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In this paper, a novel parallel-coupled quadrature LC oscillator (PC-QO) is presented that can automatically eliminate imbalances of output phase and amplitude resulting from mismatches in the LC tanks. The method of using unequal coupling factors in a parallel-coupled quadrature oscillator is the base of this design; canceling the phase and amplitude errors takes place by tuning the imbalanced coupling factor using tuneable tail currents. First, the proposed circuit senses the amplitude error and then adjusts the coupling factors according to the situation. We show that using the inversely proportional coupling factors can eliminate the phase and amplitude error simultaneously. In other words, this design uses the amplitude control loop to cancel the phase and amplitude error. The circuit has been simulated using TSMC 0.18 CMOS practical model to confirm the high accuracy of the analysis and capability of the canceling I / Q mismatch technique. The simulation results show that the phase noise of the proposed quadrature voltage controlled oscillator (QVCO) is −123.9 dBc/Hz at 1 MHz offset from 4.4 GHz operation frequency. The total power consumption of the QVCO is 3.4 mW. [ABSTRACT FROM AUTHOR]

In this article, closed-form equations are proposed for phase and amplitude errors of an in-phase coupled quadrature LC oscillator. First of all, the injected current from coupling network to switching one is analytically calculated in a novel approach. Then, fundamental equations are obtained to derive phase and amplitude errors which are results of mismatches of the tank's inductors, capacitors and resistors. The analysis shows that the LC tank's phase of this oscillator has a negligible deviation from zero that is desirable and causes low phase noise. Also, the study indicates that in-phase coupling of this structure generates an injection current that reduces the output current magnitude. In the following, a mechanism is proposed to compensate the phase error, using intentional mismatch in tail currents. Moreover, In contrast to previous works, there is not a considerable trade-off between phase error and phase noise; meaning phase noise is almost stable while phase error dramatically decreases. Next, Many simulations have been done in TSMC 0.18 μm to evaluate the proposed analytical equations and efficiency of the presented approach. Finally, all of these tests confirm the high accuracy of equations and capability of the mentioned technique. • This article presents information about why in-phase coupling is useful. • This article provides novel technique to calculate phase and amplitude error of an IPC-QO to predict its behaviour. • This article presents an idea to compensate the phase error of the IPC-QO, while phase noise is still stable. • Scientists who work with all types of LC oscillators, in all of transceivers, can benefit from this article. [ABSTRACT FROM AUTHOR]

Summary: In this article, an injection‐locked frequency divider (ILFD) is presented. By assuming the maximum phase of the tank current, we obtain a relation for the lock range. Besides, the effects of parasitic capacitors on the lock range have been probed. The analysis shows that the greater the phase difference between the tail current and injected signal, the phase of the tank current increases and, consequently, the lock range also increases. The accomplished simulations confirm the correct performance of the proposed design and the extracted relationships. The simulations have been CMOS technology and with a 0.9‐V supply voltage. The results show that the current consumption equals 3.7 mA and the power consumption equals 3.33 mW. The proposed ILFD lock range with phase shift technique with power input signal 0 dBm is equal to 5.1 GHz (3.6–8.7 GHz), and the relative percentage of the lock range is also 83%. [ABSTRACT FROM AUTHOR]