Doppler Frequency Estimation Method Based on Chinese Remainder Theorem with Spectrum Correction
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摘要: 脉冲多普勒(PD)雷达能够检测目标多普勒频率和有效抑制杂波，该优势使得PD雷达得到了广泛应用。但速度模糊的存在，往往对PD目标检测带来困难。该文紧密结合PD雷达体制的特点，在基于PD雷达参差重频模式下，提出一种基于全相位离散傅里叶变换(DFT)相位差频谱校正的最优余数封闭式鲁棒中国余数定理(CFRCRT)的多普勒频率估计算法。理论分析和仿真实验表明该文算法在测量精度和实时性能上可以满足工程上应用的需求。Abstract: It makes the Pulse Doppler (PD) radar widely applied that the PD radar has the obvious advantages of detecting the Doppler frequency of the target and suppressing the clutter effectively. However, it is difficult for the PD radar to detect the target due to velocity ambiguity. Combining with the characteristic and stagger-period model of the PD radar, a Doppler frequency estimation method based on all phase DFT Closed-Form Robust Chinese Remainder Theorem (CFRCRT) with spectrum correction is proposed. Both theoretical analysis and simulation experiment demonstrate that the proposed method can satisfy the engineering demand in measure accuracy and real-time performance.
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表 1 基于谱校正的中国余数定理的方案测量结果(Hz)
$F$ ${\hat f_{{\rm{r}}1}}$ 余数理论值 ${\hat f_{{\rm{r}}2}}$ 余数理论值 ${\hat f_{{\rm{r}}3}}$ 余数理论值 $\Delta F\;$ ${\rm{5}}{\rm{.5122}} \times {\rm{1}}{{\rm{0}}^{\rm{3}}}$ ${\rm{512}}{\rm{.60}}$ $512$ ${\rm{5512}}{\rm{.65}}$ $5512$ ${\rm{5512}}{\rm{.90}}$ $5512$ ${\rm{1}}.57 \times {\rm{1}}{{\rm{0}}^{{\rm{ - 1}}}}$ $512.58$ $5512.57$ $5512.58$ $1.66 \times {10^{ - 1}}$ $515.04$ $5516.01$ $5516.97$ $3.41 \times {10^0}$ ${\rm{3}}{\rm{.1157}} \times {\rm{1}}{{\rm{0}}^{\rm{5}}}$ $1569.27$ $1570$ $3569.69$ $3570$ $5569.80$ $5570$ $2.03 \times {10^{ - 2}}$ $1568.72$ $3568.70$ $5568.95$ $4.99 \times {10^{ - 2}}$ $1574.25$ $3566.42$ $5574.39$ $8.42 \times {10^{ - 1}}$ 
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