An Introduction to Wavelets (Volume 1) (Wavelet Analysis and Its Applications Volume 1)

About this book

An Introduction to Wavelets is the first volume in a new series WAVELET ANALYSIS AND ITS APPLICATIONS. This is an introductory treatise on wavelet analysis with an emphasis on spline wavelets and time-frequency analysis. Among the basic topics covered in this book are time-frequency localization integral wavelet transforms dyadic wavelets frames spline-wavelets orthonormal wavelet bases and wavelet packets. In addition the author presents a unified treatment of nonorthogonal semiorthogonal and orthogonal wavelets. This monograph is self-contained the only prerequisite being a basic knowledge of function theory and real analysis. It is suitable as a textbook for a beginning course on wavelet analysis and is directed toward both mathematicians and engineers who wish to learn about the subject. Specialists may use this volume as a valuable supplementary reading to the vast literature that has already emerged in this field. This is an introductory treatise on wavelet analysis with an emphasis on spline-wavelets and time-frequency analysis This monograph is self-contained the only prerequisite being a basic knowledge of function theory and real analysis Suitable as a textbook for a beginning course on wavelet analysis