To apply the Ramanujan filter bank based on the compressed sensing theory to the period estimation of multiple sets of radar pulses, alternatives to period data and the Ramanujan Subspace are proposed in this study. First, the rationality of alternatives to the TOA (time of arrival) model is illustrated by comparing the advantages and disadvantages of the time-point model and the TOA model. Next, by clarifying the zero-sum energy property of the Ramanujan Subspace, the possibility of finding an alternative to the discrete Fourier transform sequence with smaller data is proved. On this basis, a new algorithm for estimating the stagger period of mixed pulses is proposed, which introduces the initial phase of the stagger pulses. The results of the experiments show that the algorithm can accurately estimate the hidden stagger periods of mixed pulses, and it is adept at dealing with false and missing mixed pulses.

中文翻译：

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多组雷达脉冲的交错周期估计算法

为了将基于压缩感知理论的拉曼努占滤波器组应用于多组雷达脉冲的周期估计中，提出了周期数据和拉曼努占子空间的替代方案。首先，通过比较时间点模型和TOA模型的优缺点，说明了TOA（到达时间）模型替代方案的合理性。接下来，通过阐明Ramanujan子空间的零和能量特性，证明了找到具有较小数据的离散傅立叶变换序列的替代方法的可能性。在此基础上，提出了一种估计混合脉冲交错周期的新算法，介绍了交错脉冲的初始相位。实验结果表明，该算法可以准确估计混合脉冲的隐蔽交错周期，