Insights into wavelets: from theory to practice

Practice The rapid growth of the theory of wavelets and their application in diverse areas-ranging from oil exploration to bioinformatics, and astrophysics-has made it imperative that engineers and scientists pursuing these areas have a working knowledge of wavelets. In the past few years, the study of wavelets and the exploration of the principles governing their behaviour have brought about sweeping changes in the disciplines of pure and applied mathematics and sciences. Keeping this in mind, the authors have specifically written this comprehensive text to fulfill the curriculum requirements of a course on wavelets. It offers an introduction to wavelet analysis, in an easy-to-understand style, without mathematical rigour. Beginning with a description of the origin of wavelets and a discussion on the recent developments, the book moves on to explain the basic concepts in Fourier series, continuous wavelet transform, discrete wavelet transform, lifting scheme and applications of wavelets in image compression, signal denoising and computer graphics. Intended primarily as a textbook for the postgraduate students of computer science, electrical/electronics and communication engineering, this book would also be useful for the practising engineers and researchers. Practice The rapid growth of the theory of wavelets and their application in diverse areas-ranging from oil exploration to bioinformatics, and astrophysics-has made it imperative that engineers and scientists pursuing these areas have a working knowledge of wavelets. In the past few years, the study of wavelets and the exploration of the principles governing their behaviour have brought about sweeping changes in the disciplines of pure and applied mathematics and sciences. Keeping this in mind, the authors have specifically written this comprehensive text to fulfill the curriculum requirements of a course on wavelets. It offers an introduction to wavelet analysis, in an easy-to-understand style, without mathematical rigour. Beginning with a description of the origin of wavelets and a discussion on the recent developments, the book moves on to explain the basic concepts in Fourier series, continuous wavelet transform, discrete wavelet transform, lifting scheme and applications of wavelets in image compression, signal denoising and computer graphics. Intended primarily as a textbook for the postgraduate students of computer science, electrical/electronics and communication engineering, this book would also be useful for the practising engineers and researchers.