“…The recent research progress on UWA channel estimation [2][3][4][5][6][7] has demonstrated that sparse channel estimation, which exploits the inherent sparsity in UWA channels, leads to better receiver * Correspondence to: Department of Electrical and Computer Engineer- decoding performance than the conventional least-squares (LS) based channel estimation. For block transmissions in UWA environments, different channel models have been explored for channel estimation, see e.g., [2,3,6,8,9]. Consider a block transmission with the channel outputs collected in a vector z and the channel unknown parameters collected in a vector x.…”