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Matched-Filter Responses of the Linear FM Waveform

机译：线性FM波形的匹配滤波器响应

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摘要

Although the properties of the linear FM signal have been studied previously in considerable detail, such studies have involved rather narrow aspects of the theory. This paper extends the work in several respects. By presenting three-dimensional projections of the conventional ambiguity function of the linear FM signal in more detail than was available before, we can study the sidelobe behavior off as well as on the axes, without weighting, with unilateral weighting in the receiver, and with bilateral weighting. These plots reveal interesting properties related to the signal symmetry in time and frequency. The matched-filter response is then extended to include Doppler distortions of the modulation function. The results show that Woodward's ambiguity function is valid only for signals with relatively modest sophistication, even though in most practical situations one is interested only in those undistorted parts of the matched-filter response in the vicinity of the delay axis. Plots of the response are presented for various degrees of distortion, for signals with and without weighting. Lastly, we consider the effects of a mismatch in range acceleration, again for the various cases of interest. The results convey a thorough insight into the properties of chirp radar under a broad range of operational conditions.
机译：尽管以前已经对线性FM信号的特性进行了相当详细的研究，但此类研究涉及理论的狭窄方面。本文在几个方面进行了扩展。通过比以前更详细地呈现线性FM信号常规模糊函数的三维投影，我们可以研究旁瓣和旁瓣的行为，而无需进行加权，在接收机中进行单边加权以及双边加权。这些图揭示了与时间和频率上的信号对称性有关的有趣特性。然后将匹配滤波器的响应扩展到包括调制函数的多普勒失真。结果表明，伍德沃德的模糊函数仅对相对适度的信号有效，即使在大多数实际情况下，人们仅对延迟轴附近的匹配滤波器响应的那些未失真部分感兴趣。对于具有和不具有加权的信号，给出了针对各种失真程度的响应曲线。最后，我们再次针对各种感兴趣的情况，考虑了距离加速度不匹配的影响。结果传达了对chi雷达在各种运行条件下的性能的透彻了解。

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