Figure 1
A chirp cycle time schematic showing T X timing, A D C sampling, frequency ramp, and T X and R X chirp plots”.The schematic diagram shows a multi-panel layout describing chirp timing and frequency behavior”. On the left, a horizontal timeline, labeled “a”, shows “Chirp Cycle Time” with a double-headed arrow spanning the full width”. Six vertical dashed lines are present labeled, from left to right, “Turn Off T X”, “Turn On T X”, “Ramp Start”, “Start A D C Sampling”, “End A D C Sampling”, and “Ramp End”. A wavy signal labeled “Frequency Start” begins at the far left, declines, constant, rises steeply, and ends at the far right. Below this between “Start A D C Sampling” and “End A D C Sampling”, a dotted horizontal line appears with a short curvy upward arrow indicating angle labeled “Frequency Slope”. A double-headed arrow labeled “Idle Time” spans “Turn Off T X” and “Ramp Start”. A right arrow labeled “A D C Valid Start Time” spans “Ramp Start” and “Start A D C Sampling”. A right arrow labeled “A D C Sampling Time” spans “Start A D C Sampling” and “End A D C Sampling”. A right arrow labeled “Ramp End Time” spans “Ramp Start” and “Ramp End, aligned with the numeric text “0” appears at the start of the ramp”. A left arrow labeled “T X Start Time” spans “Ramp Start” and “Turn on T X”. A double-headed arrow at the bottom labeled “Transmitter is O N” spans “T X Start Time” and “Ramp End”. On the right, two vertically stacked plots, is labeled “b”. The vertical axis is labeled “f”, and the left-side label reads “S subscript tau”. The horizontal axis is labeled “t”. In the upper plot, a rising diagonal line is labeled “T X chirp”, and a second rising diagonal line offset to the right is labeled “R X chirp”. A horizontal double-headed arrow between two vertical dashed lines is labeled “T subscript c”. In the lower plot, a left horizontal arrow is labeled “I F signal”. A double-headed horizontal arrow near the origin is labeled “tau” in both.

(a) Linear chirp signal profile and (b) beat frequency (IF signal), equal to Sτ. Source: https://www.ti.com/lit/an/swra553a/swra553a.pdf?ts=1690741218091

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