Controls Engineering

PID Loop Noise Bandwidth vs. Sensor Sampling Rate Aliasing Risk Index Calculator

PID Loop Noise Bandwidth vs. Sensor Sampling Rate Aliasing Risk Index engineering calculator.

Quick Answer

Calculate PID Loop Noise Bandwidth vs. Sensor Sampling Rate Aliasing Risk Index

Calculator

Aliasing Risk Index (dimensionless)
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Result Interpretation

PID Loop Noise Bandwidth vs. Sensor Sampling Rate Aliasing Risk Index Calculator computes Aliasing Risk Index in dimensionless using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

  • PID Loop Noise Bandwidth = 5
  • Sensor Sampling Rate = 200

Expected Result:

  • Aliasing Risk Index = 0.0025

Engineering Interpretation:

Under the given input conditions, the calculated result is: Aliasing Risk Index = 0.0025 dimensionless.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

aliasing risk index = pow(2.0 * pid loop noise bandwidth / sensor sampling rate, 2.0)

Formula family: formula_controls_pid_loop_noise_bandwidth_vs_sensor_sampling_rate_aliasing_risk_validator

Variables

SymbolLabelRoleDescription
pid_noise_bandwidth_Hz PID Loop Noise Bandwidth INPUT PID Loop Noise Bandwidth
sensor_sampling_rate_Hz Sensor Sampling Rate INPUT Sensor Sampling Rate
aliasing_risk_index Aliasing Risk Index OUTPUT Aliasing Risk Index

Calculation Steps

  1. Enter the pid loop noise bandwidth in Hz.
  2. Enter the sensor sampling rate in Hz.
  3. Step 1: Compute aliasing risk index.
  4. Read the aliasing risk index (dimensionless) from the results.

Engineering Summary

Calculate PID Loop Noise Bandwidth vs. Sensor Sampling Rate Aliasing Risk Index

Frequently Asked Questions

What does this calculator calculate?

The PID Loop Noise Bandwidth vs. Sensor Sampling Rate Aliasing Risk Index Calculator estimates Aliasing Risk Index based on the input parameters you provide

Why is pid loop noise bandwidth important in this calculation?

pid loop noise bandwidth is directly proportional to aliasing risk index. When you enter pid loop noise bandwidth in Hz, the calculator uses it in the engineering formula to compute the output

How should I interpret the result aliasing risk index?

The calculator outputs aliasing risk index in dimensionless. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: PID Loop Noise Bandwidth (Hz), Sensor Sampling Rate (Hz). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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