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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