Comparative Analyses of Phase Noise in 28 nm CMOS LC Oscillator Circuit Topologies: Hartley, Colpitts, and Common-Source Cross-Coupled Differential Pair

Table 6

Γ_DC, Γ_rms, and relative noise contributions for a 1 μA injected noise source @ 1 MHz offset.

Colpitts	Contribution to total flicker noise; (%)	Contribution to total thermal noise; (%)	ΓDC			Γrms
Oscillation freq.			1 GHz	10 GHz	100 GHz	1 GHz	10 GHz	100 GHz
𝑀1	76.88	67.18	3.8×10^−8	−2.0×10^−8	5.4×10^−7	5.9×10^−7	5.9×10^−7	1.1×10^−6
𝑀2	23.1	32.27	−2.0×10^−7	−2.0×10^−7	9.9×10^−8	1.1×10^−6	1.0×10^−6	7.9×10^−7
LC tank		0.55				2.6×10^−6	1.8×10^−6	6.9×10^−6
Hartley	Contribution to total flicker noise; (%)	Contribution to total thermal noise; (%)	ΓDC			Γrms
Oscillation freq.			1 GHz	10 GHz	100 GHz	1 GHz	10 GHz	100 GHz
𝑀1	76.88	67.18	−4.3×10^−9	1.9×10^−7	1.5×10^−7	6.1×10^−7	7.0×10^−7	5.4×10^−7
𝑀2	23.1	32.27	−3.0×10^−7	−4.1×10^−9	−3.0×10^−7	1.1×10^−6	1.2×10^−6	6.4×10^−7
LC tank		0.55				2.5×10^−6	2.7×10^−6	2.0×10^−6
Cross coupled	Contribution to total flicker noise; (%)	Contribution to total thermal noise; (%)	ΓDC			Γrms
Oscillation freq.			1 GHz	10 GHz	100 GHz	1 GHz	10 GHz	100 GHz
𝑀3	20.60	26.47	−3.3×10^−8	−1.5×10^−8	3.3×10^−7	4.5×10^−7	4.1×10^−7	6.7×10^−7
𝑀4	39.7-each	30.70-each	4.6×10^−8	−1.5×10^−7	2.0×10^−7	2.7×10^−7	3.7×10^−7	6.7×10^−7
LC tank		12.13				1.8×10^−6	1.8×10^−6	2.9×10^−6