LEADER 04387nam 22006495 450 001 9910299664303321 005 20251202141612.0 010 $a0-8176-8418-2 024 7 $a10.1007/978-0-8176-8418-1 035 $a(CKB)3710000000306031 035 $a(SSID)ssj0001386295 035 $a(PQKBManifestationID)11798991 035 $a(PQKBTitleCode)TC0001386295 035 $a(PQKBWorkID)11373773 035 $a(PQKB)10392789 035 $a(DE-He213)978-0-8176-8418-1 035 $a(MiAaPQ)EBC5575085 035 $a(PPN)183089537 035 $a(MiAaPQ)EBC1996424 035 $a(EXLCZ)993710000000306031 100 $a20141124d2015 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aWavelet Transforms and Their Applications /$fby Lokenath Debnath, Firdous Ahmad Shah 205 $a2nd ed. 2015. 210 1$aBoston, MA :$cBirkhäuser Boston :$cImprint: Birkhäuser,$d2015. 215 $a1 online resource (XV, 553 p. 60 illus.) 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a0-8176-8417-4 320 $aIncludes bibliographical references and index. 327 $aBrief Historical Introduction -- Hilbert Spaces and Orthonormal Systems -- Fourier Transformations and Their Applictions -- The Gabor Transform and Time-Frequency Signal Analysis -- The Wigner-Ville Distribution and Time-Frequency Signal Analysis -- The Wavelet Transforms and Their Basic Properties -- Multiresolution Analysis and Construction of Wavelets -- Extensions of Multiresolution Analysis -- Newland's Harmonic Wavelets -- Wavelet Transform Analysis of Turbulence. 330 $aThis textbook is an introduction to wavelet transforms and accessible to a larger audience with diverse backgrounds and interests in mathematics, science, and engineering. Emphasis is placed on the logical development of fundamental ideas and systematic treatment of wavelet analysis and its applications to a wide variety of problems as encountered in various interdisciplinary areas. Numerous standard and challenging topics, applications, and exercises are included in this edition, which will stimulate research interest among senior undergraduate and graduate students. The book contains a large number of examples, which are either directly associated with applications or formulated in terms of the mathematical, physical, and engineering context in which wavelet theory arises. Topics and Features of the Second Edition: · Expanded and revised the historical introduction by including many new topics such as the fractional Fourier transform, and the construction of wavelet bases in various spaces other than and several new extensions of the original multiresolution analysis. · Extensions of the classical theory of multiresolution analysis consisting of ?-multiresolution analysis on the positive half-line and non-uniform multiresolution analysis. · Includes carefully chosen end-of-chapter exercises directly associated with applications or formulated in terms of the mathematical, physical, and engineering context and provides answers to selected exercises for additional help · Completely updated bibliography and enlarged index Mathematicians, physicists, computer engineers, and electrical and mechanical engineers will find Wavelet Transforms and Their Applications an exceptionally complete and accessible text and reference. It is also suitable as a self-study or reference guide for practitioners and professionals. 606 $aSignal processing 606 $aFunctional analysis 606 $aMathematics 606 $aSignal, Speech and Image Processing 606 $aFunctional Analysis 606 $aApplications of Mathematics 615 0$aSignal processing. 615 0$aFunctional analysis. 615 0$aMathematics. 615 14$aSignal, Speech and Image Processing. 615 24$aFunctional Analysis. 615 24$aApplications of Mathematics. 676 $a515/.2433 700 $aDebnath$b Lokenath$4aut$4http://id.loc.gov/vocabulary/relators/aut$042473 702 $aShah$b Firdous Ahmad$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299664303321 996 $aWavelet Transforms and Their Applications$92525398 997 $aUNINA