Essential limitations to signal detection and estimation: An application to the arctic under ice environmental noise problem

A method to remove narrow-band interference in the frequency domain is considered. It consists of first transforming the data into the frequency domain by an FFT, passing the transformed data through an ideal nonlinearity, and then transforming the data back into the time domain by an IFFT. The essential mathematical details of the method are given and an error criterion is defined which measures the effectiveness of the technique.