Alexandria Engineering Journal ( IF 2.460 ) Pub Date : 2020-09-14 , DOI: 10.1016/j.aej.2020.08.049
Kang-jia Wang; Cui-ling Li

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.

down
wechat
bug