This paper traces the history of the evolution of inverse analog filters (IAF) and presents a
review of the progress made in this area to date. The paper, thus, presents the current state …

Non-integer order filters can be derived from a generalized structure presented in this work.
More specifically, fractional-order and power-law filters of single-or double-order are special …

The equivalence of fractional-order inverse filters with fractional-order controllers is
demonstrated in this work. This is achieved by appropriately rewriting the filters transfer …

In this paper, three novel fractional-order CFOA-based inverse filters are introduced. The
inverse low-pass, high-pass and band-pass responses are investigated using different …

This paper presents the optimal modeling of Power Law Filters (PLFs) with the low-pass
(LP), high-pass (HP), band-pass (BP), and band-stop (BS) responses by means of rational …

First‐order low pass and high pass inverse filter topologies, offering simplicity and
independent adjustment of the gain and the characteristic frequency, are introduced in this …

To implement an approximation of the fractional order Laplacian operator s α as a weighted
sum of high pass filter sections, it is essential to extract the cutoff frequencies and filter gains …

In this work, the analysis of negative group delay circuits in fractional domain has been
conducted. The low pass and the high pass negative group delay circuits constructed based …

This paper proposes a further generalization of the fractional-order filters whose limiting form
is that of the second-order filter. This new filter class can also be regarded as a superset of …

This paper discusses the analysis of inverse fractional-order band-pass and band-stop filter
in frequency domain. The control models of the proposed fractional-order filters are …