  The scattering transform is a non-linear signal representation method based
on cascaded wavelet transform magnitudes. In this paper we introduce phase
scattering, a novel approach where we use phase derivatives in a scattering
procedure. We first revisit phase-related concepts for representing
time-frequency information of audio signals, in particular, the partial
derivatives of the phase in the time-frequency domain. By putting analytical
and numerical results in a new light, we set the basis to extend the
phase-based representations to higher orders by means of a scattering
transform, which leads to well localized signal representations of large-scale
structures. All the ideas are introduced in a general way and then applied
using the STFT.
