Sparse Representation for Signal Reconstruction in Calorimeters Operating in High Luminosity

Sparse Representation for Signal Reconstruction in Calorimeters Operating in High Luminosity

A calorimeter signal reconstruction method, based on sparse representation (SR) of redundant data, is proposed for energy reconstruction in particle colliders operating in high-luminosity conditions. The signal overlapping is first modeled as an underdetermined linear system, leading to a convex set...

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Bibliographic Details
Published in:IEEE transactions on nuclear science Vol. 64; no. 7; pp. 1942 - 1949
Main Authors: Barbosa, Davis P., De A Filho, Luciano M., Peralva, Bernardo S., Cerqueira, Augusto S., de Seixas, Jose M.
Format: Journal Article
Language:English
Published: New York IEEE 01-07-2017
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Amplitude estimation
calorimetry
Computer simulation
Covariance matrices
Data processing
Deconvolution
high-luminosity colliders
Linear programming
Luminosity
Minimization
Monte Carlo simulation
optimal filters (OFs)
Optimization
Particle accelerators
Signal generation
Signal processing
Signal reconstruction
Simulation
sparse representation (SR)
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Description
Summary:A calorimeter signal reconstruction method, based on sparse representation (SR) of redundant data, is proposed for energy reconstruction in particle colliders operating in high-luminosity conditions. The signal overlapping is first modeled as an underdetermined linear system, leading to a convex set of feasible solutions. The solution with the smallest number of superimposed signals (the SR) that represents the recorded data is obtained through the use of an interior-point (IP) optimization procedure. From a signal processing point-of-view, the procedure performs a source separation, where the information of the amplitude of each convoluted signal is obtained. In the simulation results, a comparison of the proposed method with standard signal reconstruction one was performed. For this, a toy Monte Carlo simulation was developed, focusing in calorimeter front-end signal generation only, where the different levels of pileup and signal-to-noise ratio were used to qualify the proposed method. The results show that the method may be competitive in high-luminosity environments.
ISSN:0018-9499
1558-1578
DOI:10.1109/TNS.2017.2712420