LEADER 01919nam0 2200409 i 450 001 MIL1053984 005 20231121125552.0 010 $a9791254691885 100 $a20221206d2022 ||||0itac50 ba 101 | $aita$cita 102 $ait 181 1$6z01$ai $bxxxe 182 1$6z01$an 200 1 $aIncunaboli ad Agrigento 1.$eBiblioteca Lucchesiana e Biblioteca del Seminario arcivescovile$f[a cura di] Alberto Bellavia ... [et al.] 210 $aRoma$cViella$d2022 215 $a266 p.$cill.$d25 cm 225 | $aIncunaboli$v7 410 0$1001RMS2865862$12001 $aIncunaboli$v7 500 10$aIncunaboli ad Agrigento 1.$3RML0503941$93611123 606 $aIncunaboli$xAgrigento$xBiblioteche comunali [e] Biblioteche private$xCataloghi$2FIR$3RMLC477644$9N 676 $a017.142$9Bibliografie e cataloghi classificati di biblioteche non private. 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Sound and Fourier series -- 2. Digital Sound and Discrete Fourier Analysis -- 3. Discrete Time Filters -- 4. Motivation for Wavelets and Some Simple Examples -- 5. The Filter Representation of Wavelets -- 6. Constructing Interesting Wavelets -- 7. The Polyphase Representation of Filter Bank Transforms -- 8. Digital Images -- 9. Using Tensor Products to Apply Wavelets to Images -- A Basic Linear Algebra. 330 $aThis book offers a user friendly, hands-on, and systematic introduction to applied and computational harmonic analysis: to Fourier analysis, signal processing and wavelets; and to their interplay and applications. The approach is novel, and the book can be used in undergraduate courses, for example, following a first course in linear algebra, but is also suitable for use in graduate level courses. The book will benefit anyone with a basic background in linear algebra. It defines fundamental concepts in signal processing and wavelet theory, assuming only a familiarity with elementary linear algebra. No background in signal processing is needed. Additionally, the book demonstrates in detail why linear algebra is often the best way to go. Those with only a signal processing background are also introduced to the world of linear algebra, although a full course is recommended. The book comes in two versions: one based on MATLAB, and one on Python, demonstrating the feasibility and applications of both approaches. Most of the MATLAB code is available interactively. The applications mainly involve sound and images. The book also includes a rich set of exercises, many of which are of a computational nature. 410 0$aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5514 606 $aAlgebras, Linear 606 $aMathematics$xData processing 606 $aEngineering mathematics 606 $aEngineering$xData processing 606 $aSignal processing 606 $aFourier analysis 606 $aMathematical physics 606 $aLinear Algebra 606 $aComputational Science and Engineering 606 $aMathematical and Computational Engineering Applications 606 $aSignal, Speech and Image Processing 606 $aFourier Analysis 606 $aMathematical Physics 615 0$aAlgebras, Linear. 615 0$aMathematics$xData processing. 615 0$aEngineering mathematics. 615 0$aEngineering$xData processing. 615 0$aSignal processing. 615 0$aFourier analysis. 615 0$aMathematical physics. 615 14$aLinear Algebra. 615 24$aComputational Science and Engineering. 615 24$aMathematical and Computational Engineering Applications. 615 24$aSignal, Speech and Image Processing. 615 24$aFourier Analysis. 615 24$aMathematical Physics. 676 $a512.5 700 $aRyan$b Øyvind$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781364 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910338253603321 996 $aLinear Algebra, Signal Processing, and Wavelets - A Unified Approach$91732543 997 $aUNINA