Introduction Models Conclusion
Pulse separation characteristic based on their
approximation
Jevicky J., Mravec F., Matej Z., Prenosil V
Brno, 2013
Jevicky J. et al. Pulse separation 2013, Brno 1 / 9
Introduction Models Conclusion
Motivation
Impulses from detector
Matematical model
Digital spectrometric detection
Jevicky J. et al. Pulse separation 2013, Brno 2 / 9
Introduction Models Conclusion
Mathematical model
φ(t) = n
k=0 cf Pk; t = 0, 1, ..N
P0(t) = 1
P1(t) = 1 − 2 t
N
Pk(t) = 2(2k−1)
k(N−k+1) (N
2 − t)Pk−1(t) − (k−1)(N+k)
k(n−K+1) Pk−2(t)
k = 2, 3, ...n
Jevicky J. et al. Pulse separation 2013, Brno 3 / 9
Introduction Models Conclusion
Coeficient c0
C = c0
Jevicky J. et al. Pulse separation 2013, Brno 4 / 9
Introduction Models Conclusion
Coeficient c0 and c2
C = 10(c0 − c2)
Jevicky J. et al. Pulse separation 2013, Brno 5 / 9
Introduction Models Conclusion
Leading edge app. integral and maxima app. of the pulse
C1 = 1
φmax
tkon
tφmax
φ(t)dt
Jevicky J. et al. Pulse separation 2013, Brno 6 / 9
Introduction Models Conclusion
Itegral from app. of the leading edge
C1 = tkon
tφmax
φ(t)dt
Jevicky J. et al. Pulse separation 2013, Brno 7 / 9
Introduction Models Conclusion
Conclusion
Usefull for FPGA
ON-LINE separation
Jevicky J. et al. Pulse separation 2013, Brno 8 / 9
Introduction Models Conclusion
Thank you for your attention
Jevicky J. et al. Pulse separation 2013, Brno 9 / 9