论文标题
电容设备中电压和电压电压的时域和频域映射
Time-Domain and Frequency-Domain Mappings of Voltage-to-Charge and Charge-to-Voltage in Capacitive Devices
论文作者
论文摘要
在这项工作中,我们的目的是表明通常有四个可能的映射函数可用于映射应用电压输入的时间域或频域表示形式,以绘制到由此产生的时间域或频率域电荷输出;即电容设备的电压载荷。另外,当设备电流充电时,还有四个可能的组合。为电压或电荷输入情况,每对函数之间的双重关系是根据单个或双傅立叶变换的。当且仅当考虑恒定时间和频率独立的电容时,所有八个系统的功能彼此之间的功能彼此一致。
In this work, we aim to show that there are generally four possible mapping functions that can be used to map the time-domain or frequency-domain representations of an applied voltage input to the resulting time-domain or frequency-domain electrical charge output; i.e. when the capacitive device is voltage-charged. Alternatively, there are four more possible combinations when the device is current-charged. The dual relationship between each pair of functions for the case of voltage or charge input are provided in terms of single or double Fourier transforms. All eight system functions coincide with each other if and only if a constant time- and frequency-independent capacitance is considered.