Stepped-waveform synthesis for reducing third harmonic content
Third harmonic measurements are used to assess the nonlinearity level of resistors, as recommended by the IEC/TR 60440 standard. Availability of a signal generator with extremely small (zero in limiting case) content of the third harmonic plays a key role in getting successful linearity measurements...
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| Veröffentlicht in: | IEEE transactions on instrumentation and measurement 2005-06, Vol.54 (3), p.1296-1302 |
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| container_title | IEEE transactions on instrumentation and measurement |
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| creator | Santos, E.J.P. Barybin, A.A. |
| description | Third harmonic measurements are used to assess the nonlinearity level of resistors, as recommended by the IEC/TR 60440 standard. Availability of a signal generator with extremely small (zero in limiting case) content of the third harmonic plays a key role in getting successful linearity measurements. Traditionally, this is achieved with high-purity sinusoidal analog generators. This paper sets forth Fourier analysis for three types of periodic stepped waveforms to choose that which provides minimum content of the third harmonic for the real waveforms with finite values of the slew rate. Such waveforms can be implemented digitally. Numerical calculations demonstrate that there is a six-step waveform with theoretically zero third-harmonic content. |
| doi_str_mv | 10.1109/TIM.2005.847221 |
| format | Article |
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Availability of a signal generator with extremely small (zero in limiting case) content of the third harmonic plays a key role in getting successful linearity measurements. Traditionally, this is achieved with high-purity sinusoidal analog generators. This paper sets forth Fourier analysis for three types of periodic stepped waveforms to choose that which provides minimum content of the third harmonic for the real waveforms with finite values of the slew rate. Such waveforms can be implemented digitally. Numerical calculations demonstrate that there is a six-step waveform with theoretically zero third-harmonic content.</description><identifier>ISSN: 0018-9456</identifier><identifier>EISSN: 1557-9662</identifier><identifier>DOI: 10.1109/TIM.2005.847221</identifier><identifier>CODEN: IEIMAO</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Availability ; Clocks ; Constraining ; Fourier analysis ; Harmonic analysis ; Harmonics ; IEC standards ; Instrumentation ; Inverters ; Linearity ; Mathematical analysis ; Measurement standards ; Power harmonic filters ; Resistors ; Signal generators ; Signal synthesis ; Third harmonic ; waveform generation ; waveform synthesis ; Waveforms</subject><ispartof>IEEE transactions on instrumentation and measurement, 2005-06, Vol.54 (3), p.1296-1302</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2005</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c352t-c7d50b9ac54d988d5936c57851b96d8a5a805900e3231df4dc18203e9cdbe2753</citedby><cites>FETCH-LOGICAL-c352t-c7d50b9ac54d988d5936c57851b96d8a5a805900e3231df4dc18203e9cdbe2753</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/1433208$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/1433208$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Santos, E.J.P.</creatorcontrib><creatorcontrib>Barybin, A.A.</creatorcontrib><title>Stepped-waveform synthesis for reducing third harmonic content</title><title>IEEE transactions on instrumentation and measurement</title><addtitle>TIM</addtitle><description>Third harmonic measurements are used to assess the nonlinearity level of resistors, as recommended by the IEC/TR 60440 standard. Availability of a signal generator with extremely small (zero in limiting case) content of the third harmonic plays a key role in getting successful linearity measurements. Traditionally, this is achieved with high-purity sinusoidal analog generators. This paper sets forth Fourier analysis for three types of periodic stepped waveforms to choose that which provides minimum content of the third harmonic for the real waveforms with finite values of the slew rate. Such waveforms can be implemented digitally. Numerical calculations demonstrate that there is a six-step waveform with theoretically zero third-harmonic content.</description><subject>Availability</subject><subject>Clocks</subject><subject>Constraining</subject><subject>Fourier analysis</subject><subject>Harmonic analysis</subject><subject>Harmonics</subject><subject>IEC standards</subject><subject>Instrumentation</subject><subject>Inverters</subject><subject>Linearity</subject><subject>Mathematical analysis</subject><subject>Measurement standards</subject><subject>Power harmonic filters</subject><subject>Resistors</subject><subject>Signal generators</subject><subject>Signal synthesis</subject><subject>Third harmonic</subject><subject>waveform generation</subject><subject>waveform synthesis</subject><subject>Waveforms</subject><issn>0018-9456</issn><issn>1557-9662</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNp9kM9LAzEQhYMoWKtnD14WD-Jl20mySSYXQYq_oOLBeg7bZGq3tLs12Sr9791SQfDgaXjwvQfzMXbOYcA52OHk6XkgANQACyMEP2A9rpTJrdbikPUAOOa2UPqYnaS0AACjC9NjN68trdcU8q_yk2ZNXGVpW7dzSlXKuphFChtf1e9ZO69iyOZlXDV15TPf1C3V7Sk7mpXLRGc_t8_e7u8mo8d8_PLwNLod514q0ebeBAVTW3pVBIsYlJXaK4OKT60OWKoSQVkAkkLyMCuC5yhAkvVhSsIo2WdX-911bD42lFq3qpKn5bKsqdkkJxAQJdgOvP4X5NpwgRYVdujlH3TRbGLdveFQG6m1xN3ecA_52KQUaebWsVqVces4uJ1313l3O-9u771rXOwbFRH90oWUAlB-Ax2CfT0</recordid><startdate>20050601</startdate><enddate>20050601</enddate><creator>Santos, E.J.P.</creator><creator>Barybin, A.A.</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>L7M</scope><scope>F28</scope><scope>FR3</scope><scope>7SC</scope><scope>JQ2</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20050601</creationdate><title>Stepped-waveform synthesis for reducing third harmonic content</title><author>Santos, E.J.P. ; Barybin, A.A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c352t-c7d50b9ac54d988d5936c57851b96d8a5a805900e3231df4dc18203e9cdbe2753</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Availability</topic><topic>Clocks</topic><topic>Constraining</topic><topic>Fourier analysis</topic><topic>Harmonic analysis</topic><topic>Harmonics</topic><topic>IEC standards</topic><topic>Instrumentation</topic><topic>Inverters</topic><topic>Linearity</topic><topic>Mathematical analysis</topic><topic>Measurement standards</topic><topic>Power harmonic filters</topic><topic>Resistors</topic><topic>Signal generators</topic><topic>Signal synthesis</topic><topic>Third harmonic</topic><topic>waveform generation</topic><topic>waveform synthesis</topic><topic>Waveforms</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Santos, E.J.P.</creatorcontrib><creatorcontrib>Barybin, A.A.</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005–Present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998–Present</collection><collection>IEEE Xplore</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><collection>Computer and Information Systems Abstracts</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>IEEE transactions on instrumentation and measurement</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Santos, E.J.P.</au><au>Barybin, A.A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Stepped-waveform synthesis for reducing third harmonic content</atitle><jtitle>IEEE transactions on instrumentation and measurement</jtitle><stitle>TIM</stitle><date>2005-06-01</date><risdate>2005</risdate><volume>54</volume><issue>3</issue><spage>1296</spage><epage>1302</epage><pages>1296-1302</pages><issn>0018-9456</issn><eissn>1557-9662</eissn><coden>IEIMAO</coden><abstract>Third harmonic measurements are used to assess the nonlinearity level of resistors, as recommended by the IEC/TR 60440 standard. Availability of a signal generator with extremely small (zero in limiting case) content of the third harmonic plays a key role in getting successful linearity measurements. Traditionally, this is achieved with high-purity sinusoidal analog generators. This paper sets forth Fourier analysis for three types of periodic stepped waveforms to choose that which provides minimum content of the third harmonic for the real waveforms with finite values of the slew rate. Such waveforms can be implemented digitally. Numerical calculations demonstrate that there is a six-step waveform with theoretically zero third-harmonic content.</abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/TIM.2005.847221</doi><tpages>7</tpages></addata></record> |
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| source | IEEE Xplore |
| subjects | Availability Clocks Constraining Fourier analysis Harmonic analysis Harmonics IEC standards Instrumentation Inverters Linearity Mathematical analysis Measurement standards Power harmonic filters Resistors Signal generators Signal synthesis Third harmonic waveform generation waveform synthesis Waveforms |
| title | Stepped-waveform synthesis for reducing third harmonic content |
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