Discrete Fourier And Wavelet Transforms: An Introduction Through Linear Algebra With Applications To Signal Processing

Goodman, Roe W

ISBN 10: 9814725773 / ISBN 13: 9789814725774

Verlag: Wspc, 2016

Beschreibung

Bestandsnummer des Verkäufers I-9789814725774

Bibliografische Details

• Titel: Discrete Fourier And Wavelet Transforms: An Introduction Through Linear Algebra With Applications To Signal Processing
• Verlag: Wspc
• Erscheinungsjahr: 2016
• Sprache: Englisch
• ISBN-10: 9814725773
• ISBN-13: 9789814725774
• Einband: Softcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

"This book is suitable as a textbook for an introductory undergraduate mathematics course on discrete Fourier and wavelet transforms for students with background in calculus and linear algebra. The particular strength of this book is its accessibility to students with no background in analysis. The exercises and computer explorations provide the reader with many opportunities for active learning. Studying from this text will also help students strengthen their background in linear algebra." Mathematical Association of America This textbook for undergraduate mathematics, science, and engineering students introduces the theory and applications of discrete Fourier and wavelet transforms using elementary linear algebra, without assuming prior knowledge of signal processing or advanced analysis. It explains how to use the Fourier matrix to extract frequency information from a digital signal and how to use circulant matrices to emphasize selected frequency ranges. It introduces discrete wavelet transforms for digital signals through the lifting method and illustrates through examples and computer explorations how these transforms are used in signal and image processing. Then the general theory of discrete wavelet transforms is developed via the matrix algebra of two-channel filter banks. Finally, wavelet transforms for analog signals are constructed based on filter bank results already presented, and the mathematical framework of multiresolution analysis is examined.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.