Technical Resources

PLLs and Clock Synthesis: Jitter Budgets, Loop Filters, and Phase Noise

Every high-performance system runs on distributed clocks, and every distributed clock traces back to a phase-locked loop. The PLL is where reference quality meets multiplication noise — and where a design that "works on paper" loses 2 ENOB in the ADC or closes the SERDES eye. Here is how the pieces interact and how to budget them.

What the Loop Actually Does

A PLL compares a divided version of its output (VCO) against a reference and steers the VCO until the phase error is zero — multiplication by N. The loop bandwidth is the design's main tuning knob, and it cuts both ways:

  • Inside the loop bandwidth: the output follows the reference (and the PFD's own noise). A noisy reference passes through multiplied.
  • Outside the loop bandwidth: the output follows the VCO's free-running noise. A noisy VCO dominates there.
  • The optimum loop bandwidth sits where the two curves cross — widen it to clean up a bad VCO, narrow it to reject a bad reference. Most "mysterious jitter" is a loop bandwidth set without looking at both noise sources.

Phase Noise to Jitter: The Conversion That Matters

Datasheets quote phase noise in dBc/Hz across offset frequencies; systems care about rms jitter — the integral of phase noise over a specified band:

  • ADC clock jitter limits SNR: SNR = −20·log10(2π × f_in × jitter). At a 100 MHz input, 1 ps of jitter caps SNR near 64 dB — regardless of the converter's resolution. This single equation decides most clock requirements.
  • Integration bands matter: 12 kHz–20 MHz (SONET tradition), 1 kHz–10 MHz, or 100 Hz–100 MHz tell different stories. Always convert within the band your receiver or converter specifies — comparing jitters integrated over different bands is a common specification trap.
  • Spurs count as jitter too: fractional-N spurs and reference spurs integrate into the budget; a spur inside the band can dominate an otherwise excellent phase-noise curve.

Loop Filter Design: Where Theory Meets a Real Capacitor

  • A second-order passive filter (R, C, C) usually suffices; its poles set damping and bandwidth. Keep loop dynamics well-damped (phase margin 50–70°) — an underdamped loop rings on every reference disturbance and multiplies jitter near the bandwidth corner.
  • Charge pump and loop filter layout are the analog discipline of the PLL: the CP output is a sensitive node; leakage or coupling there appears directly as spurs and deterministic jitter.
  • Verify VCO control range and power supply pushing: a VCO that is pushed by its own supply rail turns switching noise into phase modulation — clean the PLL supply or add an LDO stage.

Multiplication, Fractional-N, and Spurs

ArchitectureStrengthWatch For
Integer-NCleanest spectrum, no fractional spursChannel spacing limits (PFD frequency = spacing)
Fractional-NFine resolution with high PFD frequencyFractional spurs require dither/DSM — check spur placement
DDS-assisted / multiplier chainsFine step, fast hopDAC/DDS noise floor and alias planning

For clock-tree distribution, remember that every buffer and fan-out adds jitter: budget the distribution network separately, prefer low-additive-noise buffers for critical branches, and keep return paths for each clock pair continuous — timing edges degrade exactly where the return path detours.

Building the Jitter Budget

  1. Start from the consumer: ADC aperture jitter or SERDES TX/RX clocking budget, in the band the datasheet specifies.
  2. Characterize the reference (or pick from vendor phase-noise plots), the PLL (noise figure and spur data), and each buffer's additive jitter.
  3. Sum in RSS with correlation checks — a shared reference means correlated terms that add linearly, not in quadrature.
  4. Leave margin for supply aging, temperature, and the measurement uncertainty of your own bench.
  5. Verify on the bench with a phase-noise analyzer or real-time scope of adequate noise floor — a scope measuring its own jitter tells you nothing.

JTDZ Tech supplies PLL synthesizers, jitter cleaners, clock buffers, and low-noise references from TI, Renesas, SiTime, and ADI — with phase-noise plots ready for your budget. Send us your clock requirement and integration band and we will quote the timing chain that closes it.

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