1. A method for processing a source signal to detect anomalies, the method comprising: receiving, by a processor, a measurement vector of compressive measurements, the measurement vector being derived by applying a sensing matrix to the source signal, the sensing matrix being derived from a frequency domain transform; generating, by the processor, at least one first feature vector from the measurement vector, the first feature vector being an estimate of a second feature vector, the second feature vector corresponding to a translation of the source signal; and detecting, by the processor, an anomaly in the source signal based on the first feature vector.