Title

Probability modelled optimal frames for erasures

Authors

Authors

J. S. Leng; D. G. Han;T. Z. Huang

Comments

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Abbreviated Journal Title

Inverse Probl.

Keywords

Frames; Erasures; Codes; Parseval frames; OPTIMAL DUAL FRAMES; TIGHT FRAMES; COMMUNICATION; TRANSMISSION; QUANTIZATION; Mathematics, Applied; Mathematics

Abstract

We establish a probability model for constructing optimal Parseval frames when erasures occur during the transmission process of the frame coefficient data set. Such frames are called probability modelled (PM) optimal frames for erasures. While (PM) optimal frames exist for all erasures, it is usually difficult to construct them. We characterize all the PM optimal frames for one and two erasures, and propose an algorithm to construct these frames. Examples are given to demonstrate the construction and to compare the decoding/reconstruction effects when both PM optimal Parseval frames and uniform length Parseval frames are used for encoding. (C) 2013 Elsevier Inc. All rights reserved.

Journal Title

Linear Algebra and Its Applications

Volume

Linear Alg. Appl.

Issue/Number

11

Publication Date

1-1-2013

Document Type

Article

DOI Link

http://dx.doi.org/10.1016/j.laa.2013.01.020

Language

English

First Page

4222

Last Page

4236

WOS Identifier

438

ISSN

0024-3795

Recommended Citation

"Probability modelled optimal frames for erasures" (2013). Faculty Bibliography 2010s. 4289.
https://stars.library.ucf.edu/facultybib2010/4289