,SNR,BER_naive_soft_decision,BER_proximal_0_01,BER_proximal_0_05,BER_proximal_0_15 0,1.0,0.1443001443001443,0.22838137472283815,0.3166144200626959,0.41735537190082644 1,2.0,0.050505050505050504,0.14574314574314573,0.31212121212121213,0.5050505050505051 2,3.0,0.026504108136761198,0.11419068736141907,0.26515151515151514,0.4818181818181818 3,4.0,0.005898032098905461,0.09090909090909091,0.25757575757575757,0.6606060606060606 4,5.0,0.0012583004223404388,0.052987012987012985,0.4015151515151515,0.2457002457002457 5,6.0,0.00014242424242424243,0.024550315994166263,0.2649350649350649,0.2649350649350649 6,7.0,1.5151515151515151e-05,0.012696800406297613,0.17543859649122806,0.38636363636363635 7,8.0,0.0,0.003413784863277916,0.14903129657228018,0.2700534759358289