I am trying to form a range-doppler map using dechirped signals. I wanted know if there are any resources that provide and explain the steps taken to form the range-doppler map. If there are or you could provide a simple flowchart to form the range-doppler map that would be very helpful. Thank you!
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$\begingroup$ May I interest you in this answer? dsp.stackexchange.com/a/68368/26009 $\endgroup$– EnvidiaOct 27, 2022 at 2:21
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$\begingroup$ That helps, but i was also looking for the analytical development of the dechirpped signal in terms of fourier transform $\endgroup$– HariOct 27, 2022 at 5:02
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$\begingroup$ For a single pulse, the de-chirped single is a single sinusoid that has a frequency that directly depends on the range of the target. The post I linked shows how that time-domain signal is derived. Since the signal after de-chirping is a sinusoid, the Fourier transform of it is a delta at the frequency of interest. Now, if you want a complete description of how the range-Doppler map is formed analytically, that is a different story. However, my post shows how to form it from scratch, in which you should be able to determine what you need with a little work. $\endgroup$– EnvidiaOct 27, 2022 at 5:07
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$\begingroup$ @Envidia If the quadratic phase term is ignored/negligible then this is correct. In some systems it is not negligible and needs to be compensated. I also commented on you linked answer. $\endgroup$– DavidOct 27, 2022 at 12:19
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$\begingroup$ @Envidia Thank you I was able to work it out $\endgroup$– HariNov 1, 2022 at 7:15