Contents

#### **Preface XI**



Preface

ing seven chapters. **Acknowledgment**

and engineering such as geophysics and finance.

them useful for signal processing application.

The concept of wavelets is quite new and different to the readers. Original research works were carried out in the field of mathematics, electrical engineering, physics, applied science,

A wavelet is a wavelike oscillation with amplitude that begins at zero, increases, and then decreases back to zero. It can typically be visualized as a "brief oscillation" like the one re‐ corded by a heart monitoring system. Generally, wavelets have specific properties that make

Wavelet theory is applicable to several areas. Wavelet transforms normally come with timefrequency representation for analog signals. For any practical purpose, people use discrete wavelet transforms, which use discrete-time filter banks for implementation. These filter banks are called the wavelet and scaling coefficients in wavelet nomenclature. These filter banks may contain either finite impulse response (FIR) or infinite impulse response (IIR) fil‐

**Scope of the book:** This book is the research outcome of various researchers and professors who have contributed a lot in applying wavelets in different application areas. This book suits researchers doing their research in the area of wavelets and its applications. The under‐ standing of fundamentals of linear algebra and signal processing concepts is essential for the readers before reading this book. This book gives fundamental idea of wavelets and also how wavelets can be applied in different fields such as biomedical, prediction analysis, and finance. I do not have any doubts that this book will motivate researchers in different parts

**Structure of the book:** The book contains 12 chapters grouped into four sections. The reader of the book is expected to know the fundamentals of linear algebra and signal processing, which are available in the standard books. The book starts with an introductory chapter. Section 2 deals with the role of wavelets in biomedical application containing three chapters. Section 3 describes how wavelets can be applied in the field of finance containing two chap‐ ters. Section 4 concentrates on the usage of wavelets in contemporary applications contain‐

I thank the Almighty for showering blessings and giving me intelligence and energy to com‐ plete this work. I thank all the professors and scientists who have contributed to the differ‐ ent chapters. My sincere thanks go to the management of Dr. Mahalingam College of Engineering and Technology and Prof. C. Ramaswamy, Secretary, NIA Institutions, for their encouragement and patronage rendered to carry out this work. I am indebted to my wife

ters. To understand these filters, signal processing concepts are very much essential.

of the world to use the concepts, which are available in this book for their research.

