,SNR,BER_naive_soft_decision,BER_proximal_0_01,BER_proximal_0_05,BER_proximal_0_15 0,1.0,0.24754901960784315,0.22747747747747749,0.21794871794871795,0.4473684210526316 1,2.0,0.14912280701754385,0.1736111111111111,0.22149122807017543,0.5952380952380952 2,3.0,0.10264227642276423,0.1650326797385621,0.18297101449275363,0.38768115942028986 3,4.0,0.04655493482309125,0.13797814207650272,0.12142857142857143,0.30864197530864196 4,5.0,0.012849872773536896,0.0713276836158192,0.0992063492063492,0.2838541666666667 5,6.0,0.0039773596450971395,0.049019607843137254,0.0713276836158192,0.31896551724137934 6,7.0,0.0006498739244586551,0.016037735849056604,0.0508130081300813,0.22008547008547008 7,8.0,8.888888888888889e-05,0.008341675008341674,0.014098269123394751,0.1778846153846154