利用FMCW信号和拉伸处理接收机识别线性时不变系统

S. Häfner, Reiner Thomä
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引用次数: 1

摘要

研究了线性时不变(LTI)系统的特殊观测器辨识问题。发射调频连续波(FMCW)信号并具有拉伸处理器作为接收器的观测器将被考虑用于系统识别。将给出任意LTI系统的采集基带信号的彻底推导。结果表明,接收信号近似地由LTI系统在FMCW信号的频率扫描上的传递函数给出。该证明依赖于发射信号的无限大时间带宽乘积,因此在有限时间带宽乘积的实际应用中仍然存在误差。进行蒙特卡罗模拟以验证近似值,并量化其准确性和剩余误差。这些发现对于例如FMCW雷达应用中的设备模型的校准或推导是重要的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Identification of Linear Time Invariant Systems Using FMCW Signals and Stretch Processing Receivers
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.
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