
Re: Is Match Filtering Ever Used To Recover the Signal's Original Wave Form In Optics?
Posted:
Apr 15, 2012 1:00 AM


> >>>> What does further processing get you in terms of information? > > >>> Supposing you need to squelch when the first derivative of the > >>> original signal exceeds a threshold? > > >>> How do you do that with the convolution? > > >>>> A pretty picture (i.e. waveform) that by visual inspection you can say: > >>>> "SEE? It looks the same as what I started with!! ?? > > >>> A visual comparison of the filtered signal with the template _is_ nice > >>> to have to get a quick idea of the noise problem. > > >>> Bret Cahill > > >> Agreed > > > Here, try again: > > > Supposing you need to squelch when the first derivative of the > > original signal exceeds a threshold? How do you do that with the > > convolution? > > How do you do that with a matched filter?
Recover the original signal by taking the square root of the output  the convolution  in the frequency domain. Then take the inv. FFT. There may be some folding adding and splicing involved.
Bret Cahill

