Sparse signal recovery in a transform domain

• Main Author: Lebed, Evgeniy
• Format: Others
• Language: English
• Published: University of British Columbia 2009
• Subjects: Wavelets; Transforms; Sparsity
• Online Access: http://hdl.handle.net/2429/4171

The ability to efficiently and sparsely represent seismic data is becoming an increasingly important problem in geophysics. Over the last thirty years many transforms such as wavelets, curvelets, contourlets, surfacelets, shearlets, and many other types of ‘x-lets’ have been developed. Such transform were leveraged to resolve this issue of sparse representations. In this work we compare the properties of four of these commonly used transforms, namely the shift-invariant wavelets, complex wavelets, curvelets and surfacelets. We also explore the performance of these transforms for the problem of recovering seismic wavefields from incomplete measurements. === Science, Faculty of === Mathematics, Department of === Graduate