Causal equivalence of frames
| Title: | Causal equivalence of frames |
| Author: | Henderson, Troy Lee, IV |
| Abstract: | Frames have recently become popular in the area of applied mathematics known as digital signal processing. Frames offer a level of redundancy that bases do not provide. In a sub-area of signal processing known as data recovery, redundancy has become increasingly useful; therefore, so have frames. Just as orthonormal bases are desirable for numerical computations, Parseval frames provide similar properties as orthonormal bases while maintaining a desired level of redundancy. This dissertation will begin with a basic background on frames and will proceed to encapsulate my research as partial fulfillment of the requirements for the Ph.D. degree in Mathematics at Texas A&M University. More specifically, in this dissertation we investigate an apparently new concept we term causal equivalence of frames and techniques for transforming frames into Parseval frames in a way that generalizes the Classical Gram- Schmidt process for bases. Finally, we will compare and contrast these techniques. |
| Publisher: | Texas A&M University |
| Subject: |
Frames
Bases Gram-Schmidt |
| URI: | http://hdl.handle.net/1969.1/4392 |
| Date: | 2005-08 |
Citation
(2005).
Causal equivalence of frames.
Doctoral dissertation,
Texas A&M University.
Texas A&M University. Available electronically from
http : / /hdl .handle .net /1969 .1 /4392.
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| Files | Size | Format | View |
|---|---|---|---|
| etd-tamu-2005B-MATH-Henders.pdf | 393.7Kb |
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Electronic Theses, Dissertations, and Records of Study (2002-present) [10425]
Electronic Theses, Dissertations, and Records of Study Collection
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