Download Analysis and Design of Quadrature Oscillators (Analog by Luis B. Oliveira, Jorge R. Fernandes, Igor M. Filanovsky, PDF

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

The subsequent are a few positive aspects of research and layout of Quadrature Oscillators make it various from the prevailing literature on digital oscillators: (1) specialize in quadrature oscillators with actual quadrature and coffee phase-noise, required by way of glossy communique structures; (2) 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; (3) an intensive research of the impact of mismatches at the phase-error and the phase-noise; (4) the realization that quadrature RC oscillators could be a useful replacement to LC oscillators while sector and price could be minimized (in cross-coupled RC oscillators either the quadrature-error and phase-noise are lowered, while in LC oscillators the coupling raises the phase-noise.

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Additional resources for Analysis and Design of Quadrature Oscillators (Analog Circuits and Signal Processing)

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We analyse in detail the RC-CR network, which is the best known approach, and we present other techniques that can be found in the literature: frequency division and Heaven’s technique. 1 RC-CR Network This is the simplest technique and uses an RC-CR network (Fig. 28), in which the input is shifted by +45◦ in the CR branch and by −45◦ in the RC branch. The outputs are in quadrature at all the frequencies, but the amplitude is not constant [2]. The phase shift of vOUT1 is zero at DC and by increasing the frequency decreases asymptotically to −90◦ .

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.

3 Leeson-Cutler Phase-Noise Equation The most used and best known phase-noise model is the Leeson-Cutler semi empirical equation proposed in [39–41]. It is based on the assumption that the oscillator is a linear time invariant system. 24) where: k – Boltzman constant; T – absolute temperature; PS – average power dissipated in the resistive part of the tank; ␻0 – oscillation frequency; Q – quality factor (also known as loaded Q); ␻m – offset from the carrier; ␻1/ f 3 – corner frequency between 1/ f 3 and 1/ f 2 zones of the noise spectrum (represented in Fig.

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