This article presents the enhancement of Legendre Optimum low pass filter (LPF) in terms of reusability and bandwidth, based on the programmable memristance of memristors. Two LPFs of the third order, operating in the MF and VHF range, and designed using the insertion loss method are presented.At 600 kHz and 110 MHz, two Knowm memristors working in the forward ion-conduction mode replace R s and R L in the filter circuit. Their conductance and therefore memristance is varied such that R off − R on decreases monotonically and∕R off − R on ∕ > 0. Results show a bandwidth enhancement of up to 540 at 600 kHz, and up to 100 at 110 MHz. A reusable, cost-effective, variable bandwidth filter is achieved from the original fixed bandwidth filter.

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This paper presents the enhancement of Legendre Optimum low pass filters in terms of reusability and bandwidth, based on the variable or programmable memristance of memristors. Two low pass filters, of third and fifth order, operating in the radio frequency range, and designed using the insertion loss method are presented. At 600 KHz and at 110 MHz, two MS memristor models, of the non-linear ion drift class is incorporated into the filter circuits in turn and their memristances varied such that R_off- R_on decreases monotonically and R_off- R_on>0. Results show a bandwidth enhancement of up to 100 KHz at 600 KHz, and up to 19MHz at 110MHz. This study also examines the effect of the simultaneous versus asynchronous variation of the memristance of the pair of memristors introduced into the filter circuits, as well as increase in filter order.