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A Simple Example With a Single Chirp Component

In this first example, we allow an object to fall onto a small radar unit. The resulting Time-Frequency distribution is shown as a contour plot in Fig. 8(a).

 
 

Figure: FIGURE GOES SOMEWHERE IN THIS GENERAL VICINITY

We extract the portion of the recorded data which contains the object when it is in free fall (from the time after it was released, to just before the time it hit the radar horn). From this portion of the time series (the corresponding TF distribution appears in Fig. 8(b)), we compute the FF-plane through the CCT, which is simply a correlation between the signal and a family of chirplets parameterized in terms of beginning and ending frequencies. Its density plot appears as an image in Fig. 9.

  
Figure: FIGURE GOES SOMEWHERE IN THIS GENERAL VICINITY

The response has a very high peak, as evidenced from Fig. 10.

  
Figure: FIGURE GOES SOMEWHERE IN THIS GENERAL VICINITY