Highly accurate and real-time determination of resonant characteristics: complex linear regression of the transmission coefficient
For measuring high-frequency properties of materials by resonant techniques, one needs to obtain the resonant characteristics of the resonator, i.e., the resonant frequency f/sub R/ and the bandwidth of the resonance f/sub B/. For precise measurements, accurate and real-time determination of the res...
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| Veröffentlicht in: | IEEE transactions on microwave theory and techniques 2004-09, Vol.52 (9), p.2163-2168 |
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| container_issue | 9 |
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| container_title | IEEE transactions on microwave theory and techniques |
| container_volume | 52 |
| creator | Inoue, R. Miwa, K. Kitano, H. Maeda, A. Odate, Y. Tanabe, E. |
| description | For measuring high-frequency properties of materials by resonant techniques, one needs to obtain the resonant characteristics of the resonator, i.e., the resonant frequency f/sub R/ and the bandwidth of the resonance f/sub B/. For precise measurements, accurate and real-time determination of the resonant characteristics is required. We present a complex linear regression method, which contains only the linear square-fit algorithm, and is applicable to the complex transmission coefficient data S/sub 21/(f) with arbitrary phase error. Numerical simulations and experimental data show very high accuracy and stability of this technique, when compared with the standard 3-dB method and the Lorentzian-fit method. The optimum frequency span of the measurement is found to be approximately 1.5f/sub B/, where f/sub B/ is the bandwidth of the resonance. |
| doi_str_mv | 10.1109/TMTT.2004.834183 |
| format | Article |
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For precise measurements, accurate and real-time determination of the resonant characteristics is required. We present a complex linear regression method, which contains only the linear square-fit algorithm, and is applicable to the complex transmission coefficient data S/sub 21/(f) with arbitrary phase error. Numerical simulations and experimental data show very high accuracy and stability of this technique, when compared with the standard 3-dB method and the Lorentzian-fit method. 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For precise measurements, accurate and real-time determination of the resonant characteristics is required. We present a complex linear regression method, which contains only the linear square-fit algorithm, and is applicable to the complex transmission coefficient data S/sub 21/(f) with arbitrary phase error. Numerical simulations and experimental data show very high accuracy and stability of this technique, when compared with the standard 3-dB method and the Lorentzian-fit method. The optimum frequency span of the measurement is found to be approximately 1.5f/sub B/, where f/sub B/ is the bandwidth of the resonance.</description><subject>Applied sciences</subject><subject>Bandwidth</subject><subject>Circuit properties</subject><subject>Electric, optical and optoelectronic circuits</subject><subject>Electronics</subject><subject>Exact sciences and technology</subject><subject>Frequency measurement</subject><subject>Least squares methods</subject><subject>Linear regression</subject><subject>Magnetic field measurement</subject><subject>Microwave circuits, microwave integrated circuits, microwave transmission lines, submillimeter wave circuits</subject><subject>Microwave measurements</subject><subject>Microwave theory and techniques</subject><subject>Numerical simulation</subject><subject>Resonance</subject><subject>Resonant frequency</subject><issn>0018-9480</issn><issn>1557-9670</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkcFrHCEUxqW00O2290IvUmhus32OM472VkLTBFJy2ZzlraNZw4xu1YXm2r-8bmchEA-Kfr_v8XwfIR8ZbBgD9XX7a7vdtADdRvKOSf6KrFjfD40SA7wmKwAmG9VJeEve5fxYr10PckX-XvuH_fRE0ZhjwmIphpEmi1NT_GzpaItNsw9YfAw0uirlGDAUavaY0FTV5-JN_kZNnA-T_UMnHyymCj5UNp9tZW9pSRjy7Jc3E61z3ngbynvyxuGU7YfzuSb3Vz-2l9fN7d3Pm8vvt43hnSrNTg2OgxBydNyMArFuIxM7EGhb3nLeGoXK1oWqZwg4csGgF7seuJSd42tysdQ9pPj7aHPRtRljpwmDjcesW8nboa2jW5PPL8DHeEyh9qZrIVBC_IdggUyKOSfr9CH5GdOTZqBPiehTIvqUiF4SqZYv57qYDU6uzsP4_OwTbADJ-sp9WjhfP_Ms1-7kIPg_t0GXeg</recordid><startdate>20040901</startdate><enddate>20040901</enddate><creator>Inoue, R.</creator><creator>Miwa, K.</creator><creator>Kitano, H.</creator><creator>Maeda, A.</creator><creator>Odate, Y.</creator><creator>Tanabe, E.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>RIA</scope><scope>RIE</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20040901</creationdate><title>Highly accurate and real-time determination of resonant characteristics: complex linear regression of the transmission coefficient</title><author>Inoue, R. ; Miwa, K. ; Kitano, H. ; Maeda, A. ; Odate, Y. ; Tanabe, E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c349t-b97f30668df3cd6aacd6d16b06ae232332c9a9eeeea951a0ad361056b503884f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Applied sciences</topic><topic>Bandwidth</topic><topic>Circuit properties</topic><topic>Electric, optical and optoelectronic circuits</topic><topic>Electronics</topic><topic>Exact sciences and technology</topic><topic>Frequency measurement</topic><topic>Least squares methods</topic><topic>Linear regression</topic><topic>Magnetic field measurement</topic><topic>Microwave circuits, microwave integrated circuits, microwave transmission lines, submillimeter wave circuits</topic><topic>Microwave measurements</topic><topic>Microwave theory and techniques</topic><topic>Numerical simulation</topic><topic>Resonance</topic><topic>Resonant frequency</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Inoue, R.</creatorcontrib><creatorcontrib>Miwa, K.</creatorcontrib><creatorcontrib>Kitano, H.</creatorcontrib><creatorcontrib>Maeda, A.</creatorcontrib><creatorcontrib>Odate, Y.</creatorcontrib><creatorcontrib>Tanabe, E.</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>IEEE transactions on microwave theory and techniques</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Inoue, R.</au><au>Miwa, K.</au><au>Kitano, H.</au><au>Maeda, A.</au><au>Odate, Y.</au><au>Tanabe, E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Highly accurate and real-time determination of resonant characteristics: complex linear regression of the transmission coefficient</atitle><jtitle>IEEE transactions on microwave theory and techniques</jtitle><stitle>TMTT</stitle><date>2004-09-01</date><risdate>2004</risdate><volume>52</volume><issue>9</issue><spage>2163</spage><epage>2168</epage><pages>2163-2168</pages><issn>0018-9480</issn><eissn>1557-9670</eissn><coden>IETMAB</coden><abstract>For measuring high-frequency properties of materials by resonant techniques, one needs to obtain the resonant characteristics of the resonator, i.e., the resonant frequency f/sub R/ and the bandwidth of the resonance f/sub B/. For precise measurements, accurate and real-time determination of the resonant characteristics is required. We present a complex linear regression method, which contains only the linear square-fit algorithm, and is applicable to the complex transmission coefficient data S/sub 21/(f) with arbitrary phase error. Numerical simulations and experimental data show very high accuracy and stability of this technique, when compared with the standard 3-dB method and the Lorentzian-fit method. The optimum frequency span of the measurement is found to be approximately 1.5f/sub B/, where f/sub B/ is the bandwidth of the resonance.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TMTT.2004.834183</doi><tpages>6</tpages></addata></record> |
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| ispartof | IEEE transactions on microwave theory and techniques, 2004-09, Vol.52 (9), p.2163-2168 |
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| source | IEEE Electronic Library (IEL) |
| subjects | Applied sciences Bandwidth Circuit properties Electric, optical and optoelectronic circuits Electronics Exact sciences and technology Frequency measurement Least squares methods Linear regression Magnetic field measurement Microwave circuits, microwave integrated circuits, microwave transmission lines, submillimeter wave circuits Microwave measurements Microwave theory and techniques Numerical simulation Resonance Resonant frequency |
| title | Highly accurate and real-time determination of resonant characteristics: complex linear regression of the transmission coefficient |
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