MEMS Accelerometer Bandwidth Calculator

Restricted MEMS signal chain first order RC−3dBbandwidth1/(2πτ), actual measured/fittedτ, not mechanical resonance/Qor multi-pole manufacturer bandwidth. Actual matched units/topology and independently established parameters; not a safe device/electrical design or verified manufacturer rating.

Description

A first-order low-pass time constant defines a model corner frequency distinct from mechanical resonance.

A first-order low-pass time constant defines a model corner frequency distinct from mechanical resonance.1

This tool calculates the restricted MEMS signal-chain bandwidth without inferring a manufacturer's full bandwidth.

When to use MEMS Accelerometer Bandwidth Calculator

Use this tool to calculate the restricted MEMS signal-chain bandwidth without inferring a manufacturer's full bandwidth.

How to use MEMS Accelerometer Bandwidth Calculator and how it works

  1. Prepare callerActualFirstOrderLowPassTimeConstantSeconds, with the units, conventions and assumptions below.
  2. Enter the required fields and run MEMS Accelerometer Bandwidth Calculator.
  3. Read result.value using the output definitions below.
  4. Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
Input fieldMeaningValue typeRequirement
callerActualFirstOrderLowPassTimeConstantSecondsCaller Actual First Order Low Pass Time Constant Seconds. Use the units and matching context stated in the calculation below.numberRequired; strictly positive; finite; other constraints below

Supply a positive first-order time constant in seconds. Return 1/(2*pi*timeConstant) in hertz as the first-order corner frequency. Multi-pole sensor dynamics and manufacturer operating bandwidth are not derived.

bandwidthHz=1/(2*pi*timeConstantSeconds)

Apply the input ordering, units and branch conditions stated above.

Output fieldMeaningValue type
resultObject containing the calculated or selected fields below.object
result.valueNatural or first-order corner frequency in hertz under the stated model.number
json
{
  "input": {
    "callerActualFirstOrderLowPassTimeConstantSeconds": 1
  },
  "output": {
    "result": {
      "value": 0.15915494309189535
    }
  }
}

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 Damping Ratio Calculator for a complementary operation: A specified second-order PLL damping convention relates loop-zero time constant to natural angular frequency.

Use Audio Crossover Phase Calculator for a complementary operation: A first-order low-pass phase has a signed frequency-to-corner relation.

References

  1. MEMS Accelerometer Bandwidth Calculator — tool.io

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