Unknown transient detection using wavelets
Patricia H. Carter · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1994
We evaluate via numerical simulation the performance of a detection algorithm applicable to unknown transients in acoustic signals. This is a filter-then-detect scheme in which the filtering is accomplished by thresholding in the wavelet domain. The incoming time series is separated into 'signal' and 'noise' in the wavelet transform domain. The set of coefficients representing the 'signal' is inverse-transformed back to the time domain. An energy threshold is applied to the recovered signal time series. The performance of the wavelet filtering as a part of the detection process is determined by constructing the receiver-operating-characteristic curve, which displays the dependence of the probability of detection on the probability of false alarm as functions of an energy threshold.