Mixers, Frequency Conversion, and Synthesizers Practical Mixer and Synthesizer Topics Informational

How do I select the loop filter components for a charge pump PLL synthesizer?

Selecting the loop filter components for a charge pump PLL synthesizer determines the PLL's loop bandwidth, phase margin, settling time, and the phase noise profile of the synthesized output. The loop filter converts the charge pump's pulsed current output into a smooth tuning voltage for the VCO. The standard loop filter topology is: a second-order passive filter (for a Type II, 3rd-order PLL) consisting of: C1 (the main integrating capacitor, connected from the charge pump output to ground), R2 (a resistor in series with C1, providing the zero that ensures stability), and C2 (a small capacitor (C2 = C1/10 to C1/20) in parallel with the R2-C1 series combination, providing a high-frequency pole to attenuate reference spurs). The component values are calculated from: the desired loop bandwidth (f_BW, typically 1/20 to 1/10 of the reference frequency for adequate reference spur filtering): choose f_BW based on the phase noise crossover point (where the multiplied reference noise equals the VCO free-running noise), the desired phase margin (typically 45-60 degrees for stable operation; higher phase margin = slower settling but more stable): PM = arctan(omega_BW x T2) - arctan(omega_BW x T1), where T2 = R2 x C1 (the zero time constant) and T1 = R2 x C2 (the pole time constant), the charge pump current (I_CP, provided by the synthesizer IC, typically 0.1-5 mA), and the VCO gain (K_VCO, in Hz/V, from the VCO datasheet). The component values are: C1 = I_CP x K_VCO / (omega_BW^2 x N) x (1 + T2/T1) (where N is the divider ratio), R2 = T2 / C1, and C2 = T1 / R2.
Category: Mixers, Frequency Conversion, and Synthesizers
Updated: April 2026
Product Tie-In: Mixers, Synthesizers, Amplifiers

PLL Loop Filter Design

The loop filter is the most critical analog component in a PLL synthesizer. Its design directly determines the synthesizer's phase noise, spurious performance, and settling speed.

ParameterPassive DiodeActive FETSubharmonic
Conversion Loss/Gain5-9 dB loss0-10 dB gain8-12 dB loss
LO Drive Level+7 to +17 dBm-5 to +5 dBm+5 to +13 dBm
IP3 (typical)+15 to +30 dBm+5 to +20 dBm+10 to +20 dBm
Noise Figure5-9 dB (= conv. loss)8-15 dB9-14 dB
LO-RF Isolation25-45 dB15-35 dB20-40 dB
  • Performance verification: confirm specifications against the application requirements before finalizing the design
  • Environmental factors: temperature range, humidity, and vibration affect long-term reliability and parameter drift
  • Cost vs. performance: evaluate whether the application demands premium components or standard commercial grades
  • Interface compatibility: verify impedance, connector type, and mechanical form factor match the system architecture
Common Questions

Frequently Asked Questions

Should I use an active or passive loop filter?

Passive loop filter (the standard): simple, no added noise, no power supply needed. The tuning voltage range is limited to the charge pump supply voltage (typically 0-5V). Use when the VCO's tuning range fits within the charge pump's voltage range. Active loop filter (op-amp integrator): provides higher tuning voltage than the charge pump supply (using an op-amp with a higher supply voltage). Adds op-amp noise (degrades close-in phase noise). Used when the VCO requires a wider tuning voltage range or when the PLL needs a specific transfer function that cannot be realized with passive components.

How do I verify the loop filter design?

Simulation: use the synthesizer IC manufacturer's design tool (Analog Devices ADIsimPLL, Texas Instruments WEBENCH PLLatinum) to simulate the PLL's closed-loop response, phase noise, and settling time. These tools calculate the loop filter components and predict performance. Measurement: after building the circuit: measure the open-loop gain and phase margin using the VCO tuning voltage injection method (inject a small sinusoidal signal at the VCO tuning input and measure the response at the charge pump output). Verify: the measured loop bandwidth and phase margin match the design target, the reference spurs are at the expected level, and the settling time (measured by switching the frequency and monitoring the tuning voltage) meets the requirement.

What about integrated PLL filters?

Some modern PLL ICs (e.g., Analog Devices ADF4356, Texas Instruments LMX2594) include on-chip loop filter options or digital loop filters that eliminate external components. Digital loop filters provide: precise bandwidth control (programmable), no component drift with temperature, and the ability to implement complex filter transfer functions. However: on-chip filters are limited to narrow loop bandwidths (due to the digital filter's update rate) and may add quantization noise. For the lowest phase noise: external passive loop filters are still preferred.

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