Study of digital Gaussian shaping for a semiconductor X-ray detector in real time

A novel algorithm of digital Gaussian shaping for a semiconductor X-ray detector in real time is presented in this paper in details. The algorithm is established between the input signal and the output signal basing on Sallen-Key filter and Kirchhoff Current Law. And it is a second order non-homogeneous differential equation. Then a general numerical recursive root is obtained by applying numerical differentiation method. And digital Gaussian filtering of a standard exponential-decaying signal and a nuclear pulse signal are implemented as well. Lastly, depending on software simulation, the shaping operators are confirmed. Preliminary experimental tests show potential advantages of using these techniques in energy dispersive X-ray fluorescence system.