Researchers have recently developed radar systems capable of exploiting non-linear target responses to precisely locate targets in range. These systems typically achieve the bandwidth necessary for range resolution through transmission of either a stepped-frequency or chirped waveform. The second harmonic of the reflected waveform is then analyzed to isolate the non-linear target response. In other experiments, researchers have identified certain targets through the inter-modulation products they produce in response to a multi-tone stimulus. These experiments, however, do not exploit the phase information available in the inter-modulation products.We present a method for exploiting both the magnitude and phase information available in the inter-modulation products to create an "instantaneous" stepped frequency, non-linear target response. The new approach enables us to both maintain the unambiguous range dictated by the fundamental, multi-tone separation and obtain the entire target signature from a single transmitted waveform.
IntroductionSeveral organizations have considered the application of radar to the problem of detecting electronic devices in secured areas. One approach envisions the use of portals to detect the unwanted devices before individuals can carry them into the restricted area [1]. Other approaches consider the use of radar to detect the objects at greater distances, thereby eliminating the need for a portal [2,3]. In both cases, however, the detection systems exploit a target device's non-linear, harmonic responses to a specific transmitted waveform [4,5]. Since natural objects fail to produce this non-linear response, these new systems offer the opportunity to dramatically reduce the number of false alarms generated at a desired detection probability. They accomplish this through analysis of the complex magnitude of harmonics and inter-modulation (intermod) products produced by the target. In what follows we restrict our attention to only non-linear radar systems that are capable of detecting targets at a distance.While earlier magnitude-based non-linear target detectors leverage harmonic responses-including intermod products-to reduce the number of false alarms, they fail to leverage the phase information also available in those harmonics and intermod products. If this additional information could be captured, then it should be possible to measure the range to the target. In particular, if the phase information could be recorded for intermod products from many regularly spaced frequencies (i.e. a multi-tone system), then it would be possible to create an "instantaneous" stepped-frequency waveform in the receive band (i.e. the harmonic band) of the radar. That is, by considering all of the intermod products of order p, it would be possible to simultaneously measure all of the frequency samples required by a stepped frequency radar system (at the expense of introducing a larger system bandwidth). These intermod products would occur around integer multiples of the transmitted frequencies-integer...