Determining the Zeros and Poles of Linear Circuit Networks Using Function Approximation
A numerical method for determining the significant singularities corresponding to the network function of a linear circuit is presented. This method is based upon function approximation of both the magnitude and phase of frequency response data. A linear network function of the form of a ratio of tw...
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| Veröffentlicht in: | IEEE transactions on computer-aided design of integrated circuits and systems 1987-07, Vol.6 (4), p.678-690 |
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| container_title | IEEE transactions on computer-aided design of integrated circuits and systems |
| container_volume | 6 |
| creator | Bowman, R.J. Brewster, C.C. |
| description | A numerical method for determining the significant singularities corresponding to the network function of a linear circuit is presented. This method is based upon function approximation of both the magnitude and phase of frequency response data. A linear network function of the form of a ratio of two polynomials in the Laplacian variable s is assumed. The frequency response data are approximated using the nonlinear least-squares algorithm of Levenberg and Marquardt. The polynomials are then factored into roots and those singularities having a negligible effect are removed. ZAP, a computer program implementing this method, has proven to be a valuable design aid for performing pole-zero analysis in the design of linear integrated circuits. |
| doi_str_mv | 10.1109/TCAD.1987.1270313 |
| format | Article |
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This method is based upon function approximation of both the magnitude and phase of frequency response data. A linear network function of the form of a ratio of two polynomials in the Laplacian variable s is assumed. The frequency response data are approximated using the nonlinear least-squares algorithm of Levenberg and Marquardt. The polynomials are then factored into roots and those singularities having a negligible effect are removed. 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This method is based upon function approximation of both the magnitude and phase of frequency response data. A linear network function of the form of a ratio of two polynomials in the Laplacian variable s is assumed. The frequency response data are approximated using the nonlinear least-squares algorithm of Levenberg and Marquardt. The polynomials are then factored into roots and those singularities having a negligible effect are removed. ZAP, a computer program implementing this method, has proven to be a valuable design aid for performing pole-zero analysis in the design of linear integrated circuits.</description><subject>Analog integrated circuits</subject><subject>Applied sciences</subject><subject>Circuit analysis computing</subject><subject>Electric, optical and optoelectronic circuits</subject><subject>Electronics</subject><subject>Exact sciences and technology</subject><subject>Frequency response</subject><subject>Function approximation</subject><subject>Laplace equations</subject><subject>Linear circuits</subject><subject>Other techniques and industries</subject><subject>Performance analysis</subject><subject>Poles and zeros</subject><subject>Polynomials</subject><subject>Theoretical study. 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Circuits analysis and design</topic><topic>Transfer functions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bowman, R.J.</creatorcontrib><creatorcontrib>Brewster, C.C.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>IEEE transactions on computer-aided design of integrated circuits and systems</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Bowman, R.J.</au><au>Brewster, C.C.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Determining the Zeros and Poles of Linear Circuit Networks Using Function Approximation</atitle><jtitle>IEEE transactions on computer-aided design of integrated circuits and systems</jtitle><stitle>TCAD</stitle><date>1987-07-01</date><risdate>1987</risdate><volume>6</volume><issue>4</issue><spage>678</spage><epage>690</epage><pages>678-690</pages><issn>0278-0070</issn><eissn>1937-4151</eissn><coden>ITCSDI</coden><abstract>A numerical method for determining the significant singularities corresponding to the network function of a linear circuit is presented. This method is based upon function approximation of both the magnitude and phase of frequency response data. A linear network function of the form of a ratio of two polynomials in the Laplacian variable s is assumed. The frequency response data are approximated using the nonlinear least-squares algorithm of Levenberg and Marquardt. The polynomials are then factored into roots and those singularities having a negligible effect are removed. ZAP, a computer program implementing this method, has proven to be a valuable design aid for performing pole-zero analysis in the design of linear integrated circuits.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TCAD.1987.1270313</doi><tpages>13</tpages></addata></record> |
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| identifier | ISSN: 0278-0070 |
| ispartof | IEEE transactions on computer-aided design of integrated circuits and systems, 1987-07, Vol.6 (4), p.678-690 |
| issn | 0278-0070 1937-4151 |
| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Analog integrated circuits Applied sciences Circuit analysis computing Electric, optical and optoelectronic circuits Electronics Exact sciences and technology Frequency response Function approximation Laplace equations Linear circuits Other techniques and industries Performance analysis Poles and zeros Polynomials Theoretical study. Circuits analysis and design Transfer functions |
| title | Determining the Zeros and Poles of Linear Circuit Networks Using Function Approximation |
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