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The main problem of a conventional digital on channel repeater (DOCR) is that its performance is significantly degraded by the inverse operation when the channel has a deep null. Moreover, for the stable operation, conventional DOCR requires additional parts such as the minimum phase filter and the all pass filter, which increase the hardware complexity. To overcome these undesirable effects, we propose a novel DOCR structure which is simple yet robust to frequency nulls based on sample matrix inversion (SMI) method. Simulation results show that the proposed DOCR has a similar performance with the conventional DOCR in favorable channel conditions while it has a better performance than that of the conventional one when the channel has a deep null .