Nonlineer Sürüklenmeli Memristör Modelleri Kullanılarak Memristör Tabanlı Testere Dişi Sinyal Kaynağının Modellenmesi ve Simülasyonu

Yıl 2019, Cilt: 2 Sayı: 1, 44 - 57, 18.07.2019

Ayvaz Kurtdemir Reşat Mutlu

Öz

Yeni devre elemanı memristörün yeni tip analog devre
uygulamaları inceleme altındadır. Memristörler şu ana kadar zaten bazı osilatör
devrelerinde kullanılmıştır. Yakın zamanda, HP memristör modeli ve onun
emülatörü kullanılarak bir testeredişi dalga sinyal jeneratörünün
yapılabileceği gösterilmiştir.  HP
memristör model artık geçersiz olmuştur. Literatürde, pencere fonksiyonu
kullanan iyonik memristör modelelri bulunmaktadır. Bu makalede, bir kaç iyi
bilinen Nonlineer
Sürüklenme hızlı memristör modelinin bir testeredişi dalga jeneratörünün
benzetiminde kullanılabilirliği analiz edilmiştir. Beş farklı model
kullanılarak testeredişi dalga jeneratörünün analizi yapılmıştır. Devre
denklemleri çzöülerek bazı modellerin kapalı fonksiyon şeklinde çzöümü olduğu
ve bazı çözümlerin memristör sınırlarında (memristör durum değişkeni sıfıra ya
da bire eşit olduğunda) çalışmadığı gösterilmiştir. Biolek’in pencere
fonksiyonu ve bir değiştirilmiş Biolek pencere fonsiyonu olan Zha’nın pencere
fonksiyonu MATLAB programıyla yapılan benzetimler kullanılarak, tüm çalışma
bölgesi için en kullanışlı pencere fonksiyonları olarak bulunmuştur. Sinyal
jeneratörünün alçak ve yüksek frakans davranışıda gösterilmiştir. 

Anahtar Kelimeler

Memristör, Memristör modeli, Memristör tabanlı sinyal jeneratörü, Testeredişi dalga şekli, Pencere fonksiyonu.

Modeling and Simulation of a Memristor-Based Sawtooth Signal Generator Using Nonlinear Dopant Drift Memristor Models

Öz

The new circuit
element memristor is under inspection for new type of analogue applications.
Memristors are already used in some oscillator circuits. Recently, it has been
shown that a sawtooth signal generator with a memristor can be made using HP
model of Ti0₂ memristor and its emulator. HP memristor model is obsolete now. In literature, there are ionic
memristor models which uses window functions. In this paper, several well-known
nonlinear drift memristor model’s usability to simulate such a sawtooth signal
generator is examined. Analysis of the sawtooth signal generator is
done using five different models. It has been shown solving circuit equations
that some of the models have closed form solutions and some of the solutions
are invalid at the memristor boundaries (when the state variable is equal to
zero or one). Biolek’s window function and a modified Biolek’s window function,
Zha’s window function are found to be the most useful ones to model the
memristor throughout its whole operation using simulations made in Matlab. Low and high frequency behavior of the signal
generator is also shown.  

Anahtar Kelimeler

Memristor, Memristor-based signal generator, Nonlinear dopant drift memristor model, Sawtooth waveform, Window function.

Kaynakça

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