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010 _a 2019762259
020 _a9783030018122 (pbk.)
024 7 _a10.1007/978-3-030-01812-2
_2doi
035 _a(DE-He213)978-3-030-01812-2
040 _aDLC
_beng
_epn
_erda
_cDLC
072 7 _aMAT002050
_2bisacsh
072 7 _aPBF
_2bicssc
072 7 _aPBF
_2thema
082 0 4 _a512.5
_223
_bRYA
100 1 _aRyan, Øyvind,
_eAuthor.
_92747
245 1 0 _aLinear Algebra, Signal Processing, and Wavelets - A Unified Approach :
_bMATLAB Version /
_cby Øyvind Ryan.
250 _a1st
260 _aCham, Switzerland :
_bImprint: Springer,
_c2019.
300 _aXXVI, 360 p. ;
_c26cm.
_b1 online resource (XXVI, 360 pages 103 illustrations, 29 illustrations in color.)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
365 _b69.99
_cEuro
490 1 _aSpringer Undergraduate Texts in Mathematics and Technology,
_x1867-5506
505 0 _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.
520 _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.
588 _aDescription based on publisher-supplied MARC data.
650 0 _aAlgebras, Linear.
_92748
650 0 _aApplied mathematics.
_92749
650 0 _aComputer mathematics.
_92750
650 0 _aEngineering mathematics.
_92751
650 0 _aFourier analysis.
_92752
650 0 _aImage processing.
_92753
650 0 _aMathematical physics.
_92754
650 0 _aSignal processing.
_92755
650 0 _aSpeech processing systems.
_92756
650 1 4 _aLinear Algebra.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M11100
_92757
650 2 4 _aComputational Science and Engineering.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M14026
_92758
650 2 4 _aFourier Analysis.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12058
_92759
650 2 4 _aMathematical and Computational Engineering.
_0https://scigraph.springernature.com/ontologies/product-market-codes/T11006
_92760
650 2 4 _aMathematical Physics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M35000
_92761
650 2 4 _aSignal, Image and Speech Processing.
_0https://scigraph.springernature.com/ontologies/product-market-codes/T24051
_92762
653 _aAlgebras, Linear
_aEngineering mathematics
_aComputer science
776 0 8 _iPrint version:
_tLinear algebra, signal processing, and wavelets - a unified approach, matlab version
_z9783030018115
_w(DLC) 2018964077
776 0 8 _iPrinted edition:
_z9783030018115
776 0 8 _iPrinted edition:
_z9783030018139
830 0 _aSpringer Undergraduate Texts in Mathematics and Technology,
_x1867-5506
_92763
906 _a0
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