Abstract   This work proposes a novel method to find the phase error and oscillation amplitude in multiphase LC oscillators. A mathematical approach is used to find the relationship between every stage's output phase and its coupling factor. To much more general analysis, every stage assumed to have a different coupling factor. The mismatches in LC tanks are considered as the main source of pha...

There have beem many studies on the analysis and design of low-noise oscillators. Recently, much attention has been paid to the noise reduction technique using coupled oscillators. When oscillators are coupled, the coupling method is very important and affects various factors, for example, the level of noise. In this study, we analyze the phase noise of multiphase CMOS LC oscillators coupled by...

In this paper multiphase oscillators built using fractional-order allpass filters are presented. We examine the theory behind their operation and demonstrate their usefulness in the design of both multiphase and quadrature oscillators. Case design examples are given for various scenarios, while PSPICE and experimental results verify their operation

A study of some reported LC quadrature voltagecontrolled oscillators (LC-QVCO) is performed in which it is shown that robustness of the quadrature oscillation varies depending on the coupling configuration. Next, a new superharmonic LC-QVCO is proposed in which the common source node in either of two identical crossconnected LC-VCOs is coupled via a capacitor to the node common between the two ...

in this work, time domain analysis is used to solve adler’s equation in order to obtain the required time, for an oscillator under external injection, reaching the steady-state condition. mathematical approach has been applied to fully describe the transient of frequency acquisition in injection-locked lc and ring oscillators considering their time-varying nature. then, the analysis is verified...

Single LC oscillators are known for their good phase noise performance. In this paper we analyse the effect of cross-coupling two LC oscillators in order to provide quadrature outputs, which are mandatory in modern transceiver architectures. We present a theoretical study that shows that due to coupling a frequency shift exists and the oscillator quality factor is reduced, leading to a poorer p...

LC oscillators are used most widely in wireless applications as their resonator can store energy, making its phase noise to carrier ratio given a certain power budget superior to ring oscillators. The tuning range of LC oscillators, especially at high frequencies where parasitic capacitance starts becoming significant, is another important design issue. This paper investigates the influence of ...