Microelectronics

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 gains of research and layout of Quadrature Oscillators make it assorted from the prevailing literature on digital oscillators: specialise in quadrature oscillators with exact quadrature and occasional phase-noise, required by way of smooth conversation structures; an in depth comparative examine 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; a radical research of the impression of mismatches at the phase-error and the phase-noise; the realization that quadrature RC oscillators could be a functional replacement to LC oscillators whilst region and price could 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 process, during which a know-how self sufficient research, with excellent blocks, is played firstly, 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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1 Phase-noise in a Single Relaxation Oscillator . . . . . . . . . . . . . . 2 Phase-noise in Quadrature Relaxation Oscillators . . . . . . . . . . . . . Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Introduction This chapter is dedicated to the study of quadrature relaxation oscillators, which consist of two cross-coupled RC relaxation oscillators [9]. In this book we will use interchangeably the designations cross-coupled relaxation oscillator and quadrature relaxation oscillator.

Relaxation Oscillator . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 High Level Model . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Circuit Implementation . . . . . . . . . . . . . . . . . . . . . . . Quadrature Relaxation Oscillator . . . . . . . . . . . . . . . . . . . . . . . 1 High Level Model . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Quadrature Relaxation Oscillator without Mismatches .

The same result can be determined for νC2 , by doing the calculations at the instants t2 and t4 of Fig. 10. , C1 = C2 ) one oscillator provides a trigger signal to the other, due to the coupling, and tries to modify the amplitude and period of the other oscillator. At the end of a transient period both relaxation oscillators will have different amplitudes but the same frequency, different from f 0 . This change of amplitude and frequency due to mismatches will be analysed in detail in the next section.

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