High Quality Content by WIKIPEDIA articles! In coding theory and related engineering problems, coding gain is the measure in the difference between the signal to noise ratio (SNR) levels between the uncoded system and coded system required to reach the same bit error rate (BER) levels when used with the error correcting code (ECC).If the uncoded BPSK system in AWGN environment has a Bit error rate (BER) of 10 ? 2 at the SNR level 4dB, and the corresponding coded (e.g., BCH) system has the same BER at an SNR level of 2.5dB, then we say the coding gain = 4dB-2.5dB = 1.5dB, due to the code used (in this case BCH).In the bandwidth-limited regime (? > 2b / 2D, i.e. the domain of non-binary signaling), the effective coding gain ?eff(A) of a signal set A at a given target error rate Ps(E) is defined as the difference in dB between the SNRnorm required to achieve the target Ps(E) with A and the SNRnorm required to achieve the target Ps(E) with M-PAM or (MxM)-QAM (i.e. no coding).

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