into finite width time bins. To simulate a pulse, we then evaluate a photon function for the changing value of [$E_{\rm peak}$]{} in each of the time bins. In the following, we use the exponentially-attenuated cut-off power law form of Eq. \[comp\]. This simplifies the analysis for the reasons discussed above: excluding the possible evolution of $\beta$, which could lead to complications in the analysis. The photon function is converted to counts data by multiplication by a detector response matrix (DRM). For this to work, the energy bins of the photon function must match those of the specific DRM chosen. Different instruments will have different numbers of ‘input’ photon energy bins, as well as ‘output’ energy-loss bins on the counts side that match a specific instrument’s data types. For this study, we use GBM DRMs from a triggered burst that have 128 output energy bins, corresponding to the CSPEC or TTE data types [@Meegan]. The result is a realization of a single pulse that consists of a 2D set of numbers that represents count rates in time and energy.

To simulate the correct counts statistics of an observed burst, we first scale the rates to produce some desired peak intensity. 