03638nam 22006855 450 991030024970332120200705025045.03-319-22075-610.1007/978-3-319-22075-8(CKB)3710000000476909(EBL)4178456(SSID)ssj0001585124(PQKBManifestationID)16264688(PQKBTitleCode)TC0001585124(PQKBWorkID)14865169(PQKB)10261453(DE-He213)978-3-319-22075-8(MiAaPQ)EBC4178456(PPN)190527161(EXLCZ)99371000000047690920150915d2015 u| 0engur|n|---|||||txtccrFrom Fourier Analysis to Wavelets /by Jonas Gomes, Luiz Velho1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (216 p.)IMPA Monographs ;3Description based upon print version of record.3-319-22074-8 Includes bibliographical references.Introduction -- Function Representation and Reconstruction -- The Fourier Transform -- Windowed Fourier Transform -- The Wavelet Transform -- Multiresolution Representation -- The Fast Wavelet Transform -- Filter Banks and Multiresolution -- Constructing Wavelets -- Wavelet Design -- Orthogonal Wavelets -- Biorthogonal Wavelets -- Directions and Guidelines -- Appendices.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.IMPA Monographs ;3Fourier analysisHarmonic analysisSignal processingImage processingSpeech processing systemsFourier Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12058Abstract Harmonic Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12015Signal, Image and Speech Processinghttps://scigraph.springernature.com/ontologies/product-market-codes/T24051Fourier analysis.Harmonic analysis.Signal processing.Image processing.Speech processing systems.Fourier Analysis.Abstract Harmonic Analysis.Signal, Image and Speech Processing.510Gomes Jonasauthttp://id.loc.gov/vocabulary/relators/aut755637Velho Luizauthttp://id.loc.gov/vocabulary/relators/autBOOK9910300249703321From Fourier Analysis to Wavelets2494804UNINA