Periodic nonuniform sampling occurs in many applications, and the Nyquist folding receiver (NYFR) is an efficient, low complexity, and broadband spectrum sensing architecture. In this paper, we first derive that the radio frequency (RF) sample clock function of NYFR is periodic nonuniform. Then, the classical results of periodic nonuniform sampling are applied to NYFR. We extend the spectral reconstruction algorithm of time series decomposed model to the subsampling case by using the spectrum characteristics of NYFR. The subsampling case is common for broadband spectrum surveillance. Finally, we take example for a LFM signal under large bandwidth to verify the proposed algorithm and compare the spectral reconstruction algorithm with orthogonal matching pursuit (OMP) algorithm.

中文翻译：

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基于Nyquist折叠方案的周期性非均匀子采样信号的频谱重构。

周期性非均匀采样发生在许多应用中，奈奎斯特折叠接收机（NYFR）是一种高效，低复杂度和宽带频谱感测架构。在本文中，我们首先得出NYFR的射频（RF）采样时钟函数是周期不均匀的。然后，将定期非均匀采样的经典结果应用于NYFR。利用NYFR的频谱特征，将时间序列分解模型的频谱重构算法扩展到了二次采样的情况。在宽带频谱监视中，二次采样的情况很常见。最后，以大带宽下的LFM信号为例，对本文提出的算法进行了验证，并将频谱重构算法与正交匹配追踪（OMP）算法进行了比较。