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/* Modeling an FMCW System with Triangular Chirp Modulation */
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In order to analyze the above results, zoom in the time axis and limit its scale to two intervals: [22&mu;s, 23&mu;s] during the up-ramp and [42&mu;s, 43&mu;s] during the down-ramp. The zoomed-in graphs are shown below. Read the periods of the output beat signal at the middle of these time intervals.
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Read the periods of the output beat signal at the middle of the two zoomed-in time intervals:
{| border="0"
| f<sub>bd</sub> = 8.103MHz
|}
 
From the two beat frequencies during the up-ramp and down-ramp, you can calculate the target range and its velocity:
<math> R = \frac{cT_s}{4B} \left( f_{bd} + f_{bu} \right) = \frac{(3\times 10^8)(25\times 10^{-6})}{4(20\times 10^6)} (8.103 + 7.905)\times 10^6 = 1500.75\text{m} </math>
<math> v_r = \frac{\lambda_0}{4} \left( f_{bd} - f_{bu} \right) = \frac{0.3}{4}(8.103 - 7.905)\times 10^6 = 14850\text{m/s} </math>
 
<p>&nbsp;</p>
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