Finite Frames and Filter Banks

Authors

• Matthew C. Fickus, Air Force Institute of TechnologyFollow
• Melody L. Massar, Air Force Institute of Technology
• Dustin G. Mixon, Princeton University

Document Type

Book

Publication Date

1-1-2013

Abstract

Excerpt: Filter banks are fundamental tools of signal and image processing. A filter is a linear operator which computes the inner products of an input signal with all translates of a fixed function. In a filter bank, several filters are applied to the input, and each of the resulting signals is then downsampled. Such operators are closely related to frames, which consist of equally spaced translates of a fixed set of functions. In this chapter, we highlight the rich connections between frame theory and filter banks. Abstract © Springer

Comments

© 2013 Springer Science+Business Media New York

The full-text of this chapter is available by subscription or purchase, using the DOI link below.

Funding note: This work was supported by NSF DMS 1042701, NSF CCF 1017278, AFOSR F1ATA01103J001, AFOSR F1ATA00183G003, and the A.B. Krongard Fellowship. 

DOI

10.1007/978-0-8176-8373-3_10

Source Publication

Finite Frames, ISBN 978-0-8176-8373-3

Recommended Citation

Fickus, M., Massar, M.L., Mixon, D.G. (2013). Finite Frames and Filter Banks. In: Casazza, P., Kutyniok, G. (eds) Finite Frames. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston. https://doi.org/10.1007/978-0-8176-8373-3_10