filter output variables y,e,w clarification

[siddarth-siddie]

Hey,
I am using the RLS adaptive filtering technique for noise cancellation from the noisy desired signal with reference noise input.

f = pa.filters.FilterRLS(mu=0.9, n=n)
y, e, w = f.run(d, x)

Could you please clarify the terms y,e, and w? I understand that y is the filtered output of reference noise, e is the output error between filtered y and desired signal d and w is the weights. So, the error signal e is the noiseless desired signal we required right?

Thanks in advance :)

[matousc89]

w = adaptive parameters (weights)
e = error
y = predicted result

I guess this paper could help you (or pretty much any paper about adaptive filtering using same notation)
https://www.sciencedirect.com/science/article/pii/S1877750322002460

Wikipedia seems to use similar notation also: https://en.wikipedia.org/wiki/Adaptive_filter#:~:text=An%20adaptive%20filter%20is%20a,adaptive%20filters%20are%20digital%20filters.

Feel free to ask more concrete question if you still struggle.