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Surface acoustic wave (SAW) filter properties of ZnO/diamond/Si structures are calculated including velocity dispersion. The conventional SAW device modeling has previously been developed for bulk substrates. However, layered materials exhibit SAW velocity dispersion. The null frequency bandwidth of typical layered ZnO/diamond/Si structures is narrower than that calculated by conventional SAW device modeling techniques due to the velocity dispersion of the layered structures. The null frequency bandwidth of layered structures was calculated by the delta function model and the equivalent circuit model, including velocity dispersion, and compared with the experimental results. The dispersive equivalent circuit (DEC) model for layered structures is also presented. The results of these analysis are compared with the experimental results which show very good agreement.