Abstract
The nanoscale size and controllable memristance of Memristor (MR) have shown evident superiorities for structuring new integrated circuits with different functions. With regards to the reported MR based filters, their cut-off frequencies could be hardly hot-line controlled on purposes. In this paper, by using the boundary values of memristance, a method for hot-line adjusting cut-off frequencies is newly proposed by inputting a preset DC voltage together with the to-be-filtered signal, without the requirement of extra memristance write circuits, which is hence beneficial for integrated implementation. The floating MR emulator is firstly presented and the saturation operation of its memristance is interpreted. A family of MR based low-pass filters with controllable cut-off frequency are proposed by combining the connection nodes of a memristive circuit network Z with the op amp. Two circuits of the low-pass filter family are chosen for demonstration, and the cut-off frequency and passband gain are calculated. Square and sinusoidal voltage signals are used to test the performance of the proposed low-pass filter family. Both the simulation and experimental results show that the proposed filters can achieve cut-off frequency adjustment with good filtering performance.
Highlights
The MR was envisioned by professor L.O
In similarity, when RM reaches Ron, the frequency is changed from 0.2 kHz to 0.7kHz, and the amplitude attenuation of the high frequency is increased. These results show that the signals with the frequency greater than the cut-off frequency can be attenuated by the low-pass filter
The black curve is the scenario when the memristance is Ron, and the red curve corresponds to the case when the memristance is Roff. It can be seen from the figure that the cut-off frequency of topology A in the Bode plot is consistent with the calculation result. These results show that the proposed MR based low-pass filters could offer good filtering performance with controllable cut-off frequency by inputting a DC control voltage
Summary
The MR was envisioned by professor L.O. Chua as a two-terminal electrical element in 1971 and physically fabricated by HP Lab in 2008 [1], [2]. MR emulators implemented by the hardware circuits are reported for experimental investigations, based on the electronic devices with controllable resistance, such as light dependent diodes and resistors [15], junction field effect transistors [16], programmable potentiometers [17], etc. By utilizing the MR with binary operation to replace one of the resistors inside a RC network, a family of low-pass filters with controllable cut-off frequency is newly proposed and investigated. From those earlier reported MR-based filters, the cut-off frequency can be controlled between two values by only inputting a DC control voltage together with the signal to be filtered. Two filter circuits of this low-pass family are selected for comprehensive study, and both simulation and experimental results are given for validation
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