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Deconvolution of pulse trains with the L 0 penalty
- Source :
-
Analytica Chimica Acta . Oct2011, Vol. 705 Issue 1/2, p218-226. 9p. - Publication Year :
- 2011
-
Abstract
- Abstract: The output of many instruments can be modeled as a convolution of an impulse response and a series of sharp spikes. Deconvolution considers the inverse problem: estimate the input spike train from an observed (noisy) output signal. We approach this task as a linear inverse problem, solved using penalized regression. We propose the use of an L 0 penalty and compare it with the more common L 2 and L 1 penalties. In all cases a simple and iterative weighted regression procedure can be used. The model is extended with a smooth component to handle drifting baselines. Application to three different data sets shows excellent results. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00032670
- Volume :
- 705
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- Analytica Chimica Acta
- Publication Type :
- Academic Journal
- Accession number :
- 66232549
- Full Text :
- https://doi.org/10.1016/j.aca.2011.05.030