RWST statistics of the input and output maps of the component separation applied to the mock data. The RWST statistics of , , and are compared. From left to right, the figure panels display (power at a given dyadic scale), (level of anisotropy at a given dyadic scale), (couplings between different dyadic scales), and (angular modulation of the couplings between different dyadic scales). The variable j corresponds to the physical scale of 2^j. The and are normalized with respect to the and are plotted as a function of the scale ratio j₂−j₁ for j₁ ∈ [0, J − 1] and j₂ ∈ [j₁ + 1, J − 1]. Each curve corresponds to a given j₁. The colored bands represent the ±1σ error-bars.