Preconditioning Filter Bank Decomposition Using Structured Normalized Tight Frames
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-22
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We turn a given filter bank into a filtering scheme that provides perfect reconstruction, synthesis is the adjoint of the analysis part (so-called unitary filter banks), all filters have equal norm, and the essential features of the original filter bank are preserved.
Unitary filter banks providing perfect reconstruction are induced by tight generalized frames, which enable signal decomposition using a set of linear operators.
If, in addition, frame elements have equal norm, then the signal energy is spread through the various filter bank channels in some uniform fashion, which is often more suitable for further signal processing.
We start with a given generalized frame whose elements allow for fast matrix vector multiplication, as, for instance, convolution operators, and compute a normalized tight frame, for which signal analysis and synthesis still preserve those fast algorithmic schemes.
American Psychological Association (APA)
Ehler, Martin. 2015. Preconditioning Filter Bank Decomposition Using Structured Normalized Tight Frames. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1067146
Modern Language Association (MLA)
Ehler, Martin. Preconditioning Filter Bank Decomposition Using Structured Normalized Tight Frames. Journal of Applied Mathematics No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1067146
American Medical Association (AMA)
Ehler, Martin. Preconditioning Filter Bank Decomposition Using Structured Normalized Tight Frames. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1067146
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067146