[burfog]

How does this relate to the chirplet transform? Are we still lacking an inverse chirplet transform?

[simo_dax]

The chirplet transform is a discrete-time implementation (i.e uses samples instead of continuous functions) of the mathematical transform i've written

   The corresponding inverse transform (the "sum" of the components to get the starting signal back) didn't exist before

This is exactly the inverse chirplet transform, which the guys in the article found a way to compute