5 papers
Multi-Threshold Sampling: Local and Global Parameter Identifiability
Ao Qiu, Qingguo Xie
Multi-threshold (MT) sampling records threshold-crossing times for parameter estimation in applications including positron emission tomography, oil well logging, and photon-countin…
Multi-Threshold Sampling: Signal Space, Sampling Operators, and First Recorded Crossing-Time Distributions
Ao Qiu, Qingguo Xie
Multi-threshold (MT) sampling records crossing times at selected thresholds for parameter estimation and waveform reconstruction. We develop a mathematical framework that defines t…
A Nonuniform-Sampling Theory for Static Multi-Threshold Sampling
Ao Qiu, Qingguo Xie
Multi-Threshold (MT) sampling fixes voltage levels and records when a waveform crosses them. The resulting signal-generated event stream is governed not by a prescribed clock but b…
A Unified Analytical Framework for LYSO-SiPM Scintillation Pulse Dynamics
Ao Qiu, Qingguo Xie
Existing scintillation-detector models typically treat scintillation kinetics, optical transport, silicon photomultiplier (SiPM) response, and timing statistics separately, limitin…
Prior-Based Multi-Voltage Threshold Sampling as a Structured Inverse Problem
Ao Qiu, Qingguo Xie
Prior-based Multi-Voltage Threshold (MVT) sampling reconstructs pulse parameters from sparse threshold-crossing times rather than full waveforms, making parameter recovery inherent…