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

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

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 HP memristor model is obsolete now.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.

Keywords:

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

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