Method for decoding signal includes receiving signal, where signal includes at least one symbol; decoding signal in stages, where each at least one symbol of signal is decoded into at least one bit per stage, wherein Log-Likelihood Ratio (LLR) for each at least one bit at each stage is determined, and identified in vector LAPP; performing Cyclic Redundancy Check (CRC) on LAPP, and stopping if LAPP passes CRC; otherwise, determining magnitudes of LLRs in LAPP; identifying K LLRs in LAPP with smallest magnitudes and indexing K LLRs as r={r(1), r(2), . . . , r(K)}; setting Lmax to maximum magnitude of LLRs in LAPP or maximum possible LLR quantization value; setting v=1; generating {tilde over (L)}A(r(k))=LA(r(k))−Lmaxvksign[LAPP(r(k))], for k=1, 2, . . . , K; decoding with {tilde over (L)}A to identify {tilde over (L)}APP, wherein {tilde over (L)}APP is LLR vector; and performing CRC on {tilde over (L)}APP, and stopping if {tilde over (L)}APP passes CRC or v=2K-1; otherwise, incrementing v and returning to generating {tilde over (L)}A(r(k)).