Enter the number of samples per second into the calculator to convert it to the frequency in hertz. This calculator helps to understand the relationship between the sampling rate of a digital signal and its frequency.
Samples Per Second To Hertz Formula
The following formula is used to convert samples per second to hertz.
f = S
Variables:
- f is the frequency in hertz (Hz)
- S is the number of samples per second
To convert samples per second to hertz, simply use the number of samples per second as the frequency in hertz, since they are equivalent.
| Samples Per Second (sps) | Frequency (Hz) |
|---|---|
| 1 | 1 |
| 2 | 2 |
| 5 | 5 |
| 10 | 10 |
| 20 | 20 |
| 50 | 50 |
| 100 | 100 |
| 200 | 200 |
| 500 | 500 |
| 1000 | 1000 |
| 2000 | 2000 |
| 5000 | 5000 |
| 10000 | 10000 |
| 20000 | 20000 |
| 44100 | 44100 |
| 48000 | 48000 |
| 96000 | 96000 |
| 100000 | 100000 |
| 1000000 | 1000000 |
| 1000000000 | 1000000000 |
| * Exact identity conversion. By definition, 1 sample/second = 1 hertz. Common digital audio and data acquisition rates included. | |
What is Samples Per Second?
Samples per second, also known as the sampling rate, is the number of samples of audio carried per second, measured in Hz or kHz. It is a key parameter in digital signal processing and is critical for accurately reconstructing the amplitude of a sound wave over time.
How to Calculate Frequency from Samples Per Second?
The following steps outline how to convert the number of samples per second to frequency in hertz.
- First, determine the number of samples per second (S).
- Next, use the formula f = S to find the frequency in hertz (f).
- Finally, use the calculator above to verify your result.
Example Problem :
Use the following variable as an example problem to test your knowledge.
number of samples per second (S) = 44100
The frequency in hertz (f) would be 44100 Hz.
