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Compressive Sensing of Signals Generated in Plastic Scintillators in a Novel J-PET Instrument | | L. Raczynski
; P. Moskal
; P. Kowalski
; W. Wislicki
; T. Bednarski
; P. Bialas
; E. Czerwinski
; A. Gajos
; L. Kaplon
; A. Kochanowski
; G. Korcyl
; J. Kowal
; T. Kozik
; W. Krzemien
; E. Kubicz
; Sz. Niedzwiecki
; M. Palka
; Z. Rudy
; O. Rundel
; P. Salabura
; N.G. Sharma
; M. Silarski
; A. S lomski
; J. Smyrski
; A. Strzelecki
; A. Wieczorek
; M. Zielinski
; N. Zon
; | | Date: |
17 Mar 2015 | | Abstract: | The J-PET scanner, which allows for single bed imaging of the whole human
body, is currently under development at the Jagiellonian University. The dis-
cussed detector offers improvement of the Time of Flight (TOF) resolution due
to the use of fast plastic scintillators and dedicated electronics allowing for
sam- pling in the voltage domain of signals with durations of few nanoseconds.
In this paper we show that recovery of the whole signal, based on only a few
samples, is possible. In order to do that, we incorporate the training signals
into the Tikhonov regularization framework and we perform the Principal
Component Analysis decomposition, which is well known for its compaction
properties. The method yields a simple closed form analytical solution that
does not require iter- ative processing. Moreover, from the Bayes theory the
properties of regularized solution, especially its covariance matrix, may be
easily derived. This is the key to introduce and prove the formula for
calculations of the signal recovery error. In this paper we show that an
average recovery error is approximately inversely proportional to the number of
acquired samples. | | Source: | arXiv, 1503.5188 | | Services: | Forum | Review | PDF | Favorites | |
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