Name
Abstract | ||
|---|---|---|
Besides basis expansions, frames representations play a key role in signal processing. We thus consider the problem of frame domain signal processing, which is more complex and challenging than transform domain processing. Examples of such processing abound, from overlap-add/save convolution, to frequency domain LMS, and frame magnitude reconstruction. We develop a unified view of all these situations by using a common Hilbert space view of the problem, and consider algorithms in this common framework. In addition to a synthetic view of multiple signal processing methods in frames, we derive several original results. This include a direct solution to spectral modification (which usually uses an iterative algorithm) and a unicity condition for reconstruction from frame coefficient magnitudes. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/ICASSP.2010.5495739 | 2010 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING |
Keywords | Field | DocType |
frames, orthogonal projection, spectral modification, short-time Fourier transform | Frequency domain,Iterative reconstruction,Signal processing,Mathematical optimization,Multidimensional signal processing,Convolution,Iterative method,Computer science,Fourier transform,Signal reconstruction | Conference |
ISSN | Citations | PageRank |
1520-6149 | 1 | 0.43 |
References | Authors | |
4 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. Chebira | 1 | 179 | 14.16 |
| Matthew Fickus | 2 | 99 | 12.84 |
| Martin Vetterli | 3 | 13926 | 2397.68 |