Journal
MICROMACHINES
Volume 13, Issue 9, Pages -Publisher
MDPI
DOI: 10.3390/mi13091512
Keywords
fractional-order circuits; systems; mem-element; memristor; memcapacitor; meminductor
Categories
Funding
- National Natural Science Foundation of China [62171303]
- China South Industries Group Corporation (Chengdu) Fire Control Technology Center Project (non-secret) [HK20-03]
- National Key Research and Development Program Foundation of China [2018YFC0830300]
- Chengdu Normal University Foundation of China [CS21ZC02]
- Classic Undergraduate Course Construction Project in the Sichuan Province of China [SJYLKC2118]
- Collaborative Education Quality Project of Industry-University Cooperation by the Ministry of Education of China [201702119108]
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This paper proposes a principle of frequency-domain characteristic analysis for fractional-order memristor based on order- and F-frequency characteristic functions. It is successfully applied to the chain-scaling fractional-order memristor circuit and can quantitatively calculate the fractional-order memristance.
Scaling fractional-order memristor circuit is important for realizing a fractional-order memristor. However, the effective operating-frequency range, operation order, and fractional-order memristance of the scaling fractional-order memristor circuit have not been studied thoroughly; that is, the fractional-order memristance in the effective operating-frequency range has not been calculated quantitatively. The fractional-order memristance is a similar and equally important concept as memristance, memcapacitance, and meminductance. In this paper, the frequency-domain characteristic-analysis principle of the fractional-order memristor is proposed based on the order- and F-frequency characteristic functions. The reasons for selecting the order- and F-frequency characteristic functions are explained. Subsequently, the correctness of the frequency-domain characteristic analysis using the order- and F-frequency characteristic functions is verified from multiple perspectives. Finally, the principle of the frequency-domain characteristic analysis is applied to the recently realized chain-scaling fractional-order memristor circuit. The results of this study indicate that the principle of the frequency-domain characteristic analysis of the fractional-order memristor can successfully calculate the fractional-order memristance of the chain-scaling fractional-order memristor circuit. The proposed principle of frequency-domain characteristic analysis can also be applied to mem-elements, such as memristors, memcapacitors, and meminductors. The main contribution of this study is the principle of the frequency-domain characteristic analysis of the fractional-order memristor based on the order- and F-frequency characteristic functions.
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