Probability modelled optimal frames for erasures

    Authors

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

    Comments

    Authors: contact us about adding a copy of your work at [email protected]

    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

    Share

    COinS
     

    Accessibility Statement

    This item was created or digitized prior to April 24, 2027, or is a reproduction of legacy media created before that date. It is preserved in its original, unmodified state specifically for research, reference, or historical recordkeeping. In accordance with the ADA Title II Final Rule, the University Libraries provides accessible versions of archival materials upon request. To request an accommodation for this item, please submit an accessibility request form.