Real, tight frames with maximal robustness to erasures
Puschel, M.
Kovacevic, J.
Dept. of Electr. & Comput. Eng., Carnegie Mellon Univ., Pittsburgh, PA, USA;
This paper appears in: Data Compression Conference, 2005. Proceedings. DCC 2005
Publication Date: 29-31 March 2005
On page(s): 63- 72
ISSN: 1068-0314
ISBN: 0-7695-2309-9
INSPEC Accession Number: 8463293
Digital Object Identifier: 10.1109/DCC.2005.77
Current Version Published: 2005-04-11
Abstract
Motivated by the use of frames for robust transmission over the Internet, we present a first systematic construction of real tight frames with maximum robustness to erasures. We approach the problem in steps: we first construct maximally robust frames by using polynomial transforms. We then add tightness as an additional property with the help of orthogonal polynomials. Finally, we impose the last requirement of equal norm and construct, to our best knowledge, the first real, tight, equal-norm frames maximally robust to erasures.
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