Convert an explicit cycle rate and effective bits per cycle to bps, reverse bps to cycle rate, or calculate ideal Nyquist noiseless and Shannon AWGN channel capacity. Hertz alone does not determine bit rate; carrier frequency is not generally symbol rate.
Hertz To Bits Per Second Formula
The following formula uses a cycle or symbol rate and an explicitly supplied effective bits-per-cycle factor. It does not convert an arbitrary carrier frequency to throughput. The Nyquist mode separately uses C = 2B log₂(M) for an ideal noiseless real low-pass channel; Shannon mode uses C = B log₂(1 + S/N) for additive white Gaussian noise with power ratio S/N = 10^(SNRdB/10). Practical rates may be lower.
Variables:
- BPS is the bits per second
- Hz is the frequency in hertz
- BPC is the bits per cycle
To calculate the bits per second, multiply the frequency in hertz by the bits per cycle.
| Hertz (Hz) | Bits per second (bps) |
|---|---|
| 1 | 1 |
| 10 | 10 |
| 50 | 50 |
| 100 | 100 |
| 300 | 300 |
| 600 | 600 |
| 1000 | 1000 |
| 2000 | 2000 |
| 4800 | 4800 |
| 9600 | 9600 |
| 19200 | 19200 |
| 44100 | 44100 |
| 48000 | 48000 |
| 96000 | 96000 |
| 100000 | 100000 |
| 1000000 | 1000000 |
| 2400000 | 2400000 |
| 10000000 | 10000000 |
| 100000000 | 100000000 |
| 1000000000 | 1000000000 |
| * Assumes 1 bit per cycle. Under this assumption, bps = Hz. | |
What is Hertz To Bits Per Second?
Hertz to bits per second conversion is a method used in digital communications to determine the data transfer rate. Hertz (Hz) is a unit of frequency that measures the number of cycles per second. Bits per second (bps) is a unit of data transfer rate that measures the number of bits transmitted per second. The conversion between these two units is essential for understanding and optimizing the performance of communication systems. By knowing the frequency and the number of bits transmitted per cycle, one can easily calculate the data transfer rate in bits per second.
How to Calculate Hertz To Bits Per Second?
The following steps outline how to calculate the bits per second from hertz and bits per cycle.
- First, determine the frequency in hertz (Hz).
- Next, determine the bits per cycle (BPC).
- Finally, calculate the bits per second (BPS) using the formula BPS = Hz * BPC.
- 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.
Frequency in hertz (Hz) = 1000
Bits per cycle (BPC) = 8. Result: 1000 × 8 = 8000 bps.
