The general objective in this paper is the loss-insensitive transmission of vectors by linear, redundant encoding with the help of frames. Our specific goal is to find frames which minimize the mean-square reconstruction error for cyclic burst erasures with known burst-length statistics. Finding the best frames among the cyclic ones is reduced to a discrete optimization problem. We provide an upper and lower bound for the mean-square error and discuss a family of frames for which both bounds coincide while the upper bound is minimized.

Date Published: 20 September 2007
PDF: 9 pages
Proc. SPIE 6701, Wavelets XII, 67011P (20 September 2007); doi: 10.1117/12.730796

Published in SPIE Proceedings Vol. 6701:
Wavelets XII
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)