To mitigate the dynamic range problems that low-bit quantization of conventional analog-to-digital converters (ADCs) suffer from, we shift our attention to the novel modulo ADCs (Mod-ADCs). We consider the Cramér-Rao bound (CRB) analysis for signal parameter estimation from Mod-ADC generated data. Four CRB formulas are derived assuming known or unknown folding-counts, for both quantized and unquantized cases. We analyze many of their characteristics, such as monotonicity, boundedness and convergence; and perform detailed comparisons of the CRBs among the conventional ADCs and the two different types of Mod-ADCs. Numerical examples are presented to demonstrate these characteristics, and that the low-bit Mod-ADCs can provide satisfactory signal parameter estimation performances even in high dynamic range situations.

中文翻译：

---

Cramér-Rao bound 用于从模 ADC 生成的数据进行信号参数估计


为了缓解传统模数转换器 （ADC） 的低位量化面临的动态范围问题，我们将注意力转向新型模数 ADC （MOD-ADC）。我们考虑使用 Cramér-Rao 界 （CRB） 分析从 Mod-ADC 生成的数据中估计信号参数。假设已知或未知的折叠计数，对于量化和未量化的情况，推导出四个 CRB 公式。我们分析了它们的许多特征，例如单调性、有界性和收敛性;并对传统 ADC 和两种不同类型的 Mod-ADC 之间的 CRB 进行详细比较。本文通过数值实例来证明这些特性，并且即使在高动态范围情况下，低位 Mod-ADC 也能提供令人满意的信号参数估计性能。