论文标题
关于使用统一ADC的固定信号的获取
On the Acquisition of Stationary Signals Using Uniform ADCs
论文作者
论文摘要
在这项工作中，我们考虑使用统一的类似物转换器（ADC），即采用均匀的采样和标量均匀量化的固定信号。我们共同优化了预采样和重建过滤器，以最大程度地减少时间平均的于点误差（TMSE），以恢复固定采样率和量化分辨率的连续时间输入信号，并获得最小可实现的TMSE的闭合表达式。我们表明，TMSE最小化的预采样过滤器省略了混叠，并丢弃弱频率组件，以在速率预算较小时以更高的分辨率来解决其余的频率组件。在我们的数值研究中，我们验证了我们的结果，并表明在ADC输出时，在速率紧张的预算下，子扬声的抽样通常可以最大程度地减少TMSE。
In this work, we consider the acquisition of stationary signals using uniform analog-to-digital converters (ADCs), i.e., employing uniform sampling and scalar uniform quantization. We jointly optimize the pre-sampling and reconstruction filters to minimize the time-averaged mean-squared error (TMSE) in recovering the continuous-time input signal for a fixed sampling rate and quantizer resolution and obtain closed-form expressions for the minimal achievable TMSE. We show that the TMSE-minimizing pre-sampling filter omits aliasing and discards weak frequency components to resolve the remaining ones with higher resolution when the rate budget is small. In our numerical study, we validate our results and show that sub-Nyquist sampling often minimizes the TMSE under tight rate budgets at the output of the ADC.
