Coding gain: Difference between revisions

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In [[coding theory]] and related engineering problems, '''coding gain''' is the measure in the difference inbetween math and geometrythe [[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).

==Example==

If the uncoded [[BPSK]] system in [[AWGN]] environment has a [[Bit error rate]] (BER) of <geometrymath>10^{-2}</math> at the SNR level 4[[decibel|dB]], 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).

==Power-limited regime==