Hey hafis,
You can use MATLAB's inbuilt 'snr' function.
snr(x,y) returns the signal-to-noise ratio (SNR) in decibels of a signal x by computing the ratio of its summed squared magnitude to that of the noise y:
Assuming we have :
- original_signal: the clean signal (without noise)
- noisy_signal: the signal with added noise
- filtered_signal: the result after applying your filter
snr_value = snr(original_signal, noisy_signal - original_signal);
In addition to this you can also manually calculate SNR using the formula
signal_power = mean(original_signal.^2);
noise_power = mean((noisy_signal - original_signal).^2);
snr_value = 10 * log10(signal_power / noise_power);
If we want to evaluate how well the filter worked:
noise_after_filter = filtered_signal - original_signal;
snr_filtered = 10 * log10(mean(original_signal.^2) / mean(noise_after_filter.^2));
I have attached the documentation of 'snr' for your reference.
Hope it helps!
