How to Calculate Gain in Low Pass Filter
Low pass filters are essential in signal processing, and calculating their gain is crucial for understanding and optimizing their performance. This calculator simplifies that process.
- Enter the cutoff frequency (fc), sampling frequency (fs), and filter order.
- Click ‘Calculate’.
- View the results and chart below.
The gain (G) of a low pass filter is calculated using the formula:
G = (sin(π * fc / fs)) / (2 * order + 1)
| fc | fs | Order 1 | Order 2 | Order 3 | Order 4 |
|---|---|---|---|---|---|
| 100 | 1000 | 0.318 | 0.159 | 0.106 | 0.079 |
- Higher order filters have lower gain but better attenuation of high frequencies.
- Choose a suitable filter order based on your specific application and requirements.
What is the difference between a low pass filter and a high pass filter?
A low pass filter allows low frequency signals to pass while attenuating high frequency signals. A high pass filter does the opposite.
For more information, see IEEE Signal Processing Society and IEEE Scholarship.