Wavelets And Multi Resolution Analysis
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From Fourier Analysis to Wavelets
This text introduces the basic concepts of function spaces and operators, both from the continuous and discrete viewpoints. Fourier and Window Fourier Transforms are introduced and used as a guide to arrive at the concept of Wavelet transform. The fundamental aspects of multiresolution representation, and its importance to function discretization and to the construction of wavelets is also discussed. Emphasis is given on ideas and intuition, avoiding the heavy computations which are usually involved in the study of wavelets. Readers should have a basic knowledge of linear algebra, calculus, and some familiarity with complex analysis. Basic knowledge of signal and image processing is desirable. This text originated from a set of notes in Portuguese that the authors wrote for a wavelet course on the Brazilian Mathematical Colloquium in 1997 at IMPA, Rio de Janeiro.
Wavelets and Multi-Resolution Analysis
This book provides a comprehensive overview of wavelets starting from the fundamentals of signal analysis using wavelets, to cutting edge technologies like optimum wavelet design for specific applications. To introduce different concepts the authors have used narrative and real world examples with illustrative drawings that enable the reader to visualise the concepts. The book features a mathematical tool for analysing signals with variable resolution in the time and frequency domain. The authors have used simple, innovative and illustrative methods and examples for explaining different concepts. The Matlab programs, included in each chapter, help to give insights into various engineering problems in signal processing. This book can be used by practicing researchers, engineers, and undergraduate or postgraduate level students for computer science and allied courses.
Data-Driven Science and Engineering
Author: Steven L. Brunton
language: en
Publisher: Cambridge University Press
Release Date: 2022-05-05
A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.