A review on memristor applications
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paper_title: Memristor-The missing circuit element

paper_content:

A new two-terminal circuit element-called the memristorcharacterized by a relationship between the charge q(t)\equiv \int_{-\infty}^{t} i(\tau) d \tau and the flux-linkage \varphi(t)\equiv \int_{- \infty}^{t} v(\tau) d \tau is introduced as the fourth basic circuit element. An electromagnetic field interpretation of this relationship in terms of a quasi-static expansion of Maxwell's equations is presented. Many circuit-theoretic properties of memistors are derived. It is shown that this element exhibits some peculiar behavior different from that exhibited by resistors, inductors, or capacitors. These properties lead to a number of unique applications which cannot be realized with RLC networks alone. Although a physical memristor device without internal power supply has not yet been discovered, operational laboratory models have been built with the help of active circuits. Experimental results are presented to demonstrate the properties and potential applications of memristors.
---
paper_title: Memristor-The missing circuit element

paper_content:

A new two-terminal circuit element-called the memristorcharacterized by a relationship between the charge q(t)\equiv \int_{-\infty}^{t} i(\tau) d \tau and the flux-linkage \varphi(t)\equiv \int_{- \infty}^{t} v(\tau) d \tau is introduced as the fourth basic circuit element. An electromagnetic field interpretation of this relationship in terms of a quasi-static expansion of Maxwell's equations is presented. Many circuit-theoretic properties of memistors are derived. It is shown that this element exhibits some peculiar behavior different from that exhibited by resistors, inductors, or capacitors. These properties lead to a number of unique applications which cannot be realized with RLC networks alone. Although a physical memristor device without internal power supply has not yet been discovered, operational laboratory models have been built with the help of active circuits. Experimental results are presented to demonstrate the properties and potential applications of memristors.
---
paper_title: How We Found The Missing Memristor

paper_content:

This article discusses the development of a memristor and how it works. A memristor is a contraction of a memory resistor and is a two-terminal device whose resistance depends on the voltage applied to it and the length of time that voltage has been applied. This device remembers its history, that is, when you turn off the voltage, the memristor remembers its most recent resistance until the next time you turn it on.
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paper_title: Switching dynamics in titanium dioxide memristive devices

paper_content:

Memristive devices are promising components for nanoelectronics with applications in nonvolatile memory and storage, defect-tolerant circuitry, and neuromorphic computing. Bipolar resistive switches based on metal oxides such as TiO2 have been identified as memristive devices primarily based on the “pinched hysteresis loop” that is observed in their current-voltage (i-v) characteristics. Here we show that the mathematical definition of a memristive device provides the framework for understanding the physical processes involved in bipolar switching and also yields formulas that can be used to compute and predict important electrical and dynamical properties of the device. We applied an electrical characterization and state-evolution procedure in order to capture the switching dynamics of a device and correlate the response with models for the drift diffusion of ionized dopants (vacancies) in the oxide film. The analysis revealed a notable property of nonlinear memristors: the energy required to switch a me...
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paper_title: Memristor Applications for Programmable Analog ICs

paper_content:

This paper demonstrates that memristors can be used to implement programmable analog circuits, leveraging memristor's fine-resolution programmable resistance without causing perturbations due to parasitic components. Fine-resolution programmable resistance is achieved by varying the amount of flux across memristors. The resistance programming can be achieved by controlling the input pulsewidth and its frequency. For demonstration, a memristor is designed for a pulse-programmable midband differential gain amplifier with fine resolution.
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paper_title: Matching in memristor based auto-associative memory with application to pattern recognition

paper_content:

The study of memristor based associative memory design has become increasingly important with the advent of new hybrid CMOS Molecular (CMOL) technologies. To date, only a very few papers have been published on this topic. Specifically, little is know regarding partial or full match is possible in CMOL technologies which use CMOS and memristors. To this end, a new approach to implement partial of full matching in associative memory is introduced. The method is based on complementary transformations at the input. This method is augmented with transformations that specifically enhance partial or full matching of the input data while improving the performance. Experimental results show that the proposed methodology can achieve better performance than similar designs in the literature.
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paper_title: A review on memristive devices and applications

paper_content:

Recent discovery of the memristor has sparked a new wave of enthusiasm and optimism in revolutionising circuit design, marking a new era for the advancement of neuromorphic and analogue applications. In this work, we consider practical applications in which the highly non-linear dynamic response of the memristor can be employed. It is shown that the device can be utilised as a non-volatile memory element and/or a programmable dynamic load, with particular emphasis given into bio-inspired analog implementations that typically exploit the ability of the memristor to support both logic and memory simultaneously. Finally, a novel concept is presented demonstrating the capacity of memristive networks in realising demanding image processing algorithms and more specifically edge detection.
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paper_title: Memristor-based filtering applications

paper_content:

The use of the memristor as a programmable resistance permits the realization of memristor-based analog circuits with flexible features. This work gains some insight on memristor-based filtering applications. Adopting a PSpice implementation of the recently-introduced Boundary Condition Model (BCM) for memristive nanostructures, we analyze basic first-order low-pass and second-order band-pass memristor-based filters, whose frequency characteristics may be finely shaped through simple auxiliary programming circuitry. In particular, programming phases, dependent on some control system, respectively enable the desired modulation of the cut-off frequency and of the quality factor of the frequency response of the lowpass and of the band-pass filter. This study represents the first step towards a systematic design of memristor-based analog filters.
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paper_title: A review on memristive devices and applications

paper_content:

Recent discovery of the memristor has sparked a new wave of enthusiasm and optimism in revolutionising circuit design, marking a new era for the advancement of neuromorphic and analogue applications. In this work, we consider practical applications in which the highly non-linear dynamic response of the memristor can be employed. It is shown that the device can be utilised as a non-volatile memory element and/or a programmable dynamic load, with particular emphasis given into bio-inspired analog implementations that typically exploit the ability of the memristor to support both logic and memory simultaneously. Finally, a novel concept is presented demonstrating the capacity of memristive networks in realising demanding image processing algorithms and more specifically edge detection.
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Title: A Review on Memristor Applications

Section 1: INTRODUCTION
Description 1: Introduce the memristor, its basic properties, historical context, and the scope of the paper. 

Section 2: MEMRISTOR THEORY
Description 2: Provide a detailed explanation of the theoretical background of memristors, including Chua's hypothesis, mathematical foundations, and basic operating principles.

Section 3: HP MEMRISTOR AND ITS IMPLEMENTATION IN P-SPICE
Description 3: Discuss the physical realization of the first memristor by HP Labs and its implementation in the P-SPICE simulator, including its structure, properties, and behavior.

Section 4: MAIN APPLICATIONS OF MEMRISTOR
Description 4: Explore the primary applications of memristors in various fields such as non-volatile memory, analog electronics, neural networks, image processing, and reconfigurable RF antennas.

Section 5: CONCLUSION AND FUTURE DEVELOPMENTS
Description 5: Summarize the key points discussed in the paper and address future directions for memristor research and potential advancements in technology.