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In wireless communications, the channel has a known manifold structure due to the sensor array response, pulse-shaping function, and sampling phase. By exploiting this information, the method presented in this article achieves improved performance over unstructured blind channel estimation schemes. The approach is subspace-based, and can take advantage of multiple channel estimates if available, e.g., from different time slots in TDMA systems. Its performance is numerically simulated and compared against the original unstructured channel subspace method.