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Sub-Nyquist sampling with independent measurements

机译：次奈奎斯特采样，具有独立测量

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摘要

This paper presents an efficient sub-Nyquist pulse-Doppler radar system via quadrature compressive sampling (QuadCS) in fast-time domain.QuadCS is a bandpass variant of random demodulation and inserts randomness into the measurement matrix by employing a random chipping signal.Different from conventional sub-Nyquist radars using fixed measurement matrices in all pulse repetition intervals (PRIs).namely the same chipping signals for our system.we utilizes independent chipping signals in each PRI.Hence we obtain a sequence of independent measurement matrices in a coherent processing interval.and the resulting sensing matrix has better restricted isometry property than that with fixed measurement.Theoretical analysis indicates that our system can further reduce the sampling rate or can identify more number of targets than that with fixed measurement.Moreover.the sampling rate and the number of transmitted pulses are exchangeable.thus providing more flexibility for the design of sub-Nyquist radars.The main challenge of independent measurement is that the computational efficient decoupled processing of fast-time and slow-time domains cannot be applied directly.We thus develop a first-order fast target recovery algorithm by exploiting the factorization of the proposed sensing matrix suitable for fast matrix-vector products.Numerical results validate the efficiency of the proposed system.
机译：本文通过快速时域的正交压缩采样（QuadCS）提出了一种高效的次奈奎斯特脉冲多普勒雷达系统.QuadCS是随机解调的带通变体，并通过使用随机码片信号将随机性插入测量矩阵中。传统的亚奈奎斯特雷达在所有脉冲重复间隔（PRI）中使用固定的测量矩阵，即系统的相同码片信号，我们在每个PRI中利用独立的码片信号，因此在相干的处理间隔中获得了一系列独立的测量矩阵理论分析表明，与固定测量相比，我们的系统可以进一步降低采样率或识别更多的目标。发射脉冲的数量是可交换的，从而为亚奈奎斯设计提供了更大的灵活性独立测量的主要挑战是不能直接应用快速域和慢时域的高效计算解耦处理，因此，我们通过利用提出的感测矩阵的分解来开发一阶快速目标恢复算法。数值结果验证了所提出系统的效率。

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