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Automatic symbolic analysis of switched-capacitor filtering networks using signal flow graphs

机译:使用信号流图自动分析开关电容器滤波网络

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摘要

Signal flow graphs (SFG's) are a powerful technique to analyze switched-capacitor (SC) circuits in a way that provides in-depth information about their operation and direct access to the corresponding symbolic z-transfer functions. Due to lengthy and error-prone symbolic manipulations this is manually manageable for simple first- or second-order circuits, but becomes unpractical for manipulating higher-order circuits which can not be decomposed into first- and second-order ones. Hence, there is an important need to provide designers with a computer-aided tool for the SFG symbolic analysis of a broad class of SC filtering networks, as described in this paper. Rule-based techniques are employed to capture from arbitrary circuit schematic and timing diagrams the corresponding symbolic SFG leading to the automatic generation of the associated z-transfer function. Symbols can then be instantiated to numerical values to obtain measurable data on a variety of performance indicators such as total capacitor area and capacitance spread as well as the resulting nominal frequency response and its variability against component errors. This is illustrated considering a variety of examples of SC filtering networks including, besides the more traditional filters, both finite and infinite impulse response decimators.
机译:信号流图(SFG)是一种强大的技术,可通过分析开关电容器(SC)电路的方式来提供有关其操作的深入信息并直接访问相应的符号z传递函数。由于冗长且容易出错的符号操作,这对于简单的一阶或二阶电路是手动可管理的,但是对于处理无法分解为一阶和二阶电路的高阶电路则变得不切实际。因此,非常需要为设计人员提供一种计算机辅助工具,用于对广泛的SC过滤网络进行SFG符号分析,如本文所述。基于规则的技术可用于从任意电路示意图和时序图中捕获相应的符号SFG,从而自动生成相关的z传递函数。然后可以将符号实例化为数值,以获得有关各种性能指标的可测量数据,例如总电容器面积和电容展宽以及由此产生的标称频率响应及其对组件误差的可变性。考虑到SC滤波网络的各种示例进行了说明,除了更传统的滤波器之外,还包括有限和无限脉冲响应抽取器。

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