Probability modelled optimal frames for erasures

    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

    Language

    English

    First Page

    4222

    Last Page

    4236

    WOS Identifier

    438

    ISSN

    0024-3795

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