A method, system, and non-transitory computer-readable recording medium of decoding a signal are provided. The method includes receiving signal to be decoded, 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) and a path metric are determined for each possible path for each at least one bit at each stage; determining magnitudes of the LLRs; identifying K bits of the signal with smallest corresponding LLR magnitudes; identifying, for each of the K bits, L possible paths with largest path metrics at each decoder stage for a user-definable number of decoder stages; performing forward and backward traces, for each of the L possible paths, to determine candidate codewords; performing a Cyclic Redundancy Check (CRC) on the candidate codewords; and stopping after a first candidate codeword passes the CRC.

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 L.sub.APP; performing Cyclic Redundancy Check (CRC) on L.sub.APP, and stopping if L.sub.APP passes CRC; otherwise, determining magnitudes of LLRs in L.sub.APP; identifying K LLRs in L.sub.APP with smallest magnitudes and indexing K LLRs as r={r(1), r(2), . . . , r(K)}; setting L.sub.max to maximum magnitude of LLRs in L.sub.APP or maximum possible LLR quantization value; setting v=1; generating {tilde over (L)}.sub.A(r(k))=L.sub.A(r(k))L.sub.maxv.sub.ksign[L.sub.APP(r(k))], for k=1, 2, . . . , K; decoding with {tilde over (L)}.sub.A to identify {tilde over (L)}.sub.APP, wherein {tilde over (L)}.sub.APP is LLR vector; and performing CRC on {tilde over (L)}.sub.APP, and stopping if {tilde over (L)}.sub.APP passes CRC or v=2.sup.K-1; otherwise, incrementing v and returning to generating {tilde over (L)}.sub.A(r(k)).

A method, system, and non-transitory computer-readable recording medium of decoding a signal are provided. The method includes receiving signal to be decoded, 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) and a path metric are determined for each possible path for each at least one bit at each stage; determining magnitudes of the LLRs; identifying K bits of the signal with smallest corresponding LLR magnitudes; identifying, for each of the K bits, L possible paths with largest path metrics at each decoder stage for a user-definable number of decoder stages; performing forward and backward traces, for each of the L possible paths, to determine candidate codewords; performing a Cyclic Redundancy Check (CRC) on the candidate codewords; and stopping after a first candidate codeword passes the CRC.

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 L.sub.APP; performing Cyclic Redundancy Check (CRC) on L.sub.APP, and stopping if L.sub.APP passes CRC; otherwise, determining magnitudes of LLRs in L.sub.APP; identifying K LLRs in L.sub.APP with smallest magnitudes and indexing K LLRs as r={r(1), r(2), . . . , r(K)}; setting L.sub.max to maximum magnitude of LLRs in L.sub.APP or maximum possible LLR quantization value; setting v=1; generating {tilde over (L)}.sub.A(r(k))=L.sub.A(r(k))L.sub.maxv.sub.ksign[L.sub.APP(r(k))], for k=1, 2, . . . , K; decoding with {tilde over (L)}.sub.A to identify {tilde over (L)}.sub.APP, wherein {tilde over (L)}.sub.APP is LLR vector; and performing CRC on {tilde over (L)}.sub.APP, and stopping if {tilde over (L)}.sub.APP passes CRC or v=2.sup.K-1; otherwise, incrementing v and returning to generating {tilde over (L)}.sub.A(r(k)).

A method and system for decoding a signal are provided. The method includes receiving a signal, where the signal includes at least one symbol; decoding the signal in stages, where each at least one symbol is decoded into at least one bit per stage, wherein a Log-Likelihood Ratio (LLR) and a path metric are determined for each possible path for each at least one bit at each stage; determining the magnitudes of the LLRs; identifying K bits of the signal with the smallest corresponding LLR magnitudes; identifying, for each of the K bits, L possible paths with the largest path metrics at each decoder stage for a user-definable number of decoder stages; performing forward and backward traces, for each of the L possible paths, to determine candidate codewords; performing a Cyclic Redundancy Check (CRC) on the candidate codewords, and stopping after a first candidate codeword passes the CRC.

A method for decoding a received code using a device that includes: an antenna for receiving a signal over a wireless channel, and instances of a Maximum-A-Posteriori (MAP) turbo decoder for decoding a segment of the received code, are disclosed. For example, the method, by forward and backward gamma engines, for each window, concurrently computes gamma branch metrics in forward and backward directions, respectively, by forward and backward state metric engines comprising respective lambda engines and coupled to the respective gamma engines, for each window, sequentially computes forward and backward state metrics, respectively, based on respective gamma branch metrics and respective initial values, by the lambda engines, determines Log Likelihood Ratios (LLRs) and soft decisions, and by a post-processor, computes extrinsic data based on the forward and backward state metrics for any subsequent iteration as at least a portion of the a-priori information and otherwise provides a decoded segment.