An arc fault circuit interrupter includes separable contacts, an operating mechanism and an arc fault detector structured to detect an arc fault condition operatively associated with the contacts. The arc fault detector includes a tuned current sensor structured to sense broadband noise of a current flowing through the contacts, a compression circuit including an input of the sensed broadband noise and an output. The compression circuit compresses the dynamic range of the sensed broadband noise. A minimum detector includes an input of the compression circuit output and an output of the minimum value of the minimum detector input. A processor includes a number of inputs and an output. One of the inputs is the output of the minimum value of the minimum detector. A trip mechanism cooperates with the output of the processor and the operating mechanism to trip open the contacts responsive to the detected arc fault condition.