  Using a random temporal signal for sample excitation (RATS method) is a new,
efficient approach to measuring photoluminescence (PL) dynamics. The method can
be used in single-point measurement (0D), but also it can be converted to PL
decay imaging (2D) using a single-pixel camera configuration. In both cases,
the reconstruction of the PL decay and PL snapshot is affected by ubiquitous
noise. This article provides a detailed analysis of the noise effect on the
RATS method and possible strategies for its elimination. We carried out an
extensive set of simulations focusing on the effect of noise introduced through
the random excitation signal and the corresponding PL waveform. We show that
the PL signal noise level is critical for the method. Furthermore, we analyze
the role of acquisition time, where we demonstrate the need for a non-periodic
excitation signal. We show that it is beneficial to increase the acquisition
time while increasing the number of measurements in the single-pixel camera
configuration has a minimal effect above a certain threshold. Finally, we study
the effect of a regularization parameter used in the deconvolution step, and we
observe that there is an optimum value set by the noise present in the PL
dataset. Our results provide a guideline for optimization of the RATS
measurement, but also study effects generally occurring in PL decay
measurements methods relying on the deconvolution step.
