一种基于模块的模数转换结构
A Modulo-Based Architecture for Analog-to-Digital Conversion
摘要：
捕获和处理模拟信号的系统必须首先通过模数转换器获取这些信号。虽然随后的数字处理可以消除采集数据中存在的统计相关性，但转换器的动态范围通常经过缩放以匹配输入模拟信号的动态范围。本文提出了一种模数转换的方法，其目的是最大限度地减少在转换器的输出每个样本的位数。这是通过对模拟信号的幅度执行模运算来减小模拟信号的动态范围，然后量化结果来实现的。虽然转换器本身是通用的并且不知道信号的统计，但是对量化器的输出的解码器操作可以利用统计结构以便展开模折叠。这种方法的性能接近信息理论极限，所捕获的率失真函数，在各种设置。提出了一种基于环形振荡器的模模数转换器结构，并通过数值计算证明了其优点。
英文摘要：
Systems that capture and process analog signals must first acquire them through an analog-to-digital converter. While subsequent digital processing can remove statistical correlations present in the acquired data, the dynamic range of the converter is typically scaled to match that of the input analog signal. The present paper develops an approach for analog-to-digital conversion that aims at minimizing the number of bits per sample at the output of the converter. This is attained by reducing the dynamic range of the analog signal by performing a modulo operation on its amplitude, and then quantizing the result. While the converter itself is universal and agnostic of the statistics of the signal, the decoder operation on the output of the quantizer can exploit the statistical structure in order to unwrap the modulo folding. The performance of this method is shown to approach information theoretical limits, as captured by the rate-distortion function, in various settings. An architecture for modulo analog-to-digital conversion via ring oscillators is suggested, and its merits are numerically demonstrated.
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