标题： 基于正交匹配追踪的模运算滞后算子重建方法 显示英文标题

标题： Orthogonal Matching Pursuit based Reconstruction for Modulo Hysteresis Operators

摘要： 无限制采样通过在采样前利用模非线性将信号折叠到模数转换器(ADC)的动态范围内，从而提供了一种获取高动态范围信号的方案，以防止饱和。 最近，引入了一种称为模滞后性的广义方案来考虑硬件的非理想性。 然而，编码算子并不能保证输出信号在ADC的动态范围内。 为了解决这个问题，我们提出了一种修改后的模滞后性算子，并证明了带限信号从模滞后性样本中的可识别性。 我们提出了基于正交匹配追踪的恢复算法，并通过数值实验验证了我们的理论结果。 显示英文摘要

摘要： Unlimited sampling provides an acquisition scheme for high dynamic range signals by folding the signal into the dynamic range of the analog-to-digital converter (ADC) using modulo non-linearity prior to sampling to prevent saturation. Recently, a generalized scheme called modulo hysteresis was introduced to account for hardware non-idealities. The encoding operator, however, does not guarantee that the output signal is within the dynamic range of the ADC. To resolve this, we propose a modified modulo hysteresis operator and show identifiability of bandlimited signals from modulo hysteresis samples. We propose a recovery algorithm based on orthogonal matching pursuit and validate our theoretical results through numerical experiments.