Analysis And Design Of Quadrature Oscillators by Luis B. Oliveira, Jorge R. Fernandes, Igor M. Filanovsky,

By Luis B. Oliveira, Jorge R. Fernandes, Igor M. Filanovsky, Chris J. M. Verhoeven, Manuel M. Silva

The next good points of study and layout of Quadrature Oscillators make it various from the prevailing literature on digital oscillators: specialize in quadrature oscillators with exact quadrature and coffee phase-noise, required by means of glossy communique platforms; a close comparative learn of quadrature LC and RC oscillators, together with cross-coupled LC quasi-sinusoidal oscillators, cross-coupled RC leisure 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 belief that quadrature RC oscillators could be a sensible replacement to LC oscillators while sector and value could be minimized (in cross-coupled RC oscillators either the quadrature-error and phase-noise are decreased, while in LC oscillators the coupling raises the phase-noise); use of a dependent layout process, within which a expertise self sustaining research, with perfect blocks, is played at first, after which the circuit point layout is addressed; and inclusion of many experimental effects, got from diversified built-in circuit prototypes, within the GHz variety.

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1 vINT1 –1 1 –1 1 –1 1 1 2 vINT2 Fig. 4 Simulation Results We simulated the quadrature cross-coupled oscillator at a high level using ideal blocks with MATLAB, to confirm the amplitudes change predicted by the theoretical analysis. As shown in the block diagram of Fig. 14, we change the integration slope of the second oscillator by changing the Schmitt trigger outputs levels. When we increase the integration slopes in the second oscillator, the amplitude of the first oscillator decreases to follow the frequency of the second oscillator (Fig.

A circuit with MOS transistors has the same performance as described above. The circuit in Fig. 2 is one possible implementation. A more complex circuit with a more straightforward correspondence between the blocks and their circuit realization was presented in [52]; however, in this case the maximum available frequency is reduced, and the noise, area, and power consumption are higher. This oscillator integration constant is I/C, and the amplitude is 4IR. 1 High Level Model In this section we show how to employ two relaxation oscillators to provide quadrature outputs.

1 High Level Model . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Quadrature Relaxation Oscillator without Mismatches . . . . . . . . . . 3 Quadrature Relaxation Oscillator with Mismatches . . . . . . . . . . . . 4 Simulation Results . . . . . . . . . . . . . . . . . . . . . . . . . Phase-Noise . . . . . . . . . . . . . . . . . . . . . . . . . . .

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