Modern radar and communication systems require the detection and parameter estimation of signal under a broadband radio frequency (RF) environment. The Nyquist folding receiver (NYFR) is an efficient analog-to-information (A2I) architecture. It can use the compressive sensing (CS) techniques to break the limitations of the analog-to-digital converter (ADC). This paper demonstrates the restricted isometry property (RIP) of the NYFR deterministically by applying the Gershgorin circle theory. And, the NYFR suffers a poor RIP for the broadband signal, which will lead the conventional CS algorithms to be invalid. So, we derive the Fourier spectrum of the broadband signal, which covered multiple Nyquist zones and received by the NYFR. Then, the broadband signal can be regarded as the block-sparse signal. And, the block CS algorithms are applied for recovering the signal based on the analysis of the block-RIP. Finally, the simulation experiments demonstrate the validity of the findings.

中文翻译：

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Nyquist折叠接收机的RIP和block-RIP分析，用于恢复信号。

现代雷达和通信系统需要在宽带射频（RF）环境下对信号进行检测和参数估计。奈奎斯特折叠式接收机（NYFR）是一种高效的模数（A2I）架构。它可以使用压缩感测（CS）技术来打破模数转换器（ADC）的局限性。本文通过应用Gershgorin圆论确定性地证明了NYFR的受限等距特性（RIP）。而且，NYFR的宽带信号RIP较差，这将导致常规CS算法无效。因此，我们推导了宽带信号的傅立叶频谱，该频谱覆盖了多个奈奎斯特区，并被纽约州财政资源局接收。那么，宽带信号可以看作是块稀疏信号。和，基于对块RIP的分析，将块CS算法用于恢复信号。最后，仿真实验证明了研究结果的正确性。