It is shown that the wavelet correlation dimension is a very relevant
quantity for the characterization of rough surfaces by remote sensing
means. First, the concept of correlation length is generalized to surf
aces with wide power spectrum. Second, it is demonstrated that, in the
framework of the small-perturbation theory, the wavelet correlation d
imension can be retrieved from a knowledge of the backscattered cross
section for a discrete set of frequencies. Rigorous numerical experime
nts confirm these predictions, and in the last section an experimental
scheme for a straightforward derivation of the wavelet correlation di
mension is proposed.