Introduction to Multiresolution Analysis
Abdeldjalil Ouahabi · 2012
This chapter introduces the “wavelet” tool via multiresolution analysis (MRA) to make it accessible to the widest possible range of users from the academic world as well as from the socioeconomic world. It then focuses on the concept of MRA and the equivalence of orthonormal wavelet bases and filter banks, leading to the rapid, linearly complex algorithms used for the calculation of a wavelet transform. The multiresolution analysis and the criteria for choosing a wavelet provided underpin the chapter, highlighting the take-home message of the problems discussed. Finally, informative illustrations help the uninitiated reader to better conceptualize certain ideas, manifested in particular applications and frequently accompanied by the corresponding Matlab® code. Controlled Vocabulary Terms audio watermarking; curvelet transforms