Calculate sampling period, frequency, Nyquist limits, and FFT bin spacing from a uniform sample rate, sample count, and record duration.

Uniform, baseband sampling assumed. Nyquist arithmetic does not replace an anti-alias filter or establish clinical settings.

Sampling Frequency Formula

The following example outlines the steps and information needed to calculate the Sampling Frequency.

fs = 1 / Ts

Variables:

  • fs is the Sampling Frequency (Hz)
  • Ts is the sampling period (seconds) 

To calculate sampling frequency in hertz, divide 1 by the sampling period in seconds. For ideal band-limited baseband sampling, the rate must exceed twice the highest signal frequency; practical anti-alias filters need additional margin. FFT modes use record duration N / fs and report bin spacing fs / N; when estimating a sample count, the calculator rounds up to whole samples and reports the resulting actual duration.

How to Calculate Sampling Frequency?

The following steps outline how to calculate the Sampling Frequency.

  1. First, determine the sampling period (seconds). 
  2. Next, gather the formula from above = fs = 1/Ts.
  3. Finally, calculate the Sampling Frequency.
  4. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

sampling period (seconds) = 30

fs = 1/Ts = ?