Single-Bit Oversampled A/D Conversion With Exponential Accuracy in the Bit Rate
Single-Bit Oversampled A/D Conversion With Exponential Accuracy in the Bit Rate
复制标题
具有指数精度比特率的单位过采样 A/D 转换
DOI：
10.1109/tit.2007.907508
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发表时间：
2007
影响因子：
2.5
通讯作者：
B. Logan
中科院分区：
文献类型：
--
作者：
Z. Cvetković;I. Daubechies;B. Logan
提出了一种简单的过采样A/D转换方案。该方案是基于记录的输入信号的过零点的位置添加到一个确定性的抖动函数。该信息可以以这样的方式表示，使得比特率仅随过采样因子r而几何地增加。输入的带限信号可以重建从这个信息本地O（1/r）逐点误差，导致在指数衰减的失真率特性。在研究所提出的A/D转换方案的精度的过程中，建立了利用具有快速衰减的函数的线性组合从不规则样本重构带限信号的一些新结果。从量化的不规则样本的带限信号的局部插值方案也被提出。
A scheme for simple oversampled analog-to-digital (A/D) conversion using single-bit quantization is presented. The scheme is based on recording positions of zero-crossings of the input signal added to a deterministic dither function. This information can be represented in a manner such that the bit rate increases only logarithmically with the oversampling factor r. The input band-limited signal can be reconstructed from this information locally with O(1/r) pointwise error, resulting in an exponentially decaying distortion-rate characteristic. In the course of studying the accuracy of the proposed A/D conversion scheme, some new results are established about reconstruction of band-limited signals from irregular samples using linear combination of functions with fast decay. Schemes for local interpolation of band-limited signals from quantized irregular samples are also proposed.