Convert samples per second (S/s, kS/s, MS/s) to hertz, or a time period in s, ms or µs to Hz, with the Nyquist frequency and sample interval.
Samples Per Second To Hertz Formula
The following formula is used to convert samples per second to hertz.
Variables:
- f is the sampling frequency in hertz (Hz), not the sampled signal frequency
- S is the number of samples per second
For uniform sampling, the numeric samples-per-second rate equals the sampling frequency in hertz. The signal frequency is a separate quantity. If the samples per signal cycle are known, signal frequency = sampling rate ÷ samples per cycle. A chosen sample rate = signal frequency × samples per cycle. General band-limited reconstruction requires sampling above twice the highest signal frequency, with appropriate anti-alias filtering; exactly two samples per cycle is a boundary.
| Samples Per Second (sps) | Sampling 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 |
| * Sampling-event rate identity: 1 sample/second corresponds to 1 Hz sampling frequency. This does not determine the signal frequency. 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 Sampling 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 sampling 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 sampling frequency (f) would be 44100 Hz. This value alone does not identify the sampled signal frequency.
