Title

Probability Modelled Optimal Frames For Erasures

Keywords

Codes; Erasures; Frames; Parseval frames

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. © 2013 Elsevier Inc. All rights reserved.

Publication Date

6-1-2013

Publication Title

Linear Algebra and Its Applications

Volume

438

Issue

11

Number of Pages

4222-4236

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.laa.2013.01.020

Socpus ID

84875460240 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84875460240

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