A new category of fractional-order filters, realized without employing a fractional-order Laplacian operator, is introduced in this work. This can be achieved through the utilization of an efficient curve fitting method which approximates the frequency-domain behavior of the filter and transposes the fractional-order transfer function into the integer-order domain. Thus, the procedure results in a rational integer-order transfer function and its implementation is possible using conventional integer-order filtering techniques. Therefore, there is no need for fractional-order elements to realize this class of filters. Design examples of this new kind of filters are presented with the derived simulation and experimental results confirming their efficient performance.

在这项工作中，引入了一种新的分数阶滤波器，无需使用分数阶拉普拉斯算子即可实现。这可以通过利用有效的曲线拟合方法来实现，该方法可以近似滤波器的频域行为，并将分数阶传递函数转置为整数阶域。因此，该过程导致有理数的整数阶传递函数，并且使用常规的整数阶滤波技术可以实现该过程。因此，不需要分数阶元素来实现此类滤波器。给出了这种新型滤波器的设计实例，并给出了推导的仿真和实验结果，证实了其有效的性能。