How can I choose right filter based on unfiltered and filtered signals

Hi Matlabers

I have two signals in matlab. One is unfiltered and other is filtered. Second is just noiseless version of first unfiltered signal.

How can I find out which filter should I use to get that unfiltred signal from filtred one ?

[Birdman]

Did you obtain the fft of the unfiltered signal?

[Koustubh Shirke]

Hi,

No. I just have two vectors. One is filtered or other is unfiltered . Form that I have to decide the filter .

The goal is , I also have another same kind of unfiltered signal and for that I have to generate the filtered signal by using filter

[Birdman]

Can you share your signals as mat file?

[Koustubh Shirke]

Hi, Unfortunately cant share the data. First signal is more noise, and second filtered signal is smooth

Answer 1

[Image Analyst]

You can't tell definitively. There are lots of different filters that could give the same output of a given signal. It could be a linear filter (like a low pass filter in the time/spatial or Fourier/frequency domain, or an inverse/Wiener filter), or a non-linear filter (like a median filter or whatever).