Enter the actual frequency and the maximum possible frequency into the calculator to determine the normalized frequency, or enter the normalized frequency and one of the other values to find the missing variable.

Normalized Frequency Calculator

DSP (f/Fs)
Fiber Optics (V-number)

Enter exactly 2 of the 3 core values; the blank one will be calculated.

Angular frequency ω (rad/s)
Normalized radian freq Ω (rad/sample)
Normalized by Fs (f/Fs)
Normalized by Nyquist (f/(Fs/2))
Samples per cycle
DFT bin (two-sided k)
DFT bin (one-sided k)
Nyquist check

Related Calculators

Normalized Frequency Formula

The following formula is used to calculate the normalized frequency for a given actual frequency and maximum possible frequency.

f_n = \frac{f_a}{f_{max}}

Variables:

  • f_n is the normalized frequency
  • f_a is the actual frequency
  • f_{max} is the maximum possible frequency

To calculate the normalized frequency, divide the actual frequency by the maximum possible frequency.

What is Normalized Frequency?

Normalized frequency is a dimensionless quantity that represents the ratio of an actual frequency to a reference or maximum possible frequency. It is often used in signal processing and communications to compare different frequencies on a common scale. Normalized frequency helps in analyzing and designing systems where frequency scaling is important, such as in digital signal processing (DSP) and filter design.

How to Calculate Normalized Frequency?

The following steps outline how to calculate the normalized frequency.


  1. First, determine the actual frequency (f_a).
  2. Next, determine the maximum possible frequency (f_{max}).
  3. Finally, calculate the normalized frequency using the formula f_n = f_a / f_{max}.
  4. After inserting the values 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.

Actual Frequency (f_a) = 50 Hz

Maximum Possible Frequency (f_{max}) = 100 Hz