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Computer simulation of the electronic noise of solid-state detectors

In this paper we propose a mathematical procedure to computer simulate the electronic noise of ionizing-radiation spectrometers as observed at the output of the preamplifier or of the anti-aliasing filter, just in front of the ADC. Examples are given for the case of segmented HPGe (High Purity Germanium) detectors. The method makes use of the fractional calculus basics. A software procedure provides the noisy waveform as a function of the fundamental electrical-physical parameters of the system, including: detector capacitance, detector leakage current, feedback resistor, 1/f-noise coefficient of the input transistor, temperature of the preamplifier input devices.