Time-Domain and Frequency-Domain Mappings of Voltage-to-Charge and Charge-to-Voltage in Capacitive Devices
Time-Domain and Frequency-Domain Mappings of Voltage-to-Charge and Charge-to-Voltage in Capacitive Devices
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DOI：
10.1109/tcsii.2022.3174965
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发表时间：
2022-03
期刊：
影响因子：
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通讯作者：
A. Allagui;A. Elwakil;Chunlei Wang
中科院分区：
文献类型：
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作者：
A. Allagui;A. Elwakil;Chunlei Wang
在本文中，我们的目的是表明，通常有四种可能的映射函数，可用于将施加的电压输入的时域或频域表示映射到所得的时域或频域电荷输出；即，当电容装置带电压充电时。或者，当设备进行电流充电时，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的形式提供。当且仅当考虑与时间和频率无关的恒定电容时，所有八个系统函数才彼此一致。
In this brief, 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.