Abstract: A method of determining a spectrum of energies of individual quanta of radiation received in a radiation detector is disclosed. Spectrum sensitive statistics are computed from a time series of digital observations from the radiation detector, defining a mapping from a density of amplitudes of the pulses to the spectrum sensitive statistics. The spectrum is determined by estimating the density of amplitudes of the pulses by applying an inversion of the mapping to the spectrum sensitive statistics. The statistics may be based on a first set of nonoverlapping time intervals of constant length L at least as long as a duration of the pulses without regard to entirety of clusters of the pulses; and a second set of nonoverlapping time intervals of constant length L1 less than L also without regard to entirety of clusters of the pulses. A method of estimating count rate is also disclosed.

Abstract: A method of determining a spectrum of energies of individual quanta of radiation received in a radiation detector is disclosed. Spectrum sensitive statistics are computed from a time series of digital observations from the radiation detector, defining a mapping from a density of amplitudes of the pulses to the spectrum sensitive statistics. The spectrum is determined by estimating the density of amplitudes of the pulses by applying an inversion of the mapping to the spectrum sensitive statistics. The statistics may be based on a first set of nonoverlapping time intervals of constant length L at least as long as a duration of the pulses without regard to entirety of clusters of the pulses; and a second set of nonoverlapping time intervals of constant length L1 less than L also without regard to entirety of clusters of the pulses. A method of estimating count rate is also disclosed.