Memristor-based Optimum Legendre Low-Pass Filter

Abstract

The paper suggests enhanced versions of an Optimum Legendre (L) low-pass filter obtained by adding memristive devices to the original circuit. The main aim is to observe the effects of connecting memristors of MS model to the passive components of Legendre filter. The results have been obtained by making simulations in LTspice software, which provide the information about magnitude frequency response, group delay and phase of the original and proposed models. One of memristive models has been implemented by connecting three memristors to the last three elements of a five-pole L filter. The second proposed model was constructed by inserting memristors after second and fifth components of the original circuit. Consequently, the ripple factor has been reduced and group delay variation has been narrowed. Also cutoff has been sharpened, phase response and transition have become smoother. These outcomes demonstrate that memristors introduced significant enhancement to the Optimum Legendre Low-Pass Filter and can find its applicability in analog and microwave circuit design.