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
Signal processing and its applications
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
