Quadrature Compressive Sampling for Radar Signals

Quadrature Compressive Sampling for Radar Signals
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雷达信号的正交压缩采样

DOI:
10.1109/tsp.2014.2315168
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发表时间:
2014-01
影响因子:
5.4
通讯作者:
Liu, Zhong
Liu, Zhong
中科院分区:
工程技术1区
文献类型:
--
作者:
Xi, Feng;Chen, Shengyao;Liu, Zhong

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正交采样在相干雷达系统中被广泛应用,以提取接收到的雷达信号中的同相和正交(I和Q)分量。然而,采样是低效的,因为所接收的信号仅包含少量的有效目标信号。将压缩采样(CS)理论引入正交采样系统的设计中,设计了一种正交压缩采样(QuadCS)系统,实现了低采样率下I、Q分量的采集。QuadCS系统首先将接收到的信号随机地投影成压缩带通信号,然后利用正交采样来输出压缩I和Q分量。压缩输出用于重建I和Q分量。为了理解系统性能,我们建立了QuadCS系统的频域表示。利用波形匹配字典,我们证明了QuadCS系统以压倒性的概率满足约束等距性。对于观测间隔T中的K个目标信号,仿真表明QuadCS仅需要O(Klog(BT/K))个样本来稳定地重建信号,其中B是信号带宽。对于目标数目K中的每一个倍频程增加,重建的信噪比降低3dB,并且对于压缩带宽中的每一个倍频程增加,重建的信噪比增加3dB。理论分析和仿真结果表明,该系统是一种有效的雷达信号I、Q分量提取系统。
Quadrature sampling has been widely applied in coherent radar systems to extract in-phase and quadrature ( I and Q) components in the received radar signal. However, the sampling is inefficient because the received signal contains only a small number of significant target signals. This paper incorporates the compressive sampling (CS) theory into the design of the quadrature sampling system, and develops a quadrature compressive sampling (QuadCS) system to acquire the I and Q components with low sampling rate. The QuadCS system first randomly projects the received signal into a compressive bandpass signal and then utilizes the quadrature sampling to output compressive I and Q components. The compressive outputs are used to reconstruct the I and Q components. To understand the system performance, we establish the frequency domain representation of the QuadCS system. With the waveform-matched dictionary, we prove that the QuadCS system satisfies the restricted isometry property with overwhelming probability. For K target signals in the observation interval T, simulations show that the QuadCS requires just O(Klog(BT/K)) samples to stably reconstruct the signal, where B is the signal bandwidth. The reconstructed signal-to-noise ratio decreases by 3 dB for every octave increase in the target number K and increases by 3 dB for every octave increase in the compressive bandwidth. Theoretical analyses and simulations verify that the proposed QuadCS is a valid system to acquire the I and Q components in the received radar signals.
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