Linear Algebra, Signal Processing, and Wavelets - A Unified Approach MATLAB Version /

• Main Author: Ryan, Øyvind (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Springer Undergraduate Texts in Mathematics and Technology,
• Subjects: Algebras, Linear.; Computer mathematics.; Applied mathematics.; Engineering mathematics.; Signal processing.; Image processing.; Speech processing systems.; Fourier analysis.; Mathematical physics.; Linear Algebra.; Computational Science and Engineering.; Mathematical and Computational Engineering.; Signal, Image and Speech Processing.; Fourier Analysis.; Mathematical Physics.

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,...

Table of Contents:

• 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.