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Phase Noise to Jitter Converter

Phase Noise to Jitter Converter

Convert a flat phase-noise segment into integrated phase noise, RMS phase noise, RMS jitter, and RMS phase error for clock, RF, and PLL analysis.

Input Parameters

Carrier or clock frequency being analyzed.
dBc/Hz
Assumed flat phase noise across the selected offset range.
Lower offset integration limit.
Upper offset integration limit.

Results

Integration Bandwidth
9.900000e+05 Hz
Integrated Phase Noise
-37.0333 dBc
RMS Phase Noise
0.0140712 rad RMS
RMS Jitter
22.3951 ps RMS
RMS Phase Error
0.806223 deg RMS
Design Note
Flat phase-noise segment estimate

For full phase-noise curves, split the curve into offset-frequency segments and sum the linear noise power.

Equations Used

Linear Phase Noise:

Llinear = 10^(LdBc/10)

Integrated Phase Noise:

φrms = sqrt(2 × Llinear × bandwidth)

RMS Jitter:

Jitter = φrms / (2π × carrier frequency)

RMS Phase in Degrees:

Phase degrees = φrms × 180 / π

Frequently Asked Questions (FAQ)

Q1: What does this phase noise to jitter converter do?
It converts integrated phase noise over an offset range into RMS jitter for clocks, RF carriers, and PLL outputs.

Q2: Why is there a factor of 2?
Single-sideband phase noise is commonly doubled when converting to total phase variance.

Q3: Can I enter a full phase-noise curve?
This version assumes one flat phase-noise segment. For full curves, integrate multiple segments or use measured phase-noise data.

Q4: Why does carrier frequency affect jitter?
The same RMS phase error corresponds to less time jitter at higher carrier frequency.

Q5: Is dBc/Hz the same as integrated dBc?
No. dBc/Hz is a density. Integrated dBc depends on bandwidth.

Q6: Is this suitable for PLL clock analysis?
Yes for first-pass estimates, but production clock jitter should be calculated from the full phase-noise profile.

Disclaimer: This converter assumes a flat phase-noise density across the selected offset band. Real oscillators and PLLs have shaped phase-noise curves with multiple regions. For accurate jitter, integrate the full measured or modeled phase-noise profile.
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