By Luis B. Oliveira, Jorge R. Fernandes, Igor M. Filanovsky, Chris J. M. Verhoeven, Manuel M. Silva
The subsequent good points of study and layout of Quadrature Oscillators make it varied from the present literature on digital oscillators: concentrate on quadrature oscillators with exact quadrature and occasional phase-noise, required by way of smooth verbal exchange structures; a close comparative examine of quadrature LC and RC oscillators, together with cross-coupled LC quasi-sinusoidal oscillators, cross-coupled RC rest oscillators, a quadrature RC oscillator-mixer, and two-integrator oscillators; an intensive research of the impact of mismatches at the phase-error and the phase-noise; the realization that quadrature RC oscillators could be a sensible substitute to LC oscillators whilst quarter and price will be minimized (in cross-coupled RC oscillators either the quadrature-error and phase-noise are diminished, while in LC oscillators the coupling raises the phase-noise); use of a based layout method, within which a expertise self reliant research, with excellent blocks, is played in the beginning, after which the circuit point layout is addressed; and inclusion of many experimental effects, received from various built-in circuit prototypes, within the GHz variety.
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Additional info for Analysis And Design Of Quadrature Oscillators
Quadrature Relaxation Oscillator . . . . . . . . . . . . . . . . . . . . . . . 1 High Level Model . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Quadrature Relaxation Oscillator without Mismatches . . . . . . . . . . 3 Quadrature Relaxation Oscillator with Mismatches . . . . . . . . . . . . 4 Simulation Results . . . . . . . . . . . . . . . . . . . . .
In this RF circuit implementation many parasitics are present; the output is approximately a sinewave and not a triangular waveform, due to the filtering action performed by the parasitics. The simulation results show the amplitude changes (Fig. 16) and the DC offset (Fig. 17), as expected from the theoretical analysis. The theoretical amplitudes are 2I R = 600 mV and the simulated amplitudes are about 400 mV. 1 << 1), the amplitudes should also change 10%. The simulated vINT2 vINT1 ΔV ΔV Fig.
1 Introduction This chapter is dedicated to the study of quadrature relaxation oscillators, which consist of two cross-coupled RC relaxation oscillators . In this book we will use interchangeably the designations cross-coupled relaxation oscillator and quadrature relaxation oscillator. Both single relaxation oscillators and the technique of synchronously coupling relaxation oscillators have been known for some time [8–10, 44, 47–51], but their research is still at an initial stage.
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