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A new approach to the modeling of the dynamics of RF VCO's and some of its practical implications

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2 Author(s)
Sarafian, G. ; TASHAN, Ben-Gurion Int. Airport, Israel ; Kaplan, B.-Z.

An approach to the modeling of practical radio frequency (RF) voltage controlled oscillators (VCOs) is presented. The usual VCO analysis employs a second-order model. The authors resort to a third-order representation that is more accurate mathematically. The representation is practically advantageous because practical RF VCOs are based on the Colpitts circuit, which is a third-order system. The model is investigated using an approximate linear approach, which is then improved through nonlinear analysis based on the harmonic balance method. The analyses reveal the existence of a relatively unknown mode of a shifting bias superimposed on the oscillation, which may cause interference at the system output. Furthermore, the analytical treatments bring forth a recommendation for a useful procedure of changing the oscillator parameters in attempting a frequency change. This leads to a major improvement of the circuit performance, when employed as a VCO. The analytical and simulation findings are supported favorably by experimenting with a practical circuit

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:40 ,  Issue: 12 )