A new physics-based method for detecting weak nuclear signals via spectral decomposition

摘要: Abstract We propose a new physics-based method to determine the presence of spectral signature one or more nuclides from poorly resolved spectra with weak signatures. The is different traditional methods that rely primarily on peak finding algorithms. approach considers each signatures in library be linear combination subspectra. These subspectra are obtained by assuming consisting just unique gamma rays emitted nuclei. Poisson regression model for deducing which nuclei present observed spectrum. In recognition radiation source generally comprises few nuclear materials, underlying sparse, i.e. most coefficients zero (positive correspond materials). develop an iterative algorithm penalized likelihood estimation prompts sparsity. illustrate efficacy proposed simulations using variety resolved, low signal-to-noise ratio (SNR) situations, show enjoys excellent empirical performance even SNR as −15 db.