电容器件电压-电荷和电荷-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
摘要：
在这项工作中，我们的目标是表明，一般有四种可能的映射函数，可用于映射的时域或频域表示的施加的电压输入到所得的时域或频域电荷输出;即，当电容性设备是电压充电。或者，当设备被电流充电时，还有四种可能的组合。对于电压或电荷输入的情况，每对函数之间的对偶关系以单傅立叶变换或双傅立叶变换来提供。当且仅当考虑与时间和频率无关的恒定电容时，所有八个系统函数彼此一致。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
