Constructions and existence of tight fusion frames

Peter G. Casazza; Matthew Fickus; Dustin G. Mixon; Yang Wang; Zhengfang Zhou

doi:10.1117/12.825645

3 September 2009 Constructions and existence of tight fusion frames

Peter G. Casazza, Matthew Fickus, Dustin G. Mixon, Yang Wang, Zhengfang Zhou

Proceedings Volume 7446, Wavelets XIII; 744613 (2009) https://doi.org/10.1117/12.825645
Event: SPIE Optical Engineering + Applications, 2009, San Diego, California, United States

Abstract

Fusion frames are an emerging topic of frame theory, with applications to communications and distributed processing. However, until recently, little was known about the existence of tight fusion frames, much less how to construct them. We discuss a new method for constructing tight fusion frames which is akin to playing Tetris with the spectrum of the frame operator. When combined with some easily obtained necessary conditions, these Spectral Tetris constructions provide a near complete characterization of the existence of tight fusion frames.

Citation Download Citation

Peter G. Casazza, Matthew Fickus, Dustin G. Mixon, Yang Wang, and Zhengfang Zhou "Constructions and existence of tight fusion frames", Proc. SPIE 7446, Wavelets XIII, 744613 (3 September 2009); https://doi.org/10.1117/12.825645

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available