The Fractional Sallen-Key Filter Described by Local Fractional Derivative

The local fractional derivative (LFD) has attracted wide attention in the field of engineering application. In this paper, the LFD is used to model the fractional Sallen-Key filter for the first time. The non-differentiable(ND) transfer function is obtained by using the local fractional Laplace transform(LFLT). And the amplitude frequency response is analyzed in detail for different fractional order
$\varsigma $
. It is found that the fractional Sallen-Key filter becomes the ordinary one in the special case
$\varsigma =1$
. The obtained results of this paper show the powerful ability of local fractional calculus in the analysis of complex problems arising in engineering fields.