A design of cross couple oscillator with exact 4th order polynomial rooting formula

Kittipong Tripetch, Nobuhiko Nakano

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

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 languageEnglish
Title of host publicationMathematical Methods and Computational Techniques in Science and Engineering II
EditorsNikos Bardis
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735416987
DOIs
Publication statusPublished - 2018 Jul 27
Event2nd International Conference on Mathematical Methods and Computational Techniques in Science and Engineering - Cambridge, United Kingdom
Duration: 2018 Feb 162018 Feb 18

Publication series

NameAIP Conference Proceedings
Volume1982
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other2nd International Conference on Mathematical Methods and Computational Techniques in Science and Engineering
CountryUnited Kingdom
CityCambridge
Period18/2/1618/2/18

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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