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On the reconstruction of derivative sampling method of band-limited signal

机译：带限信号导数采样方法的重构

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摘要

In this paper, the reconstruction methods of the derivative sampling methods of bandlimited signals are presented. First, the conventional Nyquist uniform sampling method and the derivative sampling method are reviewed briefly. Then, the reconstruction filters are designed by converting the analog filter bank structure in derivative sampling method to an equivalent discrete-time filter bank structure preceded by Nyquist uniform sampling and followed by impulse modulation and lowpass filtering. Next, the first-order derivative sampling method is extended to fractional-order derivative sampling method and the designs of its reconstruction filter bank are also studied. To reduce the implementation complexity, the orthogonal matching pursuit method is used to design the sparse digital filter bank in the proposed reconstruction structure. Finally, some numerical examples are used to show the effectiveness of the proposed reconstruction methods of the derivative sampling schemes.
机译：本文提出了带限信号导数采样方法的重构方法。首先，简要回顾了传统的奈奎斯特均匀采样方法和导数采样方法。然后，通过将导数采样方法中的模拟滤波器组结构转换为等效的离散时间滤波器组结构，再进行奈奎斯特均匀采样，然后进行脉冲调制和低通滤波，来设计重构滤波器。接下来，将一阶导数采样方法扩展为分数阶导数采样方法，并研究了其重构滤波器组的设计。为了降低实现的复杂度，在所提出的重构结构中，采用正交匹配追踪法设计稀疏的数字滤波器组。最后，通过一些数值算例说明了所提出的微分抽样方案重构方法的有效性。

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