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

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
Creator
Subject
Genre
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
Member of
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
Instantiates
Publication
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
Publication
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

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