Gaussian pulse shaping algorithm for dual exponential signals based on wavelet transform

Abstract

BackgroundThe Gaussian pulse shaping algorithm has the advantages of high signal-to-noise ratio and low ballistic deficit. Therefore, the radiation detector output signal is often shaped to a Gaussian waveform in the actual nuclear radiation measurement system even if the signal is more likely to be a dual exponential signal.PurposeThis study aims at gaussian pulse shaping algorithm for dual exponential nuclear signals based on wavelet transform.MethodsBased on the simulated nuclear pulse signal, the influence of the shaping parameters on the pulse shape and the filtering performance of the shaped pulse was investigated. A FAST-SDD detector was used to acquire the X-ray fluorescence signals emitted by a standard manganese sample. The measured nuclear signals were processed by Gaussian pulse shaping and trapezoidal pulse shaping algorithms respectively before generating energy spectrum. The performance of the two shaping algorithms on filtering and pile-up pulse separation were compared by using the full width at half maximum and the area of the 5.89 keV peak.Results & ConclusionThe comparison results show that the best energy resolutions corresponding to Gaussian and trapezoidal pulse shaping algorithms are achieved when the peaking time ranges from 3.2 μs to 6.4 μs, and the difference between two algorithms is less than 5 eV. Besides, the Gaussian pulse shaping algorithm performs better than trapezoidal pulse shaping algorithm on pile-up pulse separation with the same peaking times.

Keywords

• wavelet transform
• gaussian pulse shaping
• energy resolution
• pile-up pulse