Français
5. Application example: denoising, inverse problem
It often happens (indeed, it's the most common situation) that signals acquired from physical measurements are corrupted by measurement noise and/or modified by a device response. In such cases, observations are of the form
where b is additive (unknown) noise and Φ is a transformation reflecting the measurement. Φ is often modeled by a linear operator. The denoising problem assumes that Φ is the identity, and we then seek to restore from observation y a signal as close as possible to x, making assumptions about noise b. In the inverse...
The Ultimate Scientific and Technical Reference
This article is included in
Mathematics
This offer includes:
Knowledge Base
Updated and enriched with articles validated by our scientific committees
Services
A set of exclusive tools to complement the resources
Practical Path
Operational and didactic, to guarantee the acquisition of transversal skills
Doc & Quiz
Interactive articles with quizzes, for constructive reading
Application example: denoising, inverse problem
A new point of view: the "parsimonious path".
Bibliography
Software tools
Peter Söndergaard. Ltfat, the linear time-frequency analysis toolbox (matlab/octave, freeware), 2009
The Mathworks. Matlab, 2009
Multiple authors. Mathtools.net,...
Websites
Rice University DSP group. Compressed sensing resources, 2009
http://www.dsp.ece.rice.edu/cs
Thomas Ströhmer. A first guided tour on the irregular sampling problem, 2000
http://www.math.ucdavis.edu/~strohmer/research/sampling/irsampl.html
...
The Ultimate Scientific and Technical Reference
