Frequency-based pulse shape analysis for optimal digitization and discrimination

Abstract EN

This paper introduces a mathematical analysis of scintillation pulses based on their frequency magnitude squares spectrum in order to determine the most discriminated frequency band of two different pulse-types spectrums.

The proposed analysis showed that the most discriminated frequency band depends on the two decay-constant values of the pulse-types.

Based on this analysis, a digitization criterion is proposed to determine the optimum sampling rate, number of used samples and the anti-aliasing filtering requirements.

Therefore, the sampling rate, the number of samples and the cutoff of the anti-aliasing filter can be optimally selected to reduce the discrimination complexity.

Moreover, determining the most discriminated frequency band reduces the number of needed frequency components and provides the highest discrimination performance with the lowest number of required computations.

The proposed digitization criterion is applied on two pulse-types with different decay-time constants (1 = 20 and 2 = 40 ns) and shows that the most discriminated frequency component is ?.??? ??? and one of optimum digitization selections is sampling rate of 24 MHz, 8-samples, and anti-aliasing filter with 8 MHz cutoff frequency.