TimeFrequency Masks for Reconstruction

synopsis: TF masks allow high quality reconstruction for decomposed components when you still have access to the original mixture

Assumptions: Additive mixture;

Many spectral decomposition techniques (including NMF and HPSS) work only with the magnitude of the spectrum, and ignore the phase

Resynthesis under these conditions is hard

However, if we still have the original spectrum, we can use our magnitudeonly thing as a mask, essentially reusing the phase information from the original

An important difference between doing this directly when we have a collection of masks is that we scale each one by the total contribution of all of them

This allows us to null sum w/r/t the original

OTOH, it makes for a less pronounced separation
 An alternative is to make a winnertakesall binary mask
 But this introduces more artefacts