Investigation of the effects of different memristör emulators on electronic circuits

The memristör element, which is defined as the abbreviation of MEMory ResISTOR, has taken its place in the literature as the fourth passive circuit element after resistance, capacitor and inductor. The necessity of the existence of such a passive element was theoretically proved in 1971 by Prof Leon O. Chua, a researcher at Berkeley University. However, it took a long time to realize the memristör element physically. In 2008, R. Stanley Williams and his team obtained a linear dopand drift memristör model at HP laboratories. After modeling the memristör element, the interest in this subject has increased continuously, so many new memristör models and emulator designs have been reported. Using these model and emulators, it has been shown that the memristör element provides advantages in many fields such as electronic circuits, signal processing, chaotic systems, artificial neural networks and control system design. In this thesis, different emulator circuits given for the memristör in the literature are introduced and a comparison of the performance of these emulators in selected filter, oscillator and logic gate circuits is made. These memristör emulators, which are preferred due to the fact that the sales of the memristör is not common and high cost, are used instead of standard resistance on different electronic circuits. The effects of memristivity applied to the filter, oscillator and logic gate circuits on some specifications such as cut-off frequency, bandwidth and power consumption were investigated by both simulation and experimental studies. Thus, the performance comparisons of both the standard resistive circuit and the memristive circuit and also amongst the memristör emulators were carried out. Considering the results of the studies, it has been observed that the use of the memristör emulator in electronic circuits instead of the standard resistance element provides significant benefits in narrowing the bandwidth, adjusting the cutting frequency and reducing the power consumption.