Deconvolution y vs x. Positive and negative values

ROOT
1

Hello!

Do you know any algorithm to deconvolve signal, which is sum of overlapped individual signals in case of response with positive and negative values?
For example, I have PMT.
PMT generate gauss signal.
But my amplifier not ideal and distort pulse shape.
I know response for amplifier.

If response has only one sign of data (i.e. all values are positive or all values are negative), I can use TSpectrum::Deconvolution.
But this algorithm does not work if my data has positive and negative values.
This situation very common for physics, because charge-sensitive amplifiers give response with both signs.

Here hepunx.rl.ac.uk/~adye/software/u … nfold.html I found overview of several algorithms, but they work with PDFs, which are positive by definition.

I will be very grateful for any information.
Thank you in advance.

Best regards, Vladislav.

2

ROOT provides this root.cern.ch/doc/master/group__Unfold.html

3

Hello!

I have contacted with Stefan Schmitt (author of TUnfold) and he told, that it is possible in principle.
I have not checked yet.

Does root cern have realisation of Wiener deconvolution en.wikipedia.org/wiki/Wiener_deconvolution ?
It is simple to realize, but may be there is ready code.

Best regards, Vladislav.