Vector median filters for complex signal

The authors introduce vector median-type (VM) filters for complex narrowband signals and investigate basic properties of the VM operation. They present and analyze the root structures of the filters. Sinusoidal signals modulated by root signals of standard median filters are shown to be root signals of VM filters. For actual implementation, the authors use vector FIR (finite impulse response)-median hybrid (VFMH) filters. They show that these filters preserve abrupt changes in amplitude and phase. The filters are shown to remove impulsive and Gaussian noise effectively. Examples are given of VM and VFMH performance for complex signals