Holographic sensing

Holographic representations of data encode information in packets of equal importance that enable progressive recovery. The quality of recovered data improves as more and more packets become available. This progressive recovery of the information is independent of the order in which packets become a...

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Main Authors: Bruckstein, Alfred Marcel, Ezerman, Martianus Frederic, Fahreza, Adamas Aqsa, Ling, San
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2020
Subjects:
Online Access:https://hdl.handle.net/10356/138504
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author Bruckstein, Alfred Marcel
Ezerman, Martianus Frederic
Fahreza, Adamas Aqsa
Ling, San
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Bruckstein, Alfred Marcel
Ezerman, Martianus Frederic
Fahreza, Adamas Aqsa
Ling, San
author_sort Bruckstein, Alfred Marcel
collection NTU
description Holographic representations of data encode information in packets of equal importance that enable progressive recovery. The quality of recovered data improves as more and more packets become available. This progressive recovery of the information is independent of the order in which packets become available. Such representations are ideally suited for distributed storage and for the transmission of data packets over networks with unpredictable delays and or erasures. Several methods for holographic representations of signals and images have been proposed over the years and multiple description information theory also deals with such representations. Surprisingly, however, these methods had not been considered in the classical framework of optimal least-squares estimation theory, until very recently. We develop a least-squares approach to the design of holographic representation for stochastic data vectors, relying on the framework widely used in modeling signals and images.
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spelling ntu-10356/1385042023-02-28T19:52:22Z Holographic sensing Bruckstein, Alfred Marcel Ezerman, Martianus Frederic Fahreza, Adamas Aqsa Ling, San School of Physical and Mathematical Sciences Engineering::Computer science and engineering Science::Mathematics Cyclostationary Data Fusion Frame Holographic representations of data encode information in packets of equal importance that enable progressive recovery. The quality of recovered data improves as more and more packets become available. This progressive recovery of the information is independent of the order in which packets become available. Such representations are ideally suited for distributed storage and for the transmission of data packets over networks with unpredictable delays and or erasures. Several methods for holographic representations of signals and images have been proposed over the years and multiple description information theory also deals with such representations. Surprisingly, however, these methods had not been considered in the classical framework of optimal least-squares estimation theory, until very recently. We develop a least-squares approach to the design of holographic representation for stochastic data vectors, relying on the framework widely used in modeling signals and images. Accepted version 2020-05-07T10:06:28Z 2020-05-07T10:06:28Z 2020 Journal Article Bruckstein, A. M., Ezerman, M. F., Fahreza, A. A., & Ling, S. (2020). Holographic sensing. Applied and Computational Harmonic Analysis, 49(1), 296-315. doi: 10.1016/j.acha.2019.03.001 1063-5203 https://hdl.handle.net/10356/138504 10.1016/j.acha.2019.03.001 2-s2.0-85063096622 1 49 296 315 en Applied and Computational Harmonic Analysis https://doi.org/10.21979/N9/G2Z0KZ © 2020 Elsevier. All rights reserved. This paper was published in Applied and Computational Harmonic Analysis and is made available with permission of Elsevier. application/pdf
spellingShingle Engineering::Computer science and engineering
Science::Mathematics
Cyclostationary Data
Fusion Frame
Bruckstein, Alfred Marcel
Ezerman, Martianus Frederic
Fahreza, Adamas Aqsa
Ling, San
Holographic sensing
title Holographic sensing
title_full Holographic sensing
title_fullStr Holographic sensing
title_full_unstemmed Holographic sensing
title_short Holographic sensing
title_sort holographic sensing
topic Engineering::Computer science and engineering
Science::Mathematics
Cyclostationary Data
Fusion Frame
url https://hdl.handle.net/10356/138504
work_keys_str_mv AT brucksteinalfredmarcel holographicsensing
AT ezermanmartianusfrederic holographicsensing
AT fahrezaadamasaqsa holographicsensing
AT lingsan holographicsensing