Identification and synthesis of acoustic scattering components via the wavelet transform

An acoustic scatterer can be described in the time domain by its impulse response function, or in the frequency domain by its form function. Both functions will contain several complementary and distinct components, none of which is fully separable in either the time or frequency domain. This renders Fourier based methods ineffective in identifying and extracting one component from all the others. However, it is possible to do this using the wavelet transform, a transform that yields a two‐dimensional (two‐parameter) representation of a signal. In this paper, this transform is used to identify and extract the acoustic components from physical model data.