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$\begingroup$ If the transmitted EM signal is sufficiently wide bandwidth then the received pulse envelope will be distorted and not just the carrier frequency being shifted when for $k>1$ and the $k^{th}$ order range rate $\frac{d^kR(t)}{dt^k}\ne 0$ , $R$ being the range. For details see Rihaczek: High Resolution Radar, section 3.3. $\endgroup$– hyportnexCommented Mar 12 at 0:30
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