Nonlinear Error Compensation of PGC Demodulation With the Calculation of Carrier Phase Delay and Phase Modulation Depth
We propose a novel phase generated carrier (PGC) demodulation method by simultaneously calculating the carrier phase delay ( θ ) and the phase modulation depth ( m ) to compensate the nonlinear error introduced by θ and m . Firstly, θ is calculated by adopting the fundamental in-phase and quadrature...
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Veröffentlicht in: | Journal of lightwave technology 2021-04, Vol.39 (8), p.2327-2335 |
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creator | Yan, Liping Zhang, Yide Xie, Jiandong Lou, Yingtian Chen, Benyong Zhang, Shihua Zhou, Yanjiang |
description | We propose a novel phase generated carrier (PGC) demodulation method by simultaneously calculating the carrier phase delay ( θ ) and the phase modulation depth ( m ) to compensate the nonlinear error introduced by θ and m . Firstly, θ is calculated by adopting the fundamental in-phase and quadrature harmonic components and their differential components. Secondly, this calculated θ is used to set the phases of the harmonic components of reference carrier signal to obtain three new harmonic components independent of θ . Later, m is calculated and compensated by adopting the three new harmonic components and their differential components to obtain the demodulated result. Theoretical analysis and realization of the method are described in detail. Simulation and displacement measurement experiments with different θ and m are carried out to validate the proposed method. The experimental results demonstrate that the proposed method can accurately calculate and compensate θ and m , and effectively eliminate the nonlinear error of the demodulated signal. |
doi_str_mv | 10.1109/JLT.2021.3049481 |
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Firstly, θ is calculated by adopting the fundamental in-phase and quadrature harmonic components and their differential components. Secondly, this calculated θ is used to set the phases of the harmonic components of reference carrier signal to obtain three new harmonic components independent of θ . Later, m is calculated and compensated by adopting the three new harmonic components and their differential components to obtain the demodulated result. Theoretical analysis and realization of the method are described in detail. Simulation and displacement measurement experiments with different θ and m are carried out to validate the proposed method. The experimental results demonstrate that the proposed method can accurately calculate and compensate θ and m , and effectively eliminate the nonlinear error of the demodulated signal.</description><identifier>ISSN: 0733-8724</identifier><identifier>EISSN: 1558-2213</identifier><identifier>DOI: 10.1109/JLT.2021.3049481</identifier><identifier>CODEN: JLTEDG</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Carrier phase delay ; Delays ; Demodulation ; Displacement measurement ; Error compensation ; Filtering ; Harmonic analysis ; Interference ; Mathematical analysis ; nonlinear error compensation ; phase generated carrier (PGC) demodulation ; Phase modulation ; phase modulation depth ; Power harmonic filters ; Quadratures</subject><ispartof>Journal of lightwave technology, 2021-04, Vol.39 (8), p.2327-2335</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2021</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c291t-5b653894e9a736545a0b8757ec747d3d90a5cb3445691318dcf03d665305911a3</citedby><cites>FETCH-LOGICAL-c291t-5b653894e9a736545a0b8757ec747d3d90a5cb3445691318dcf03d665305911a3</cites><orcidid>0000-0002-8986-4993 ; 0000-0002-2168-9535 ; 0000-0002-2946-6328 ; 0000-0002-0375-740X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/9314698$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/9314698$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Yan, Liping</creatorcontrib><creatorcontrib>Zhang, Yide</creatorcontrib><creatorcontrib>Xie, Jiandong</creatorcontrib><creatorcontrib>Lou, Yingtian</creatorcontrib><creatorcontrib>Chen, Benyong</creatorcontrib><creatorcontrib>Zhang, Shihua</creatorcontrib><creatorcontrib>Zhou, Yanjiang</creatorcontrib><title>Nonlinear Error Compensation of PGC Demodulation With the Calculation of Carrier Phase Delay and Phase Modulation Depth</title><title>Journal of lightwave technology</title><addtitle>JLT</addtitle><description>We propose a novel phase generated carrier (PGC) demodulation method by simultaneously calculating the carrier phase delay ( θ ) and the phase modulation depth ( m ) to compensate the nonlinear error introduced by θ and m . Firstly, θ is calculated by adopting the fundamental in-phase and quadrature harmonic components and their differential components. Secondly, this calculated θ is used to set the phases of the harmonic components of reference carrier signal to obtain three new harmonic components independent of θ . Later, m is calculated and compensated by adopting the three new harmonic components and their differential components to obtain the demodulated result. Theoretical analysis and realization of the method are described in detail. Simulation and displacement measurement experiments with different θ and m are carried out to validate the proposed method. The experimental results demonstrate that the proposed method can accurately calculate and compensate θ and m , and effectively eliminate the nonlinear error of the demodulated signal.</description><subject>Carrier phase delay</subject><subject>Delays</subject><subject>Demodulation</subject><subject>Displacement measurement</subject><subject>Error compensation</subject><subject>Filtering</subject><subject>Harmonic analysis</subject><subject>Interference</subject><subject>Mathematical analysis</subject><subject>nonlinear error compensation</subject><subject>phase generated carrier (PGC) demodulation</subject><subject>Phase modulation</subject><subject>phase modulation depth</subject><subject>Power harmonic filters</subject><subject>Quadratures</subject><issn>0733-8724</issn><issn>1558-2213</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpFkM9LwzAUx4MoOKd3wUvAc2dekzTJUbofKlN3mHgMWZvSjq6pSYfsv7ejU0-P9_h8vw8-CN0CmQAQ9fCyXE9iEsOEEqaYhDM0As5lFMdAz9GICEojKWJ2ia5C2BICjEkxQt9vrqmrxhqPZ947j1O3a20TTFe5BrsCrxYpntqdy_f1cPusuhJ3pcWpqbPfYw-mxvvKerwqTbB9pDYHbJr8tL_-F0xt25XX6KIwdbA3pzlGH_PZOn2Klu-L5_RxGWWxgi7im4RTqZhVRtCEM27IRgoubCaYyGmuiOHZhjLGEwUUZJ4VhOZJHyJcARg6RvdDb-vd196GTm_d3jf9Sx1zwhOgXPKeIgOVeReCt4VufbUz_qCB6KNe3evVR736pLeP3A2Rylr7hysKLFGS_gCnJHUW</recordid><startdate>20210415</startdate><enddate>20210415</enddate><creator>Yan, Liping</creator><creator>Zhang, Yide</creator><creator>Xie, Jiandong</creator><creator>Lou, Yingtian</creator><creator>Chen, Benyong</creator><creator>Zhang, Shihua</creator><creator>Zhou, Yanjiang</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>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0002-8986-4993</orcidid><orcidid>https://orcid.org/0000-0002-2168-9535</orcidid><orcidid>https://orcid.org/0000-0002-2946-6328</orcidid><orcidid>https://orcid.org/0000-0002-0375-740X</orcidid></search><sort><creationdate>20210415</creationdate><title>Nonlinear Error Compensation of PGC Demodulation With the Calculation of Carrier Phase Delay and Phase Modulation Depth</title><author>Yan, Liping ; Zhang, Yide ; Xie, Jiandong ; Lou, Yingtian ; Chen, Benyong ; Zhang, Shihua ; Zhou, Yanjiang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c291t-5b653894e9a736545a0b8757ec747d3d90a5cb3445691318dcf03d665305911a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Carrier phase delay</topic><topic>Delays</topic><topic>Demodulation</topic><topic>Displacement measurement</topic><topic>Error compensation</topic><topic>Filtering</topic><topic>Harmonic analysis</topic><topic>Interference</topic><topic>Mathematical analysis</topic><topic>nonlinear error compensation</topic><topic>phase generated carrier (PGC) demodulation</topic><topic>Phase modulation</topic><topic>phase modulation depth</topic><topic>Power harmonic filters</topic><topic>Quadratures</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yan, Liping</creatorcontrib><creatorcontrib>Zhang, Yide</creatorcontrib><creatorcontrib>Xie, Jiandong</creatorcontrib><creatorcontrib>Lou, Yingtian</creatorcontrib><creatorcontrib>Chen, Benyong</creatorcontrib><creatorcontrib>Zhang, Shihua</creatorcontrib><creatorcontrib>Zhou, Yanjiang</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>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of lightwave technology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Yan, Liping</au><au>Zhang, Yide</au><au>Xie, Jiandong</au><au>Lou, Yingtian</au><au>Chen, Benyong</au><au>Zhang, Shihua</au><au>Zhou, Yanjiang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nonlinear Error Compensation of PGC Demodulation With the Calculation of Carrier Phase Delay and Phase Modulation Depth</atitle><jtitle>Journal of lightwave technology</jtitle><stitle>JLT</stitle><date>2021-04-15</date><risdate>2021</risdate><volume>39</volume><issue>8</issue><spage>2327</spage><epage>2335</epage><pages>2327-2335</pages><issn>0733-8724</issn><eissn>1558-2213</eissn><coden>JLTEDG</coden><abstract>We propose a novel phase generated carrier (PGC) demodulation method by simultaneously calculating the carrier phase delay ( θ ) and the phase modulation depth ( m ) to compensate the nonlinear error introduced by θ and m . Firstly, θ is calculated by adopting the fundamental in-phase and quadrature harmonic components and their differential components. Secondly, this calculated θ is used to set the phases of the harmonic components of reference carrier signal to obtain three new harmonic components independent of θ . Later, m is calculated and compensated by adopting the three new harmonic components and their differential components to obtain the demodulated result. Theoretical analysis and realization of the method are described in detail. Simulation and displacement measurement experiments with different θ and m are carried out to validate the proposed method. The experimental results demonstrate that the proposed method can accurately calculate and compensate θ and m , and effectively eliminate the nonlinear error of the demodulated signal.</abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/JLT.2021.3049481</doi><tpages>9</tpages><orcidid>https://orcid.org/0000-0002-8986-4993</orcidid><orcidid>https://orcid.org/0000-0002-2168-9535</orcidid><orcidid>https://orcid.org/0000-0002-2946-6328</orcidid><orcidid>https://orcid.org/0000-0002-0375-740X</orcidid></addata></record> |
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subjects | Carrier phase delay Delays Demodulation Displacement measurement Error compensation Filtering Harmonic analysis Interference Mathematical analysis nonlinear error compensation phase generated carrier (PGC) demodulation Phase modulation phase modulation depth Power harmonic filters Quadratures |
title | Nonlinear Error Compensation of PGC Demodulation With the Calculation of Carrier Phase Delay and Phase Modulation Depth |
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