A Novel sinc Interpolation for Continuous PRF Sampled Sequences Reconstruction in Spotlight SAR
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摘要: 该文针对周期性变PRF采样高分辨率聚束模式合成孔径雷达(SAR)提出了一种改进的两步成像算法。变脉冲重复频率(PRF)设计可解决固定盲区等问题,是解决星载SAR高分宽幅矛盾的一种有效手段,但变PRF采样会引起频谱混叠和虚假目标等问题。该文从离散非均匀傅里叶变换原理出发,推导改进sinc插值核函数并建立了时域-时域的回波重建方法,将变PRF采样回波重构为均匀采样回波。此外将改进sinc插值与两步式成像算法结合,据此发展出针对非均匀采样回波的改进两步式聚束SAR成像算法,拓展了传统两步式成像算法的使用范围。仿真数据和实际数据处理结果验证了成像算法的有效性和精确性,并且改进sinc插值具备更高的计算效率。Abstract: This paper focuses on an improved imaging-algorithm for the spotlight Synthetic Aperture Radar (spotlight SAR) with continuous Pulse Repetition Frequency (PRF) variation in extremely high-resolution imaging-process. PRI variation is conventionally employed to resolve the problem of fixed blind ranges as well as the conflict of high-resolution and wide-swath; however, there are problems such as spectrum aliasing and ambiguous targets caused by nonuniform sampling. In this study, a novel sinc interpolation method is proposed to reconstruct a uniformly sampled signal from non-uniform Fourier Transform samples. Then a two-step processing approach combined with the novel sinc interpolation method is presented in the process of non-uniformly sampled echo imaging. The simulation proves the validity and accuracy of the proposed imaging algorithm. In addition, the computational cost of the novel sinc interpolation is further reduced compared to that of non-uniform Fourier transformation.
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Key words:
- Spotlight SAR /
- Modified sinc-interpolation /
- PRF Variation /
- High resolution /
- Wide swath
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表 1 快变慢变仿真参数
Table 1. SAR parameters of two types of PRI variation
参数 值 视角(°) 49 慢变PRF变化范围(Hz) 3243~3355 快变PRF变化范围(Hz) 3243~5964 方位向瞬时多普勒带宽(Hz)* 2703 方位向总带宽(Hz)** 72703 脉冲持续时间(μs) 30 慢变序列的一周期内脉冲数量 110 快变序列的一周期内脉冲数量 64 方位向分辨率 0.1 成像场景宽度(km) 8 *表示聚束成像模式中的方位向瞬时带宽,**表示聚束成像模式中的方位向总带宽,即瞬时带宽与场景固定带宽之和 表 2 计算量对比
Table 2. Complexity of calculation
算法 乘法运算量 加法运算量 总运算量 NUDFT Na 2 Na(Na–1) Na(2Na–1) 改进sinc插值 NaL Na(L–1) Na(2L–1) 表 3 虚假电平指标测量结果
Table 3. Estimation of false targets level
PRF变化方式 算法 近距目标(dB) 中距目标(dB) 远距目标(dB) 慢变PRF 传统两步式成像算法 –20.56 –48.44 –22.11 两步式成像结合NUDFT –71.56 –72.91 –72.57 两步式成像结合sinc插值 –49.38 –50.17 –49.87 两步式成像结合改进sinc插值 –67.22 –66.89 –71.61 快变PRF 传统两步式成像算法 –12.33 –31.98 –12.04 两步式成像结合NUDFT –54.03 –54.25 –54.57 两步式成像结合sinc插值 –26.05 –26.11 –26.02 两步式成像结合改进sinc插值 –56.48 –53.36 –54.95 -
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