A novel complex flat fading channel estimation scheme is proposed. Contrarily to previous schemes in the literature, this new approach is not based on introducing pilot sequences, but on reducing the  interference caused by the information-bearing signal on the estimation-aiding signal by using Dirty Paper Coding.  We show through simulations that our method outperforms the  Partially-Data Dependent scheme, which is a state-of-the-art technique based on superimposed pilots.