Design of pipeline analog-to-digital converters via geometric programming
Design of pipeline analog-to-digital converters via geometric programming
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DOI：
10.1145/774572.774620
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发表时间：
2002-11
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影响因子：
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通讯作者：
M. Hershenson
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文献类型：
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作者：
M. Hershenson
在本文中，我们提出了一种设计的模拟数字转换器（ADC）的方法。该方法计算不同组件（晶体管，电容器等）的大小。在预定义的ADC拓扑中，以便在所需的工艺技术中满足设计规格。该方法是基于制定ADC的设计约束，如规格的功率，信噪比（SNR），面积，和采样频率在特殊的凸形式的ADC和中间设计变量的组件尺寸。更具体地说，我们将ADC组件的尺寸确定问题转化为几何规划。因此，所有的设计约束被公式化为多项式不等式或单项等式约束。然后，使用非常高效的数值算法来求解生成的几何规划，并计算符合所需规格的ADC的元件尺寸。该合成方法是快速的，并确定全局最优设计;特别是最终的解决方案是完全独立的起点（这甚至可以是不可行的），不可行的规格明确检测。本文介绍了几何规划框架内的分层问题制定的概念。该模块化公式允许ADC多项式模型的高度重用。
In this paper we present a method for the design of analog-to-digital converters (ADCs). This method computes the sizes of the different components (transistors, capacitors, etc.) in a predefined ADC topology so that the design specifications are met in the desired process technology. The method is based on formulating the ADC design constraints such as specifications on power, signal-to-noise ratio (SNR), area, and sampling frequency in special convex form in terms of the component sizes of the ADC and intermediate design variables. More specifically, we cast the problem of sizing the components of the ADC as a geometric program. Therefore, all design constraints are formulated as polynomial inequality or monomial equality constraints. Very efficient numerical algorithms are then used to solve the resulting geometric program and to compute the component sizes of an ADC that meets the desired specifications. The synthesis method is fast, and determines the globally optimal design; in particular the final solution is completely independent of the starting point (which can even be infeasible), and infeasible specifications are unambiguously detected. This paper introduces the concept of hierarchical problem formulation within a geometric programming framework. This modular formulation allows a high re-use of the ADC polynomial model.