Pll Natural Frequency Calculator
Declared second order type II charge/phase detector loop naturalfHz=√(KdKv/τ)/(2π), unit-loop gain/dimensioned gains no hiddenN; actual effective gain includes divider. Actual matched units/topology and independently established parameters; not a safe device/electrical design or verified manufacturer rating.
Description
A PLL natural-frequency relation depends on a specified second-order effective-gain convention.
A PLL natural-frequency relation depends on a specified second-order effective-gain convention.1
This tool calculates frequency in hertz from supplied gains and a time constant without inserting an unstated divider factor.
When to use Pll Natural Frequency Calculator
Use this tool to calculate frequency in hertz from supplied gains and a time constant without inserting an unstated divider factor.
How to use Pll Natural Frequency Calculator and how it works
- Prepare callerPhaseDetectorGain, callerVcoGainRadiansPerSecondVolt, callerLoopFilterTimeConstantSeconds, with the units, conventions and assumptions below.
- Enter the required fields and run Pll Natural Frequency Calculator.
- Read result.value using the output definitions below.
- Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| callerPhaseDetectorGain | Caller Phase Detector Gain. Use the units and matching context stated in the calculation below. | number | Required; strictly positive; finite; other constraints below |
| callerVcoGainRadiansPerSecondVolt | Caller Vco Gain Radians Per Second Volt. Use the units and matching context stated in the calculation below. | number | Required; strictly positive; finite; other constraints below |
| callerLoopFilterTimeConstantSeconds | Caller Loop Filter Time Constant Seconds. Use the units and matching context stated in the calculation below. | number | Required; strictly positive; finite; other constraints below |
Supply positive phase-detector gain, effective VCO angular-frequency gain and loop time constant on compatible units. Return sqrt(detectorGain*VCOGain/timeConstant)/(2*pi) in hertz when gains give the corresponding radians-per-second model. Divider scaling must be included in the effective gain; the loop topology is assumed.
naturalFrequencyHz=sqrt(phaseDetectorGain*effectiveVCOGain/timeConstant)/(2*pi) Apply the input ordering, units and branch conditions stated above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the calculated or selected fields below. | object |
| result.value | Natural or first-order corner frequency in hertz under the stated model. | number |
{
"input": {
"callerPhaseDetectorGain": 1,
"callerVcoGainRadiansPerSecondVolt": 4,
"callerLoopFilterTimeConstantSeconds": 1
},
"output": {
"result": {
"value": 0.3183098861837907
}
}
}Limitations and assumptions
The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.
All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.
Alternative or Complementary methods
Use PLL Phase Noise Calculator for a complementary operation: PLL phase noise depends on source noise spectra and the loop transfer functions.
Use Pll Lock Range Calculator for a complementary operation: A PLL hold-in range describes a static locking branch under a specified detector and loop model.
References
-
Pll Natural Frequency Calculator — tool.io
Similar or alternative tools
- PLL Phase Noise Calculator
PLL phase noise depends on source noise spectra and the loop transfer functions.
- Pll Lock Range Calculator
A PLL hold-in range describes a static locking branch under a specified detector and loop model.