AUTHORS: Kittipong Tripetch, Nobuhiko Nakano
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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.
KEYWORDS: CMOS, Cross-Coupled Oscillator, Input impedance
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