Abstract: A fast time-resolved aberration wavefront reconstruction method named SABT has been applied in the study of aero-optics. The introduction of scale-independent convection velocity hypothesis results in the wavefront measured errors. The measured signals were multi-scale decomposed by wavelet analysis and the scale-dependent convection velocities are computed with correlation method, then the scale-dependent convection velocities are used to reconstruct the wavefronts. The results indicate that the scale-dependent SABT can improve the precision of wavefront reconstruction than single convection velocity SABT.