A system and method for detecting the occurrence of a gunshot are provided. The method may include receiving acoustic signals at a microphone indicative of a magnitude of the acoustic signal at a plurality of discrete frequencies, converting the acoustic signals to a digital signal and then employing a Goertzel algorithm based digital signal filter on the digital signal to produce Goertzel magnitudes at the plurality of discrete frequencies. The method subsequently determines if a maximum value of the digital signal is higher than a predefined threshold value. If the threshold value is exceeded, the method predicts if the Goertzel magnitudes at the plurality of discrete frequencies are indicative of a gunshot sound via gradient boosting; and, transmits a signal indicative of a gunshot occurrence after predicting if a possible gunshot event has occurred. A debouncer may also be utilized to suppress duplicative signals.