General closed‐form equations for amplitude of parallel coupled quadrature oscillator
Summary In this paper, for the first time, a new method with closed‐form analytical equations is presented to calculate the oscillation amplitude of fourth‐order oscillators, such as quadrature oscillators. This method is actually based on the general form of the differential equations describing th...
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| Veröffentlicht in: | International journal of circuit theory and applications 2024-05, Vol.52 (5), p.2079-2096 |
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| container_end_page | 2096 |
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| container_issue | 5 |
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| container_title | International journal of circuit theory and applications |
| container_volume | 52 |
| creator | Kiani Vosta, Pezhman Miar‐Naimi, Hossein Javadi, Mohsen |
| description | Summary
In this paper, for the first time, a new method with closed‐form analytical equations is presented to calculate the oscillation amplitude of fourth‐order oscillators, such as quadrature oscillators. This method is actually based on the general form of the differential equations describing the structure of the fourth‐order oscillators and finding a solution for the nonlinear differential equations governing this type of oscillator. The introduced method is a general method that is valid for all fourth‐order oscillators and is also independent of the oscillation frequency. Using the proposed method, complex and time‐consuming simulation tools will no longer be needed to calculate the oscillation amplitude in a steady state. Moreover, the presented closed‐form equations help the designers to understand the design compromises and design the oscillator for their specific and desired conditions. In addition, to evaluate the correctness of the presented equations, a comprehensive analysis of the oscillation amplitude of the quadrature oscillator in the steady state is performed, and a closed‐form equation is presented for the oscillation amplitude of the oscillator in the steady state, which is proposed for the first time in this paper. A comparison between the simulation results and theoretical computations confirms the validity of the proposed method.
In this paper, for the first time, a new method was presented to calculate the oscillation amplitude of fourth‐order oscillators, such as quadrature oscillators. This method was based on solving nonlinear differential equations with a good approximation. In fact, a new easy‐to‐understand manual calculation technique was introduced to calculate the oscillation amplitude. |
| doi_str_mv | 10.1002/cta.3872 |
| format | Article |
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In this paper, for the first time, a new method with closed‐form analytical equations is presented to calculate the oscillation amplitude of fourth‐order oscillators, such as quadrature oscillators. This method is actually based on the general form of the differential equations describing the structure of the fourth‐order oscillators and finding a solution for the nonlinear differential equations governing this type of oscillator. The introduced method is a general method that is valid for all fourth‐order oscillators and is also independent of the oscillation frequency. Using the proposed method, complex and time‐consuming simulation tools will no longer be needed to calculate the oscillation amplitude in a steady state. Moreover, the presented closed‐form equations help the designers to understand the design compromises and design the oscillator for their specific and desired conditions. In addition, to evaluate the correctness of the presented equations, a comprehensive analysis of the oscillation amplitude of the quadrature oscillator in the steady state is performed, and a closed‐form equation is presented for the oscillation amplitude of the oscillator in the steady state, which is proposed for the first time in this paper. A comparison between the simulation results and theoretical computations confirms the validity of the proposed method.
In this paper, for the first time, a new method was presented to calculate the oscillation amplitude of fourth‐order oscillators, such as quadrature oscillators. This method was based on solving nonlinear differential equations with a good approximation. In fact, a new easy‐to‐understand manual calculation technique was introduced to calculate the oscillation amplitude.</description><identifier>ISSN: 0098-9886</identifier><identifier>EISSN: 1097-007X</identifier><identifier>DOI: 10.1002/cta.3872</identifier><language>eng</language><publisher>Bognor Regis: Wiley Subscription Services, Inc</publisher><subject>Amplitudes ; Design ; fourth‐order oscillators ; Mathematical analysis ; nonlinear analyses ; Nonlinear differential equations ; oscillation amplitude ; oscillation frequency ; Oscillators ; quadrature oscillators ; Quadratures ; Steady state</subject><ispartof>International journal of circuit theory and applications, 2024-05, Vol.52 (5), p.2079-2096</ispartof><rights>2023 John Wiley & Sons Ltd.</rights><rights>2024 John Wiley & Sons, Ltd.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c2542-204c608f5cd7e61c376e98a7818975a6e13c1ceafc6a179a2a0db9128e8d7cde3</cites><orcidid>0000-0003-3093-4958 ; 0000-0002-9180-1342</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fcta.3872$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fcta.3872$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>315,782,786,1419,27933,27934,45583,45584</link.rule.ids></links><search><creatorcontrib>Kiani Vosta, Pezhman</creatorcontrib><creatorcontrib>Miar‐Naimi, Hossein</creatorcontrib><creatorcontrib>Javadi, Mohsen</creatorcontrib><title>General closed‐form equations for amplitude of parallel coupled quadrature oscillator</title><title>International journal of circuit theory and applications</title><description>Summary
In this paper, for the first time, a new method with closed‐form analytical equations is presented to calculate the oscillation amplitude of fourth‐order oscillators, such as quadrature oscillators. This method is actually based on the general form of the differential equations describing the structure of the fourth‐order oscillators and finding a solution for the nonlinear differential equations governing this type of oscillator. The introduced method is a general method that is valid for all fourth‐order oscillators and is also independent of the oscillation frequency. Using the proposed method, complex and time‐consuming simulation tools will no longer be needed to calculate the oscillation amplitude in a steady state. Moreover, the presented closed‐form equations help the designers to understand the design compromises and design the oscillator for their specific and desired conditions. In addition, to evaluate the correctness of the presented equations, a comprehensive analysis of the oscillation amplitude of the quadrature oscillator in the steady state is performed, and a closed‐form equation is presented for the oscillation amplitude of the oscillator in the steady state, which is proposed for the first time in this paper. A comparison between the simulation results and theoretical computations confirms the validity of the proposed method.
In this paper, for the first time, a new method was presented to calculate the oscillation amplitude of fourth‐order oscillators, such as quadrature oscillators. This method was based on solving nonlinear differential equations with a good approximation. In fact, a new easy‐to‐understand manual calculation technique was introduced to calculate the oscillation amplitude.</description><subject>Amplitudes</subject><subject>Design</subject><subject>fourth‐order oscillators</subject><subject>Mathematical analysis</subject><subject>nonlinear analyses</subject><subject>Nonlinear differential equations</subject><subject>oscillation amplitude</subject><subject>oscillation frequency</subject><subject>Oscillators</subject><subject>quadrature oscillators</subject><subject>Quadratures</subject><subject>Steady state</subject><issn>0098-9886</issn><issn>1097-007X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp10MFKAzEQBuAgCtYq-AgBL162TrLdTXIsRatQ8FLRW4jJLGxJm22yi_TmI_iMPomp9eopDPlmhvkJuWYwYQD8zvZmUkrBT8iIgRIFgHg7JSMAJQslZX1OLlJaA4DkpRqR1wVuMRpPrQ8J3ffnVxPihuJuMH0btonmkppN59t-cEhDQzuTucfcEYbOo6OZumj6IebvZFvvTR_iJTlrjE949feOycvD_Wr-WCyfF0_z2bKwvJrygsPU1iCbyjqBNbOlqFFJIySTSlSmRlZaZtE0tjZMKMMNuHfFuETphHVYjsnNcW4Xw27A1Ot1GOI2r9QlTCuVz-Ysq9ujsjGkFLHRXWw3Ju41A32ITefY9CG2TIsj_Wg97v91er6a_foftkxwhQ</recordid><startdate>202405</startdate><enddate>202405</enddate><creator>Kiani Vosta, Pezhman</creator><creator>Miar‐Naimi, Hossein</creator><creator>Javadi, Mohsen</creator><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0003-3093-4958</orcidid><orcidid>https://orcid.org/0000-0002-9180-1342</orcidid></search><sort><creationdate>202405</creationdate><title>General closed‐form equations for amplitude of parallel coupled quadrature oscillator</title><author>Kiani Vosta, Pezhman ; Miar‐Naimi, Hossein ; Javadi, Mohsen</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2542-204c608f5cd7e61c376e98a7818975a6e13c1ceafc6a179a2a0db9128e8d7cde3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Amplitudes</topic><topic>Design</topic><topic>fourth‐order oscillators</topic><topic>Mathematical analysis</topic><topic>nonlinear analyses</topic><topic>Nonlinear differential equations</topic><topic>oscillation amplitude</topic><topic>oscillation frequency</topic><topic>Oscillators</topic><topic>quadrature oscillators</topic><topic>Quadratures</topic><topic>Steady state</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kiani Vosta, Pezhman</creatorcontrib><creatorcontrib>Miar‐Naimi, Hossein</creatorcontrib><creatorcontrib>Javadi, Mohsen</creatorcontrib><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>International journal of circuit theory and applications</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kiani Vosta, Pezhman</au><au>Miar‐Naimi, Hossein</au><au>Javadi, Mohsen</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>General closed‐form equations for amplitude of parallel coupled quadrature oscillator</atitle><jtitle>International journal of circuit theory and applications</jtitle><date>2024-05</date><risdate>2024</risdate><volume>52</volume><issue>5</issue><spage>2079</spage><epage>2096</epage><pages>2079-2096</pages><issn>0098-9886</issn><eissn>1097-007X</eissn><abstract>Summary
In this paper, for the first time, a new method with closed‐form analytical equations is presented to calculate the oscillation amplitude of fourth‐order oscillators, such as quadrature oscillators. This method is actually based on the general form of the differential equations describing the structure of the fourth‐order oscillators and finding a solution for the nonlinear differential equations governing this type of oscillator. The introduced method is a general method that is valid for all fourth‐order oscillators and is also independent of the oscillation frequency. Using the proposed method, complex and time‐consuming simulation tools will no longer be needed to calculate the oscillation amplitude in a steady state. Moreover, the presented closed‐form equations help the designers to understand the design compromises and design the oscillator for their specific and desired conditions. In addition, to evaluate the correctness of the presented equations, a comprehensive analysis of the oscillation amplitude of the quadrature oscillator in the steady state is performed, and a closed‐form equation is presented for the oscillation amplitude of the oscillator in the steady state, which is proposed for the first time in this paper. A comparison between the simulation results and theoretical computations confirms the validity of the proposed method.
In this paper, for the first time, a new method was presented to calculate the oscillation amplitude of fourth‐order oscillators, such as quadrature oscillators. This method was based on solving nonlinear differential equations with a good approximation. In fact, a new easy‐to‐understand manual calculation technique was introduced to calculate the oscillation amplitude.</abstract><cop>Bognor Regis</cop><pub>Wiley Subscription Services, Inc</pub><doi>10.1002/cta.3872</doi><tpages>18</tpages><orcidid>https://orcid.org/0000-0003-3093-4958</orcidid><orcidid>https://orcid.org/0000-0002-9180-1342</orcidid></addata></record> |
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| subjects | Amplitudes Design fourth‐order oscillators Mathematical analysis nonlinear analyses Nonlinear differential equations oscillation amplitude oscillation frequency Oscillators quadrature oscillators Quadratures Steady state |
| title | General closed‐form equations for amplitude of parallel coupled quadrature oscillator |
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