This paper presents a comprehensive study of phase noise (PN) suppression in LC-tank oscillators. The goal of this study is to provide designers with the latest techniques for reducing PN in cross-coupled oscillators. To this end, we begin with a discussion of two prevalent PN models in oscillators: Hajimiri and Demir. We prefer the Hajimiri model because it does not involve very complicated math, and it offers engineers better insight into designing low-PN oscillators in the two-PN close-in regions in an oscillator spectrum (1/f 2 and 1/f 3 ). In 1/f 2 region, we show that a need for a large output-voltage swing leads to Class D and B oscillators, and a large output-current swing results in Class C oscillators. Also, reduction of the impulse sensitivity functions (ISFs) of an oscillator core can happen in Class F oscillators. A few solutions are presented for mitigating flicker noise up-conversion, such as adding resistances, controlling the oscillation amplitude, decreasing the conduction angle, guiding the high-frequency harmonics of current, and shifting the phase of V GS against V DS . We also provide a comparison of recent state-of-the-art literature to show what constitutes a good PN in both 1/f 2 and 1/f 3 regions in cross-coupled oscillators. We conclude that a cross-coupled oscillator can reach the best performances in 1/f 3 and 1/f 2 PN regions if the oscillator is designed in Class C with the K block and uses the techniques of narrowing the conduction angle, the tail inductor, and the modified tank simultaneously.