TY  - BOOK
AU  - Ryan,Øyvind
TI  - Linear Algebra, Signal Processing, and Wavelets - A Unified Approach: MATLAB Version 
T2  - Springer Undergraduate Texts in Mathematics and Technology,
SN  - 9783030018122 (pbk.)
U1  - 512.5 23
PY  - 2019///
CY  - Cham, Switzerland
PB  - Imprint: Springer
KW  - Algebras, Linear
KW  - Applied mathematics
KW  - Computer mathematics
KW  - Engineering mathematics
KW  - Fourier analysis
KW  - Image processing
KW  - Mathematical physics
KW  - Signal processing
KW  - Speech processing systems
KW  - Linear Algebra
KW  - Computational Science and Engineering
KW  - Fourier Analysis
KW  - Mathematical and Computational Engineering
KW  - Mathematical Physics
KW  - Signal, Image and Speech Processing
KW  - Algebras, Linear	
KW  - Engineering mathematics	
KW  - Computer science	
N1  - 1. 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
N2  - This 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
ER  -