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The ambiguity problem in forward-looking Doppler beam sharpening is considered. Doppler beam sharpening (DBS) has shown its potential to improve cross-range resolution for automotive radar applications. However, it suffers from ambiguities when targets are positioned symmetrically with respect to the vehicle trajectory. A new approach named 'Robust Unambiguous DBS with Adaptive Threshold' (RUDAT) is proposed to address the problem of ambiguities. It combines DBS with multiple-input-multiple-output (MIMO) radar processing, and is robust to non-ideal movements of the vehicle and fluctuations in the targets' reflectivity. The performance of the proposed method is compared to existing approaches using simulated data with point-like and extended targets, demonstrating good preliminary results.