### Abstract

It is well known that input impedance of cross couple oscillator circuit has a fourth order denominator polynomial form in frequency domain. Thus, it is important to design pole frequency by symbolic formula so that it is oscillate as a sinusoidal signal. It should be noted that in order for cross couple to oscillate, all pole frequency should be position on imaginary axis only in pole zero diagram. The graph of time domain response is plotted by using inverse Laplace's transform of the four unknowns of the partial fraction solution which were derived.

Original language | English |
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Title of host publication | Mathematical Methods and Computational Techniques in Science and Engineering II |

Editors | Nikos Bardis |

Publisher | American Institute of Physics Inc. |

ISBN (Electronic) | 9780735416987 |

DOIs | |

Publication status | Published - 2018 Jul 27 |

Event | 2nd International Conference on Mathematical Methods and Computational Techniques in Science and Engineering - Cambridge, United Kingdom Duration: 2018 Feb 16 → 2018 Feb 18 |

### Publication series

Name | AIP Conference Proceedings |
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Volume | 1982 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Other

Other | 2nd International Conference on Mathematical Methods and Computational Techniques in Science and Engineering |
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Country | United Kingdom |

City | Cambridge |

Period | 18/2/16 → 18/2/18 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Tripetch, K., & Nakano, N. (2018). A design of cross couple oscillator with exact 4

^{th}order polynomial rooting formula. In N. Bardis (Ed.),*Mathematical Methods and Computational Techniques in Science and Engineering II*[020046] (AIP Conference Proceedings; Vol. 1982). American Institute of Physics Inc.. https://doi.org/10.1063/1.5045452