Filtering of randomly occurring signals by kurtosis in the frequency domain

The paper describes a nonlinear operator, based on frequency domain Kurtosis (FDK), that is able to distinguish between transients (impulses and unsteady harmonic components) and stationary sinusoidal signals in background Gaussian noise. For problems involving signal detection in burst noise, filtering by an FDK operator may improve detection results by reducing noise variance and amplifying narrow-band transient signals. To evaluate the FDK operator´s efficiency, different processes are considered: impulsive noise and narrow-band interferences in background Gaussian noise and real electromagnetic non-Gaussian noise. The filter robustness is discussed