A New Frequency Selective Weighted Pseudo-median Filter Algorithm
一种具有频率选择特性的加权伪中值滤波算法

The pseudo-median filter is a computationally efficient alternative to the median filter. This paper extends the definition of pseudo-median filter when the size of filter windows is even, and proposes the Negative Weighted Pseudo-Median Filter (NWPMF). The NWPM uses the Mallows’ theory of sample selection probability to design the weight coefficients according to the respective impulse response of FIR filter with the desired spectral response. Because the weight coefficients can be negative or positive, the NWPM is characteristic of the frequency selection. The simulation results show that the NWPM can reduce the computations and is superior on reserving fine details, removing impulsive noise and high frequency periodic noise.