A system for detecting randomly occurring signals, particularly signals representative of a fire condition, having a radiation detector for receiving the signals, peak detector circuits for identifying the peak values of the received signals, peak duration signals for determining the time between adjacent peak signals, and a collection buffer for accumulating values representative of successive peak durations. The peak duration times are compared and evaluated to determine whether regularly occurring patterns of the received signals exist, or whether the received signals are randomly occurring, and an output signal is generated whenever the comparison indicates that the received signals are random in nature.