ABSTRACT
In the earlier chapters, wavelet transform was used to study vibration problems. In the next part of the book, starting with this chapter, wavelet transform will be used to solve wave propagation problems. Before going into the details of wavelet-based solution procedure in the following chapters, this chapter gives an introduction to wave propagation, particularly spectral analysis of wave propagation. Such spectral analysis helps to study the frequency dependent wave characteristics and finally formulation of Spectral Finite Element (SFE) method. Here, the concepts of Fourier transform, mostly discrete Fourier transform (DFT) as explained in Chapter 2, are widely used. Solution of the problem in transformed wavelet domain being closely related to spectral analysis of wave propagation, this chapter is essential to comprehend the wavelet-based methodology explained later.
