Pan Xi, Xiang Chengyong, Liu Shouliang, Yan Shuo
School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China.
Beijing Research Institute of Telemetry, Beijing 100076, China.
Sensors (Basel). 2019 Jul 19;19(14):3176. doi: 10.3390/s19143176.
A time-domain ranging algorithm is proposed for a frequency-modulated continuous wave (FMCW) short-range radar sensor with high accuracy and low complexity. The proposed algorithm estimates the distance by calculating the ratio of the beat frequency signal to its derivative and thereby eliminates the restriction of frequency bandwidth on ranging accuracy. Meanwhile, we provide error analysis of the proposed algorithm under different distances, integral lengths, relative velocities, and signal-to-noise ratios (SNRs). Finally, we fabricate FMCW sensor prototype and construct a measurement system. Testing results demonstrate that the proposed time-domain algorithm could achieve range error within 0.8 m. Compared with the conventional fast Fourier transform (FFT) estimation scheme, the proposed method performs ranging without the requirement of complex multiplications, which makes it reasonable to be implemented in real-time and low-cost systems.
针对一种高精度、低复杂度的调频连续波（FMCW）短程雷达传感器，提出了一种时域测距算法。该算法通过计算拍频信号与其导数的比值来估计距离，从而消除了频率带宽对测距精度的限制。同时，我们给出了该算法在不同距离、积分长度、相对速度和信噪比（SNR）下的误差分析。最后，我们制作了FMCW传感器原型并构建了一个测量系统。测试结果表明，所提出的时域算法能够实现0.8米以内的测距误差。与传统的快速傅里叶变换（FFT）估计方案相比，该方法在测距时无需复杂乘法运算，这使得它在实时和低成本系统中实现具有合理性。
