Cant find Doppler shift with LFM signal
The resulting spectrum appears to be your Doppler shift (possibly as a ratio to half the sampling rate, depending on what the horizontal axis on your plot represents). Without seeing all the processing that was done to generate the "Filtered Chirp Sequence" I cannot be certain but I assume it is a complex result from the subsequent plots, which would rotate in phase at the rate of the Doppler offset. To confirm this, run the test or simulation with known 0 Doppler or Clock offset and confirm that the resulting phase is constant from sample to sample.