Aiming at the existing statistical bias phenomenon and the limitation of the structure element selection of tra-ditional mathematical morphological filters, a multilevel structure element has been presented in this paper. The varia-ble step length method is adopted to construct a kind of multilevel generalized self -adaptive morphological filter, which will improve the filtering accuracy and reduce the restrictions on the structure element selection at the same time. The operation of the proposed filter will be more flexible. At last, the filter is introduced in the power signal de-noising, the background noise of which contains a variety of noise, and the simulation results verify the better filtering effect of multilevel generalized self-adaptive morphological filter on power signal denoising compared with the tradi-tional filter.%针对传统数学形态学滤波器存在的统计偏移现象和对结构元素选取的局限，提出了一种多级结构元素的改进方法，并采用变步长的方法构建了一种多级广义自适应形态学滤波器，在提高滤波精度的同时，降低了对结构元素选取的限制，并且该滤波器的使用更加灵活。最后，将该滤波器应用到含有多种噪声叠加的电力信号消噪中，通过算例仿真，验证了提出的多级广义自适应形态学滤波器相比于传统的数学形态学滤波器，在电力信号消噪中具有更好地滤波效果。
展开▼
