOD FIT</subject><subject>NONLINEAR OPTICS</subject><subject>PIEZOELECTRICITY</subject><subject>SIGNALS</subject><issn>1559-128X</issn><issn>0003-6935</issn><issn>1539-4522</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNpF0UlLAzEUAOAgivvNswwInpyadZZjKW5Q6EEFbyGTeWkj06Qm6aH-elOm4CmP8L3HWxC6IXhCWMUfp4sJryYYNxjXR-icCNaWXFB6vI9FWxLafJ2hixi_MWaCt_UpOiMNppVgzTmy70klG5PVaihi2va7wptiCQ6CGuwv9IXzbrAOVCg2KxUhI9gUkDPWOdG7Yg1p5ftYWDeCMq6sSdYt80-CYCD4TMLuCp0YNUS4PryX6PP56WP2Ws4XL2-z6bzUjNSpBNJpZdqmpqBBV1yIvlaCVQRw3zIDXd8p0xjFOkyIoZoCA0M44Ri3RrWUXaK7sa7PPcqobQK90t450ElSggmr6zqr-1Ftgv_Z5nHk2kYNw6Ac-G2UVSMoFy3L8GGEOvgYAxi5CXn0sJMEy_0B5HQheSXHA2R-e6i77dbQ_-PDxtkf1CyDZw</recordid><startdate>20071120</startdate><enddate>20071120</enddate><creator>Langoju, Rajesh</creator><creator>Patil, Abhijit</creator><creator>Rastogi, Pramod</creator><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>OTOTI</scope></search><sort><creationdate>20071120</creationdate><title>Statistical study of generalized nonlinear phase step estimation methods in phase-shifting interferometry</title><author>Langoju, Rajesh ; Patil, Abhijit ; Rastogi, Pramod</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c317t-e1bcaf9872ecec6455d7a5361e0d93febdbaf8fa3b011f2c2e3ef1414009fa923</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>ALGORITHMS</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>ELECTRIC POTENTIAL</topic><topic>FOURIER TRANSFORMATION</topic><topic>HARMONICS</topic><topic>HOLOGRAPHY</topic><topic>IMAGE PROCESSING</topic><topic>INTERFEROMETRY</topic><topic>MAXIMUM-LIKELIHOOD FIT</topic><topic>NONLINEAR OPTICS</topic><topic>PIEZOELECTRICITY</topic><topic>SIGNALS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Langoju, Rajesh</creatorcontrib><creatorcontrib>Patil, Abhijit</creatorcontrib><creatorcontrib>Rastogi, Pramod</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>OSTI.GOV</collection><jtitle>Applied Optics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Langoju, Rajesh</au><au>Patil, Abhijit</au><au>Rastogi, Pramod</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Statistical study of generalized nonlinear phase step estimation methods in phase-shifting interferometry</atitle><jtitle>Applied Optics</jtitle><addtitle>Appl Opt</addtitle><date>2007-11-20</date><risdate>2007</risdate><volume>46</volume><issue>33</issue><spage>8007</spage><epage>8014</epage><pages>8007-8014</pages><issn>1559-128X</issn><issn>0003-6935</issn><eissn>1539-4522</eissn><abstract>Signal processing methods based on maximum-likelihood theory, discrete chirp Fourier transform, and spectral estimation methods have enabled accurate measurement of phase in phase-shifting interferometry in the presence of nonlinear response of the piezoelectric transducer to the applied voltage. We present the statistical study of these generalized nonlinear phase step estimation methods to identify the best method by deriving the Cramér-Rao bound. We also address important aspects of these methods for implementation in practical applications and compare the performance of the best-identified method with other bench marking algorithms in the presence of harmonics and noise.</abstract><cop>United States</cop><pmid>18026538</pmid><doi>10.1364/AO.46.008007</doi><tpages>8</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1559-128X |
| ispartof | Applied Optics, 2007-11, Vol.46 (33), p.8007-8014 |
| issn | 1559-128X 0003-6935 1539-4522 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_68524593 |
| source | Alma/SFX Local Collection; Optica Publishing Group Journals |
| subjects | ALGORITHMS CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ELECTRIC POTENTIAL FOURIER TRANSFORMATION HARMONICS HOLOGRAPHY IMAGE PROCESSING INTERFEROMETRY MAXIMUM-LIKELIHOOD FIT NONLINEAR OPTICS PIEZOELECTRICITY SIGNALS |
| title | Statistical study of generalized nonlinear phase step estimation methods in phase-shifting interferometry |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-15T19%3A30%3A41IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_osti_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Statistical%20study%20of%20generalized%20nonlinear%20phase%20step%20estimation%20methods%20in%20phase-shifting%20interferometry&rft.jtitle=Applied%20Optics&rft.au=Langoju,%20Rajesh&rft.date=2007-11-20&rft.volume=46&rft.issue=33&rft.spage=8007&rft.epage=8014&rft.pages=8007-8014&rft.issn=1559-128X&rft.eissn=1539-4522&rft_id=info:doi/10.1364/AO.46.008007&rft_dat=%3Cproquest_osti_%3E68524593%3C/proquest_osti_%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=68524593&rft_id=info:pmid/18026538&rfr_iscdi=true |