An indispensable guide to understanding wavelets

Elements of Wavelets for Engineers and Scientists is a guide to wavelets for "the rest of us"—practicing engineers and scientists, nonmathematicians who want to understand and apply such tools as fast Fourier and wavelet transforms. It is carefully designed to he lp professionals in nonmathematical fields to comprehend this very mathematically sophisticated topic and to be prepared for further study on a more mathematically rigorous level.

Detailed discussions, worked-out examples, drawings, and drill problems provide step-by-step guidance on fundamental concepts such as vector spaces, metric, norm, inner product, basis, dimension, biorthogonality, and matrices. Chapters explore . . .

• Functions and transforms
• The sampling theorem
• Multirate processing
• The fast Fourier transform
• The wavelet transform
• QMF filters
• Practical wavelets and filters

. . . as well as many new wavelet applications—image compression, turbulence, and pattern recognition, for instance—that have resulted from recent synergies in fields such as quantum physics and seismic geology.

Elements of Wavelets for Engineers and Scientists is a must for every practicing engineer, scientist, computer programmer, and student needing a practical, top-to-bottom grasp of wavelets.