Calculate Low-Pass Filter DB
Introduction & Importance
Low-pass filters are essential in signal processing, and calculating their decibel (dB) values is crucial for designing and analyzing filters. This calculator helps you determine the required filter order and gain for a given cutoff frequency and sample rate.
How to Use This Calculator
- Enter the cutoff frequency (Hz) and sample rate (Hz).
- Select the filter order.
- Click “Calculate”.
Formula & Methodology
The formula for calculating the low-pass filter db is based on the Butterworth filter design:
H(dB) = 10 * log10((1 + (Q * fc / fs)^(2 * order)) / (1 + sqrt(2) * Q * fc / fs))
where:
- H(dB) is the gain in decibels.
- Q is the quality factor (1 for Butterworth).
- fc is the cutoff frequency.
- fs is the sample rate.
- order is the filter order.