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According to the multipath characteristics of a low-voltager power line carrier communication(LV-PLC) channel, orthogonal frequency division multiplexing and compressed sensing channel estimation model are introduced, the paper transforms the channel estimation into the reconstruction of sparse signal without the information of the sparsity in compressed sensing. We proposed sparsity adaptive matching pursuit (SAMP)method to reconstruct of low voltage power line carrier communication multipath channel impulse response for the first time. Simulation results show that compared with other common channel estimation algorithms, the proposed compressed sensing channel estimation algorithm in spectrum utilization and estimation performance has significantly improved than the traditional methods.