An easily accessible introduction to wavelet analysis, this book explains the subject using algebra and some basic calculus and stresses applications, such as speech compression, removing noise from audio and images, image compression, and image enhancement. The author offers downloadable software that permits recording, playing, and modifying sound files using wavelet techniques, plus a facility for displaying, printing, and modifying standard IEEE gray field images. New sections include Biorthogonal Wavelets, The JPEG200 Image Compression Standard, Spectrograms, Analyzing Speech and Music with Spectrograms, Wavelet-Based Denoising of Images, and Thresholding Spectrograms for Denoising.
• Studies in Advanced Mathematics
Differential Equations
Mathematics & Statistics for Engineers
Advanced Mathematics
Reference
Professional

This new edition of an indispensable text provides a clear treatment of Fourier Series, Fourier Transforms, and FFTs. The unique software, included with the book and newly updated for this edition, allows the reader to generate, firsthand, images of all aspects of Fourier analysis described in the text. Topics covered include applications to vibrating strings, heat conduction, removal of noise and frequency detection, filtering of Fourier Series and improvement of convergence, and much more.
• Studies in Advanced Mathematics
Applied Mathematics
Mathematics & Statistics for Engineers
Reference
Professional