As an important electronic device, filter is applied to all kinds of electronic products. In this paper, a new $\wp$-order R-L High-pass filter (HPF) modeled by the local fractional derivative (LFD) is proposed for the first time. With the help of the local fractional Laplace transform (LFLT), we obtain the non-differentiable(ND) transfer function, and present the expressions of ND amplitude-frequency characteristic (AFC) and ND phase-frequency characteristics (PFC). The corresponding parameters and properties of the $\wp$-order R-L HPF are also studied. What’s interesting is that the $\wp$-order R-L HPF becomesthe ordinary one in the exceptional case at $\wp$ = 1. The obtained results in this paper reveal the sufficiency of the local fractional derivative for analyzing the circuit systems in fractal space.

过滤器作为一种重要的电子设备，已广泛应用于各种电子产品。在本文中，$\wp$首次提出了由局部分数导数（LFD）建模的RL高通滤波器（HPF）。借助于局部分数阶拉普拉斯变换（LFLT），我们获得了不可微（ND）传递函数，并给出了ND幅频特性（AFC）和ND相频特性（PFC）的表达式。对应的参数和属性$\wp$还研究了有序RL HPF。有趣的是$\wp$在特殊情况下，有序RL HPF成为普通的 $\wp$ = 1.本文获得的结果表明，局部分数阶导数足以分析分形空间中的电路系统。