Kittipong Tripetch, Nobuhiko Nakano, "A Design of Cross-Coupled Oscillator with Approximate 4th Order Polynomial Rooting Formula," WSEAS Transactions on Electronics, vol. 9, pp. 79-84, 2018, DOI:
Kittipong Tripetch, Nobuhiko Nakano. A Design of Cross-Coupled Oscillator with Approximate 4th Order Polynomial Rooting Formula.
WSEAS Transactions on Electronics. 2018;9:79-84.
WSEAS Transactions on Electronics
Print ISSN: 1109-9445, E-ISSN: 2415-1513
Volume 9, 2018
A Design of Cross-Coupled Oscillator with Approximate 4th Order Polynomial Rooting Formula
Authors: ,
Abstract: It is well known that input impedance of cross-coupled oscillator circuit has a fourth order denominator polynomial 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-coupled oscillator to oscillate, all of four pole frequencies should be positions on imaginary axis. The graph of time domain response is plotted by using inverse Laplace’s transform. Four unknowns and four brackets of poles can be factored which were derived by partial fraction expansion. Time domain response of cross-coupled oscillator is plotted by using 0.5 micron CMOS level1 transistor model.
Pages: 79-84 WSEAS Transactions on Electronics, ISSN / E-ISSN: 1109-9445 / 2415-1513, Volume 9, 2018, Art. #8 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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