Beat-Note Phase Noise
Calculate beat-note RMS phase noise and equivalent timing jitter.
Description
Beat-note phase scatter converts to timing jitter through the beat frequency.
Beat-note phase scatter converts to timing jitter through the beat frequency. Population RMS is calculated after removing the sample mean.1
Calculate beat-note RMS phase noise and equivalent timing jitter.
When to use Beat-Note Phase Noise
Use this tool to calculate beat-note RMS phase noise and equivalent timing jitter.
Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.
How to use Beat-Note Phase Noise and understand its results
- Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.
- Enter phaseSamplesRadians, beatFrequencyHertz using the field table and calculation rules, then run the tool.
- Read meanPhaseRadians, rmsPhaseNoiseRadians, timingJitterSeconds. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| phaseSamplesRadians | Beat-note phase samples (rad) | list of number | Required |
| beatFrequencyHertz | Beat frequency (Hz) | number; minimum: 0 | Required |
Enter nonempty finite phase-radian samples and positive beat Hz. Return mean, RMS phase noise and seconds jitter.
RMSphase=sqrt(Σ(phase−mean)²/n); jitter=RMSphase/(2πfrequency) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| meanPhaseRadians | Mean phase (rad) | number |
| rmsPhaseNoiseRadians | RMS phase noise (rad) | number; minimum: 0 |
| timingJitterSeconds | Equivalent timing jitter (s) | number; minimum: 0 |
{
"input": {
"phaseSamplesRadians": [
-1,
1
],
"beatFrequencyHertz": 0.15915494309189535
},
"output": {
"meanPhaseRadians": 0,
"rmsPhaseNoiseRadians": 1,
"timingJitterSeconds": 1
}
}Limitations and assumptions
No phase unwrapping, circular statistics, phase-noise spectrum or bandwidth integration is performed.
Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Cavity Polarimetry Sensitivity: Estimate cavity-enhanced polarimetry rotation sensitivity from finesse and detector noise. For a complementary task, use Cantilever Photoacoustic Gain: Compare cantilever and baseline photoacoustic signal and SNR.
References
-
Beat-Note Phase Noise — tool.io
Similar or alternative tools
- Cavity Polarimetry Sensitivity
Estimate cavity-enhanced polarimetry rotation sensitivity from finesse and detector noise.
- Cantilever Photoacoustic Gain
Compare cantilever and baseline photoacoustic signal and SNR.