Phase modulated continuous wave (PMCW) radar is an attractive choice for automotive sensing due to its high dynamic range, interference robustness, and support for integrated communication and sensing. In multiple-input multiple-output (MIMO) PMCW radar, code division multiplexing (CDM) separates transmit signals, but non-ideal auto- and cross-correlation properties increase range sidelobes and degrade dynamic range. This paper proposes a Doppler-compensated space-time coding (STC)-based MIMO PMCW radar framework that separates transmit signals before range correlation, eliminating cross-correlation terms under perfect compensation and allowing the same binary sequence to be used across transmit antennas. The Doppler influence on STC decoding is analytically characterized, showing that chip-wise and inter-STC-slot phase distortions increase range sidelobes and generate ghost components in the direction-of-arrival (DOA) spectrum. To mitigate these effects, Doppler is estimated first, followed by joint fast-time and STC-slot compensation before decoding. Residual STC leakage under imperfect Doppler estimation is quantified, and the processing is extended to multiple moving targets through Doppler-bin-dependent compensation. Theoretical analysis and simulation results demonstrate reduced range sidelobes and suppression of DOA ghosts, while maintaining flexibility in code sequence design.

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