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I'M BEING FRAMED: PHASE RETRIEVAL AND FRAME DILATION IN FINITE-DIMENSIONAL REAL HILBERT SPACES
| Title: | I'M BEING FRAMED: PHASE RETRIEVAL AND FRAME DILATION IN FINITE-DIMENSIONAL REAL HILBERT SPACES. |
 33 views 19 downloads |
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| Name(s): |
Greuling, Jason L, Author Han, Deguang, Committee Chair University of Central Florida, Degree Grantor |
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| Type of Resource: | text | |
| Date Issued: | 2018 | |
| Publisher: | University of Central Florida | |
| Language(s): | English | |
| Abstract/Description: | Research has shown that a frame for an n-dimensional real Hilbert space offers phase retrieval if and only if it has the complement property. There is a geometric characterization of general frames, the Han-Larson-Naimark Dilation Theorem, which gives us the necessary and suffcient conditions required to dilate a frame for an n-dimensional Hilbert space to a frame for a Hilbert space of higher dimension k. However, a frame having the complement property in an n-dimensional real Hilbert space does not ensure that its dilation will offer phase retrieval. In this thesis, we will explore and provide what necessary and suffcient conditions must be satisfed to dilate a phase retrieval frame for an n-dimensional real Hilbert space to a phase retrieval frame for a k-dimensional real Hilbert. | |
| Identifier: | CFH2000319 (IID), ucf:45868 (fedora) | |
| Note(s): |
2018-05-01 B.S. College of Sciences, Mathematics Bachelors This record was generated from author submitted information. |
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| Subject(s): |
Hilbert spaces phase retrieval frame dilation signal recovery frames Dilation Theory |
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| Persistent Link to This Record: | http://purl.flvc.org/ucf/fd/CFH2000319 | |
| Restrictions on Access: | public | |
| Host Institution: | UCF |
