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相对于中值滤波而言,伪中值滤波具有计算快速等特点。通过引入负加权系数并使滤波窗口大小无奇偶限制,该文将原有的伪中值滤波扩展为具有负系数的加权伪中值滤波。基于Mallows样本选择概率理论,由FIR滤波器的脉冲响应来获得伪中值滤波器加权系数,使其具有和FIR滤波器一样的频率选择特性。仿真结果表明,本文提出的滤波方法在赋予了伪中值滤波频率选择特性的基础上,减小了计算量,保持了中值滤波所具有的优点,并且能够去除信号中高频的周期性干扰噪声。
Compared with the median filter, the pseudo-median filter has the characteristics of fast calculation. By introducing negative weighting coefficients and making the size of the filter window have no parity, this paper extends the original pseudo-median filter to a weighted pseudo-median filter with negative coefficients. Based on the Mallows sample selection probability theory, the impulse response of the FIR filter is used to obtain the weighted coefficient of the pseudo-median filter so that it has the same frequency selection characteristics as the FIR filter. The simulation results show that the proposed filtering method can reduce the amount of computation and maintain the advantages of median filtering based on the given frequency selection characteristics of pseudo-median filtering, and can remove the high-frequency periodic interference noise .