Nyquist Sampling Rate Calculator

Calculate the minimum sampling rate needed to faithfully capture a signal using the Nyquist-Shannon theorem.

kHz
x

Minimum (Nyquist) Rate

40.0 kHz

Practical Rate (with oversampling)50.0 kHz
Sample Period20.00 µs

Minimum (Nyquist) Rate vs Maximum Signal Frequency

Nyquist-Shannon Sampling Theorem

Formula

f_sample >= 2 x f_max

The minimum sampling rate must be at least twice the highest signal frequency to avoid aliasing. In practice, sample at 2.5x or higher and use an anti-aliasing filter.

Example Calculation

Audio signal with 20 kHz maximum frequency, 2.5x oversampling.

  1. 01Nyquist rate = 2 x 20 = 40 kHz (minimum)
  2. 02Practical rate = 2.5 x 20 = 50 kHz
  3. 03Sample period = 1000 / 50 = 20 us

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