Multichannel Sampling of Pulse Streams at the Rate of Innovation
Multichannel Sampling of Pulse Streams at the Rate of Innovation
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DOI：
10.1109/tsp.2011.2105481
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发表时间：
2010-04
影响因子：
5.4
通讯作者：
Kfir Gedalyahu;Ronen Tur;Yonina C. Eldar
中科院分区：
文献类型：
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作者：
Kfir Gedalyahu;Ronen Tur;Yonina C. Eldar
我们认为最小速率采样方案的无限流延迟和加权版本的一个已知的脉冲形状。这些参数信号的最小采样率称为新息率，等于单位时间内的自由度。虽然无限脉冲流的采样在以前的作品中被处理，要么创新率没有达到，或脉冲形状仅限于Diracs。在本文中，我们提出了一个多通道的架构，用于采样脉冲流与任意形状，在创新的速率操作。我们的方法是基于调制的输入信号与一组适当选择的波形，其次是一个银行的积分。这种架构的动机是最近的工作，多频带信号的次奈奎斯特采样。我们表明，脉冲流可以恢复从建议的最小速率样本使用标准的工具，从频谱估计在一个稳定的方式，即使在高速率的创新。此外，我们解决实际的实施问题，如减少硬件的复杂性和免疫故障的采样通道。所得到的方案是灵活的，并表现出更好的噪声鲁棒性比以前的方法。
We consider minimal-rate sampling schemes for infinite streams of delayed and weighted versions of a known pulse shape. The minimal sampling rate for these parametric signals is referred to as the rate of innovation and is equal to the number of degrees of freedom per unit time. Although sampling of infinite pulse streams was treated in previous works, either the rate of innovation was not achieved, or the pulse shape was limited to Diracs. In this paper we propose a multichannel architecture for sampling pulse streams with arbitrary shape, operating at the rate of innovation. Our approach is based on modulating the input signal with a set of properly chosen waveforms, followed by a bank of integrators. This architecture is motivated by recent work on sub-Nyquist sampling of multiband signals. We show that the pulse stream can be recovered from the proposed minimal-rate samples using standard tools taken from spectral estimation in a stable way even at high rates of innovation. In addition, we address practical implementation issues, such as reduction of hardware complexity and immunity to failure in the sampling channels. The resulting scheme is flexible and exhibits better noise robustness than previous approaches.