An approximate method for linear signal decomposition in γγ-ray tracking detectors

An approximate method for signal decomposition in γγ-ray tracking detectors is presented, based on Singular Value Decomposition (SVD). With this algorithm, the CPU time scales linearly with the number of possible interaction sites for any number of interactions per γγ ray. The method is also robust to uncertainty in the signal start time and is applicable to any γγ-ray detectors with highly segmented crystals as well as any inverse problem that can be reduced to a search among a countable set of precalculated forward solutions.