عنوان

Linear algebra, signal processing, and wavelets - a unified approach :

(Number (ISBN

3030029409

(Number (ISBN

9783030029401

Erroneous ISBN

3030029395

Erroneous ISBN

3030029417

Erroneous ISBN

9783030029395

Erroneous ISBN

9783030029418

Title Proper

Linear algebra, signal processing, and wavelets - a unified approach :

General Material Designation

[Book]

Other Title Information

python version /

First Statement of Responsibility

by Øyvind Ryan.

Place of Publication, Distribution, etc.

Cham :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2019.

Specific Material Designation and Extent of Item

1 online resource

Series Title

Springer Undergraduate Texts in Mathematics and Technology,

ISSN of Series

1867-5506

Text of Note

Includes bibliographical references and index.

Text of Note

Sound and Fourier series -- Digital sound and discrete Fourier analysis -- Discrete time filters -- Motivation for wavelets and some simple examples -- The filter representation of wavelets -- Constructing interesting wavelets -- The polyphase representation of filter bank transforms -- Digital images -- Using tensor products to apply wavelets to images -- Appendix A: Basic linear algebra.

0

Text of Note

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 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.

International Standard Book Number

9783030029395

International Standard Book Number

9783030029418

Algebras, Linear.

Engineering mathematics.

Fourier analysis.

Wavelets (Mathematics)

Algebras, Linear.

Computer science.

Engineering mathematics.

Fourier analysis.

MAT002050

PBF

PBF

Number

Edition

Class number

Book number

Ryan, Øyvind.

Date of Transaction

20200823074802.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y