Discrete series expansion with simple ground transfer functions

Abstract

Site amplification under the strong ground motion is an important factor to quantify the earthquake hazard in a particular region. Recently, the site amplification in the frequency domain has been modeled by a superposition of ground transfer functions for two-layered model based on the existence of the series expansion for L² functions. In this study, I focus on the discrete representation of the series expansion, and discuss its characteristic. In addition, I introdue its application to decompose the major component represented by the two-layered simple transfer function, and its performance.