Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/33391
Title: Time-Frequency-Scale Transforms
Authors: ZHAN YANJUN
Keywords: time-frequency-scale, frames, modulation, wavelets, continuous wavelet transform, non-stationary frames
Issue Date: 19-Jan-2012
Source: ZHAN YANJUN (2012-01-19). Time-Frequency-Scale Transforms. ScholarBank@NUS Repository.
Abstract: In this thesis, we will recall some familiar definitions regarding the Continuous Wavelet Transform and the reconstruction of signals. We shall talk about exploring how the transform evolves as we go from continuous dilation and translation parameter to the semi-discrete scenario, and finally to the fully discrete world of frames and frame operators. From here, we then evaluate how we can construct frames generated by mother wavelets through modifying a result of Ole Christensen. We shall discover how to include families of modulated wavelets in the arguments to come up with new ways of constructing frames. Interestingly, we can also derive certain well-known results already in literature about Gabor Analysis by choosing the choice of our family of functions wisely.
URI: http://scholarbank.nus.edu.sg/handle/10635/33391
Appears in Collections:Master's Theses (Open)

Show full item record
Files in This Item:
File Description SizeFormatAccess SettingsVersion 
ZhanYJ.pdf308.71 kBAdobe PDF

OPEN

NoneView/Download

Page view(s)

185
checked on Dec 11, 2017

Download(s)

196
checked on Dec 11, 2017

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.