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010   $a3-030-01812-1
024 7 $a10.1007/978-3-030-01812-2
035   $a(CKB)4100000007761845
035   $a(DE-He213)978-3-030-01812-2
035   $a(MiAaPQ)EBC5926237
035   $a(PPN)235232467
035   $a(EXLCZ)994100000007761845
100   $a20190305d2019      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aLinear Algebra, Signal Processing, and Wavelets - A Unified Approach $eMATLAB Version /$fby Øyvind Ryan
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (XXVI, 360 p. 103 illus., 29 illus. in color.) 
225 1 $aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5514
311 08$a3-030-01811-3 
320   $aIncludes bibliographical references and index.
327   $a1. 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