The normalized frequency is the ratio between a frequency and some associated variable. It is usually (though not exclusively) the sampling frequency. This is in the case of signal processing.
| \( f \) | This symbol describes frequency. It represents the number of times something happens per second. It is measured in Hertz (\( \htmlClass{udt-0000000003}{Hz} \)) |
| \( \hat f \) | This is the symbol for normalized frequency. It is a ratio of a frequency with some associated variable, usually sampling frequency (\( \htmlClass{sdt-0000000055}{f_{s}} \)) |
| \( f_{s} \) | This symbol represents sampling frequency, the frequency at which a continuous signal is sampled when converting it to a discrete signal. |
Consider the definition of the Normalized Frequency:
The symbol for normalized frequency is \(\hat f\). It is a ratio of a frequency with some associated variable, usually sampling frequency (\( \htmlClass{sdt-0000000055}{f_{s}} \)).
As it is defined as a ratio, we can define that ratio mathematically as a fraction:
\[\htmlClass{sdt-0000000042}{\hat f} = \frac{\htmlClass{sdt-0000000040}{f}}{\htmlClass{sdt-0000000055}{f_{s}}}\]
Coming soon...