Confusion in Normalised Bandwidth of a signal

1. What is the equation for normalized frequency?
2. Why do we use Normalised frequency?
3. How do you convert normalized frequency to actual frequency?
4. What is Normalised radian frequency?

What is the equation for normalized frequency?

You need only divide the frequency in cycles by the number of samples. For example, a frequency of two cycles is divided by 50 samples, resulting in a normalized frequency of f = 1/25 cycles/sample.

Why do we use Normalised frequency?

The use of normalized frequency allows us to present concepts that are universal to all sample rates in a way that is independent of the sample rate. An example of such a concept is a digital filter design whose bandwidth is specified not in hertz, but as a percentage of the sample rate of the data passing through it.

How do you convert normalized frequency to actual frequency?

To convert normalized frequency back to hertz, multiply by half the sample frequency.

What is Normalised radian frequency?

Normalized frequency is frequency in units of cycles/sample or radians/sample commonly used as the frequency axis for the representation of digital signals.