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What is the formula to find order of Butterwoth LPF ?Select one:

Question

What is the formula to find order of Butterwoth LPF ?Select one:

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Solution

To find the order of a Butterworth Low Pass Filter (LPF), you can use the following formula:

Order = (log(1/δ)) / (2 * log(ωc))

Where:

  • δ is the maximum allowable passband ripple (expressed as a decimal)
  • ωc is the cutoff frequency of the filter

To calculate the order, follow these steps:

  1. Determine the maximum allowable passband ripple, δ. This value is typically specified in the filter design requirements.

  2. Determine the cutoff frequency, ωc. This is the frequency at which the filter starts attenuating the signal.

  3. Plug the values of δ and ωc into the formula: Order = (log(1/δ)) / (2 * log(ωc))

  4. Calculate the logarithm of 1/δ and the logarithm of ωc.

  5. Divide the logarithm of 1/δ by twice the logarithm of ωc.

  6. Round the result to the nearest whole number to obtain the order of the Butterworth LPF.

Remember to use the appropriate units for the cutoff frequency and ensure that the passband ripple is within the specified limits for your application.

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