Memristor-based relaxation oscillators using digital gates

Khatib, Moustafa; Fouda, Mohammed E.; Mosad, Ahmed G.; Salama, Khaled N.; Radwan, Ahmed G.

doi:10.1109/icces.2012.6408491

Cited by 11 publications

(12 citation statements)

References 20 publications

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“…The valid range of V ref is [−0.3333 V , 0.4605 V ] and circuit parameter equals {V n , V p = −0.75 V ,0.5 V } as shown in Figure B. A similar architecture to this case was presented in Khatib et al where a NAND gate was employed instead of AND gate that is why different expressions are derived here since; the procedure is different.…”

Section: Generalized Two Memristor‐based Voltage‐controlled Oscillatormentioning

confidence: 98%

“…Therefore, the memristor is considered as a resistance‐storing element. The memristor replaced a reactive element such as a capacitor or an inductor in the relaxation oscillators . The circuit introduced in Zidan et al consists of one memristor and one resistor (M‐R), and another circuit introduced in Zidan et al where the memristor is exchanged with the resistor (R‐M).…”

Section: Introductionmentioning

confidence: 99%

“…The memristor replaced a reactive element such as a capacitor or an inductor in the relaxation oscillators. [17][18][19] The circuit introduced in Zidan et al 17 consists of one memristor and one resistor (M-R), and another circuit introduced in Zidan et al 17 where the memristor is exchanged with the resistor (R-M). Also, in Zidan et al, 17 two general oscillator circuits topologies were introduced employing two memristors (M-M) with the same and different polarities.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A generalized family of memristor‐based voltage controlled relaxation oscillator

Hezayyin

Ahmed

Fouda

et al. 2018

Circuit Theory & Apps

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Summary Recently, memristive oscillators are a significant topic in the nonlinear circuit theory where there is a possibility to build relaxation oscillators without existence of reactive elements. In this paper, a family of voltage‐controlled memristor‐based relaxation oscillator including two memristors is presented. The operation of two memristors‐based voltage relaxation oscillator circuits is demonstrated theoretically with the mathematical analysis and with numerical simulations. The generalized expressions for the oscillation frequency and conditions are derived for different cases, where a closed form is introduced for each case. The effect of changing the circuit parameters on the oscillation frequency and conditions is investigated numerically. In addition, the derived equations are verified using several transient PSPICE simulations. The power consumption of each oscillator is obtained numerically and compared with its PSPICE counterpart. Furthermore, controlling the memristive oscillator with a voltage grants the design an extra degree of freedom which increases the design flexibility. The nonlinear exponential model of memristor is employed to prove the oscillation concept. As an application, two examples of voltage‐controlled memristor‐based relaxation oscillator are provided to elaborate the effect of the reference voltage on the output voltage. This voltage‐controlled memristor‐based relaxation oscillator has nano size with storage property that makes it more efficient compared with the conventional one. It would be helpful in many communication applications.

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Section: Generalized Two Memristor‐based Voltage‐controlled Oscillatormentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A generalized family of memristor‐based voltage controlled relaxation oscillator

Hezayyin

Ahmed

Fouda

et al. 2018

Circuit Theory & Apps

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“…The two comparators are used to make sure that the memristor resistance always varies between two limits to achieve the oscillation function at the output of the NAND gate [14]. The two memristors are connected instead of the relaxation RC circuit to emulate the behavior of the charging and the discharging of the capacitor as shown in Fig.…”

Section: Symmetric Memristive Two-gate Oscillatormentioning

confidence: 99%

Memristor-Based Relaxation Oscillator Circuits

Radwan

Fouda

2015

Studies in Systems, Decision and Control

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Oscillators are the key component in electronic systems since there is always a need for a repetitive signal with a given frequency and waveform for timing, modulation, and test and measurement applications [1]. Oscillators circuits are designed to produce a repetitive, oscillating signal, often a sine wave or a square wave. The two main types of oscillators are sinusoidal and relaxation oscillators. Sinusoidal oscillators are based on positive feedback, where a frequency selective network is used to determine the frequency of oscillation of the sinusoidal output. Relaxation oscillators are used to produce square waves, pulses, and triangular waves. Square waves are one of the most important signals in digital applications. Relaxation oscillator is basically an astable multivibrator which is an electronic circuit that operates between two quasi-stable states (on and off states) at a certain frequency and whose period depends on the charging and discharging of a storing element which is conventionally a capacitor. This chapter discusses some relaxation oscillators which generate square waveform without using any reactive element.

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“…The positive configuration of this type, shown in Figure 1d, was recently presented by the authors in [48]. Slight variations to the original circuit presented in [48] provide higher frequency of operation and a wider range of allowable resistances [49,50] and could be easily applied to the family of circuits presented. The effect of the linear and non linear models on the oscillation frequency and condition of oscillation on the original circuit presented in [48] have been presented in [51].…”

Section: Mrlo Type 'C': Single Grounded Memristor (Kmentioning

confidence: 99%

A family of memristor‐based reactance‐less oscillators

Zidan

Omran

Smith

et al. 2013

Circuit Theory & Apps

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SUMMARYIn this paper, we present for the first time a family of memristor-based reactance-less oscillators (MRLOs). The proposed oscillators require no reactive components, i.e., inductors or capacitors, rather, the "resistance-storage" property of memristor is exploited to generate the oscillation. Different types of MRLO family are presented and for each type, closed form expressions are derived for the oscillation condition, oscillation frequency, and range of oscillation. Derived equations are further verified using transient circuit simulations. A comparison between different MRLO types is also discussed. In addition, detailed fabrication steps of a memristor device and experimental results for the first MRLO physical realization are presented.

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Memristor-based relaxation oscillators using digital gates

Cited by 11 publications

References 20 publications

A generalized family of memristor‐based voltage controlled relaxation oscillator

A generalized family of memristor‐based voltage controlled relaxation oscillator

Memristor-Based Relaxation Oscillator Circuits

A family of memristor‐based reactance‐less oscillators

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