The Resource Recover Data in Sparse Expansion Forms Modeled by Special Basis Functions, Abdulmtalb Mohamed A.A. Hussen
Recover Data in Sparse Expansion Forms Modeled by Special Basis Functions, Abdulmtalb Mohamed A.A. Hussen
Resource Information
The item Recover Data in Sparse Expansion Forms Modeled by Special Basis Functions, Abdulmtalb Mohamed A.A. Hussen represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri-St. Louis Libraries.This item is available to borrow from all library branches.
Resource Information
The item Recover Data in Sparse Expansion Forms Modeled by Special Basis Functions, Abdulmtalb Mohamed A.A. Hussen represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri-St. Louis Libraries.
This item is available to borrow from all library branches.
- Summary
- In data analysis and signal processing, the recovery of structured functions (in terms of frequencies and coefficients) with respect to certain basis functions from the given sampling values is a fundamental problem. The original Prony method is the main tool to solve this problem, which requires the equispaced sampling values. In this dissertation, we use the equispaced sampling values in the frequency domain after the short time Fourier transform in order to reconstruct some signal expansions, such as the exponential expansions and the cosine expansions. In particular, we consider the case that the phase of the cosine expansion is quadratic. Moreover, we work on the expansion problem based on the eigenfunctions of some linear operators. In addition, when the signals contain two different models, we develop a method that separate the signals in single-models and then solve the problem. We also consider the situation that when some of the sampling values are corrupted
- Language
- eng
- Extent
- 1 online resource (101 pages)
- Note
- Title from title page of PDF (University of Missouri--St. Louis, viewed April 2, 2020)
- Label
- Recover Data in Sparse Expansion Forms Modeled by Special Basis Functions
- Title
- Recover Data in Sparse Expansion Forms Modeled by Special Basis Functions
- Statement of responsibility
- Abdulmtalb Mohamed A.A. Hussen
- Language
- eng
- Summary
- In data analysis and signal processing, the recovery of structured functions (in terms of frequencies and coefficients) with respect to certain basis functions from the given sampling values is a fundamental problem. The original Prony method is the main tool to solve this problem, which requires the equispaced sampling values. In this dissertation, we use the equispaced sampling values in the frequency domain after the short time Fourier transform in order to reconstruct some signal expansions, such as the exponential expansions and the cosine expansions. In particular, we consider the case that the phase of the cosine expansion is quadratic. Moreover, we work on the expansion problem based on the eigenfunctions of some linear operators. In addition, when the signals contain two different models, we develop a method that separate the signals in single-models and then solve the problem. We also consider the situation that when some of the sampling values are corrupted
- Cataloging source
- UMS
- http://library.link/vocab/creatorName
- Hussen, Abdulmtalb Mohamed A.A
- Degree
- Ph.D.
- Dissertation year
- 2019
- Granting institution
- University of Missouri--St. Louis
- Illustrations
- illustrations
- Index
- no index present
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- theses
- http://library.link/vocab/subjectName
-
- Sparse matrices
- BASIS (Information retrieval system)
- Exponential sums
- Eigenfunctions
- Eigenvalues
- Fourier transformations
- Sylvester equations
- Label
- Recover Data in Sparse Expansion Forms Modeled by Special Basis Functions, Abdulmtalb Mohamed A.A. Hussen
- Note
- Title from title page of PDF (University of Missouri--St. Louis, viewed April 2, 2020)
- Bibliography note
- Includes bibliographical references (pages 99-101)
- Carrier category
- online resource
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type MARC source
- rdacontent
- Control code
- 1148173142
- Extent
- 1 online resource (101 pages)
- Form of item
- online
- Media category
- computer
- Media MARC source
- rdamedia
- Other physical details
- illustrations
- Specific material designation
- remote
- System control number
- (OCoLC)1148173142
- Label
- Recover Data in Sparse Expansion Forms Modeled by Special Basis Functions, Abdulmtalb Mohamed A.A. Hussen
- Note
- Title from title page of PDF (University of Missouri--St. Louis, viewed April 2, 2020)
- Bibliography note
- Includes bibliographical references (pages 99-101)
- Carrier category
- online resource
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type MARC source
- rdacontent
- Control code
- 1148173142
- Extent
- 1 online resource (101 pages)
- Form of item
- online
- Media category
- computer
- Media MARC source
- rdamedia
- Other physical details
- illustrations
- Specific material designation
- remote
- System control number
- (OCoLC)1148173142
Library Locations
-
St. Louis Mercantile LibraryBorrow it1 University Blvd, St. Louis, MO, 63121, US38.710138 -90.311107
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University of Missouri-St. Louis Libraries DepositoryBorrow it2908 Lemone Blvd, Columbia, MO, 65201, US38.919360 -92.291620
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.umsl.edu/portal/Recover-Data-in-Sparse-Expansion-Forms-Modeled-by/shyi2NJoze8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.umsl.edu/portal/Recover-Data-in-Sparse-Expansion-Forms-Modeled-by/shyi2NJoze8/">Recover Data in Sparse Expansion Forms Modeled by Special Basis Functions, Abdulmtalb Mohamed A.A. Hussen</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.umsl.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.umsl.edu/">University of Missouri-St. Louis Libraries</a></span></span></span></span></div>
