Finite Frames Theory and Applications /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Casazza, Peter G. (Editor), Kutyniok, Gitta. (Editor)
• Format: Electronic
• Language: English
• Published: Boston : Birkhũser Boston : Imprint: Birkhũser, 2013.
• Series: Applied and Numerical Harmonic Analysis
• Subjects: Mathematics.; Computer vision.; Fourier analysis.; Operator theory.; Approximations and Expansions.; Signal, Image and Speech Processing.; Fourier Analysis.; Computer Imaging, Vision, Pattern Recognition and Graphics.; Operator Theory.; Applications of Mathematics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-8373-3

Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics. More recently, finite frame theory has grown into an important researc...

Table of Contents:

• Introduction
• Constructing Finite Frames with a Given Spectrum.-Spanning and Independence Properties of Finite.-Alegebraic Geometry and Finite Frames
• Group Frames
• Gabor Framses in Finite Dimensions
• Frames as Codes
• Quantization and Finite Frames
• Finite Frames for Sparse Signal Processing
• Finite Frames and Filter Banks
• Finite Frame theory in Pure Mathematics
• Probabilitstic Frames
• Fusion Frames.