Burst erasures and the mean-square error for cyclic frames

Bernhard G. Bodmann

doi:10.1117/12.730796

20 September 2007 Burst erasures and the mean-square error for cyclic frames

Bernhard G. Bodmann

Proceedings Volume 6701, Wavelets XII; 67011P (2007) https://doi.org/10.1117/12.730796
Event: Optical Engineering + Applications, 2007, San Diego, California, United States

Abstract

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.

Citation Download Citation

Bernhard G. Bodmann "Burst erasures and the mean-square error for cyclic frames", Proc. SPIE 6701, Wavelets XII, 67011P (20 September 2007); https://doi.org/10.1117/12.730796

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