What is range-Doppler coupling?
Slight Doppler mismatches for the LFM pulse do not change the general shape of the pulse and reduce the amplitude very little, but they do appear to shift the pulse in time. Thus, an uncompensated Doppler shift changes the target's apparent range; this phenomenon is called range-Doppler coupling.
What is range-Doppler map?
If a transmitter platform is stationary, a range-Doppler map shows a response from stationary targets at zero Doppler. For targets that are moving relative to the transmitter platform, the range-Doppler map shows a response at nonzero Doppler values.