Dimensionalized wavelet transform with application to radar imaging

Wavelet analysis is characterized by the constructive intervention of dilations, and dilations in physics are associated with changes of measurement units. This double observation is at the basis of the introduction of the dimensionalized wavelet transform as a technique that allows the adaptation of the representation of dilations to the physical dimension of the field under study. An imaging process can then be built in accordance with the physical meaning required for the description. Lengthy general developments are avoided by illustrating the method with the practical problem of radar (or sonar) imaging of targets