Identification of Linear Time Invariant Systems Using FMCW Signals and Stretch Processing Receivers
Identification of Linear Time Invariant Systems Using FMCW Signals and Stretch Processing Receivers
复制标题
使用 FMCW 信号和拉伸处理接收器识别线性时不变系统
DOI：
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
Reiner Thomä
中科院分区：
文献类型：
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作者：
Stephan Häfner;Reiner Thomä
研究线性时不变(LTI)系统的特殊观测器辨识问题。发射调频连续波(FMCW)信号并使用拉伸处理器作为接收器的观测者将被认为是用于系统识别的。对任意LTI系统的基带信号进行了详细的推导。结果表明，接收信号近似由LTI系统在FMCW信号的扫频范围内的传递函数给出。证明依赖于传输信号的无限大的时间带宽乘积，使得误差在有限时间带宽乘积的实际应用中仍然存在。进行了蒙特卡罗模拟，以验证该近似，并量化其精度和剩余误差。这些结果对于例如在FMCW雷达应用中的器件模型的校准或推导具有重要意义。
The paper deals with the identification of linear time invariant (LTI) systems by a special observer. An observer emitting an frequency modulated continuous wave (FMCW) signal and having a stretch processor as receiver will be considered for system identification. A thorough derivation of the gathered baseband signal for arbitrary LTI systems will be given. It is shown, that the received signal is approximately given by the transfer function of the LTI system over the frequency sweep of the FMCW signal. The proof relies on an infinite large time-bandwidth product of the transmit signal, such that errors remain in practical applications with a finite time-bandwidth product. Monte–Carlo simulations are conducted to verify the approximation and to quantify its accuracy and remaining errors. The findings are important for e.g. calibration or derivation of a device model in FMCW radar applications.