Basic LC VCOs - UCLA Electrical Engineering

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3. Voltage-Controlled Oscillators. ○ Center Frequency. ○ Tuning Range: - Band of Interest. - PVT Variations. ○ Gain (Sensitivity). ○ Supply Rejection.
Basic LC VCOs

Behzad Razavi Electrical Engineering Department University of California, Los Angeles

Outline

• • • • •

Operation of Oscillators One-Port View Cross-Coupled Oscillator VCO Techniques Discrete Tuning

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Voltage-Controlled Oscillators Center Frequency z Tuning Range: - Band of Interest - PVT Variations z

z

Gain (Sensitivity)

z

Supply Rejection

Tuning Linearity z Intrinsic Jitter z Output Amplitude z

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Feedback Oscillator

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One-Port View



Example of negative resistance:

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Use of Resonance in Oscillator Design

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Cross-Coupled Oscillator

• •

Looks like a diff pair with positive feedback. Oscillation freq is given by:

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Use of Symmetric Inductor



Requires accurate model of inductor. Æ can’t begin design without a useful inductor library. 8

Output Swing



Peak differential output voltage swing is given by:



How much is the output CM level?

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Supply Sensitivity



Voltage-dependent CDB results in a finite Kvco from VDD to output frequency:

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One-Port View

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How Do We Vary the Frequeny?

• Use a MOS varactor.

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VCO Type I

• •



To maximize tuning range, we wish to minimize C1. But C1 is given by: - Caps of M1 and M2 (including 4Cgd) - Cap of L1 - Input cap of next stage Tuning range may be limited. 13

VCO Type II



Select device dimensions to set the output CM level to about Vdd/2.

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Varactor Modulation by IDD

• •

Noise of current mirror becomes the dominant source. Does this effect exist in Type I VCO? 15

VCO Type III



Tuning range:



With 5% bottom-plate parasitic cap:

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VCO Type IV • • •

Select device dimensions to set the output CM level to about Vdd/2. Output swing twice that of previous topologies. But tail noise modulates varactors.

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Discrete Tuning



But on-resistance of switches lowers tank Q:

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Use of “Floating” Switch

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