This paper presents the technique using wavelet analysis to solve the response of a single-degree-of-freedom (SDOF) system subjected to transient excitations such as earthquakes. A brief review of the wavelet transform and its discretization, time-frequency representation of the ground motion and the input-output relation for a SDOF system is presented. A new orthogonal basis function has been used for describing the temporal and frequency characteristics of the input and the response in case of a recorded accelerogram during 1971 San Fernando earthquake. Also, the input-output relation in the wavelet domain has been illustrated through comparison with the time domain simulation results.

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