Passage of fractal signals via circuit with a ferroelectric capacitor with a negative capacitance

Abstract

In the report presented, the results of synthesis of two of the newest scientific areas, namely integrated ferroelectrics and fractal radio systems, have been shown on the simplest example. For this goal, the numerically analytical method for an approximate solution of the equation for the electric charge value on a ferroelectric capacitor with negative capacitance connected to a fractal voltage source through a series resistor has been developed. This method combines the regularisation of the input fractal signal (voltage), decomposition of obtained fractal voltage by means of Haar wavelets using the Mallat algorithm, and matching of analytical expressions for charge at the constant input voltage. The accuracy of the method proposed and change of the fractal dimension of voltage before and after schemes mentioned have been discussed.

Keywords

• ferroelectric capacitors
• wavelet transforms
• fractals
• resistors
• approximation theory
• ferroelectric capacitor
• negative capacitance
• integrated ferroelectrics
• fractal radio systems
• numerically analytical method
• approximate solution
• electric charge value
• fractal voltage source
• series resistor
• input fractal signal
• constant input voltage
• haar wavelets
• mallat algorithm
• analytical expression matching