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

Table 7

Noise contributions @ 1 MHz frequency offset for a 1 μA injected noise current.

Colpitts	Γ^2DC𝑖^2𝑛𝜔Δ𝑓Δ𝜔^1/𝑓			Γ^2rms𝑖^2𝑛Δ𝑓
Oscillation freq.	1 GHz	10 GHz	100 GHz	1 GHz	10 GHz	100 GHz
𝑀1	6.8×10^−33	2.0×10^−33	4.2×10^−32	2.2×10^−33	2.3×10^−33	3.3×10^−33
𝑀2	6.4×10^−32	6.7×10^−32	3.0×10^−32	3.6×10^−33	3.2×10^−33	9.1×10^−34
LC tank				1.6×10^−34	1.6×10^−34	1.3×10^−33
Total (Σ)	7.1×10^−32	6.9×10^−32	7.2×10^−32	6.0×10^−33	5.6×10^−33	5.5×10^−33
Hartley	Γ^2DC𝑖^2𝑛𝜔Δ𝑓Δ𝜔^1/𝑓			Γ^2rms𝑖^2𝑛Δ𝑓
Oscillation freq.	1 GHz	10 GHz	100 GHz	1 GHz	10 GHz	100 GHz
𝑀1	6.2×10^−35	1.7×10^−31	4.4×10^−33	2.4×10^−33	3.1×10^−33	1.1×10^−33
𝑀2	9.8×10^−32	2.7×10^−35	1.3×10^−32	4.2×10^−33	4.2×10^−33	1.2×10^−33
LC tank				1.3×10^−34	1.3×10^−34	2.1×10^−34
Total (Σ)	9.8×10^−32	1.7×10^−31	1.8×10^−32	6.8×10^−33	7.4×10^−33	2.5×10^−33
Cross coupled	Γ^2DC𝑖^2𝑛𝜔Δ𝑓Δ𝜔^1/𝑓			Γ^2rms𝑖^2𝑛Δ𝑓
Oscillation freq.	1 GHz	10 GHz	100 GHz	1 GHz	10 GHz	100 GHz
𝑀3	3.4×10^−33	1.3×10^−34	4.2×10^−32	7.7×10^−34	5.1×10^−34	1.7×10^−33
𝑀4	6.7×10^−33	1.3×10^−32	4.8×10^−32	1.4×10^−34	2.0×10^−34	8.9×10^−34
LC tank				1.7×10^−34	6.5×10^−35	4.3×10^−34
Total (Σ)	1.0×10^−32	1.3×10^−32	9.0×10^−32	1.1×10^−33	7.8×10^−34	3.0×10^−33