In the study of Sampling Theory, the Nyquist-Shannon sampling theorem, proved in the first half of the 20th century, showed that a bandwidth limited signal could be exactly reconstructed when sampled at an appropriate rate. This is the basis for digital representation of audio files (CDs), since human hearing is bandwidth limited. Dr. Stephen Casey proved in his recent research that such a signal, sampled at multiple specifically chosen incommensurate rates, can also be exactly reconstructed. This research takes his theorem and applies it to a regularly sampled audio signal to construct new data sets, sampled at incommensurate rates. The signal can be reconstructed from one or more of these sets, with quality increasing as more data sets are included. Each data set can buffer individually when streamed over a broadband connection. Thus, when bandwidth changes the audio player can add or drop a data set without having to completely re-buffer.
|School Location:||United States -- District of Columbia|
|Source:||MAI 48/05M, Masters Abstracts International|
|Subjects:||Applied Mathematics, Acoustics|
Copyright in each Dissertation and Thesis is retained by the author. All Rights Reserved
The supplemental file or files you are about to download were provided to ProQuest by the author as part of a
dissertation or thesis. The supplemental files are provided "AS IS" without warranty. ProQuest is not responsible for the
content, format or impact on the supplemental file(s) on our system. in some cases, the file type may be unknown or
may be a .exe file. We recommend caution as you open such files.
Copyright of the original materials contained in the supplemental file is retained by the author and your access to the
supplemental files is subject to the ProQuest Terms and Conditions of use.
Depending on the size of the file(s) you are downloading, the system may take some time to download them. Please be