Kitap Hakkında

The Fourier transform and its extensions, such as the wavelet transform, have proven to be invaluable tools for analyzing signals and data in a wide range of applications. Their ability to decompose signals into their frequency components and provide information about their time-varying characteristics has made them indispensable in fields ranging from engineering and physics to medicine and finance.

This book aims to introduce this fast-growing area especially to researchers in finance and economics by providing an overview of history, theory, and implementations of wavelets in a simple and intuitive manner.

The first chapter starts by presenting the Fourier series and related Fourier transformation methods, and therewith discusses their strengths and shortcomings.

Multi-resolution analysis that addresses the shortcomings of the Fourier transformations is presented in chapter 2. A variety of wavelet analysis techniques are also summarized in this chapter.

The third chapter outlines the main application areas of wavelets including popular industrial implications, and their use in finance literature.

The book ends with a case study where recent wavelet analysis methods are applied to a set of selected stock market data.