Dynamic source inversion method was proposed to estimate source rupture processes based on physical relationship between the stress and strain field near the fault plane. We propose to introduce Walsh functions into the multi-scale inversion for dynamic source inversion method. The ambiguities about the rupture time, which is one of the estimated parameters named consolidated dynamic parameters, are revealed. The effects of observation noise and the number of observed stations are examined through numerical simulations. We found the space distribution were moderately estimated under the strong noise excitation or 1 site observation if the initial models of rupture time distribution are given accurately.