Abstract
AbstractBased on the result of measurement of the balanced pair, the model for the amplitude distribution of the impulsive noise is derived and the optimization of the multilevel coding for the impulsive noise is discussed. It is shown first that in the multilevel coding proposed previously, the burst error is produced at the input of the error‐correcting decoder, even if the noise is random. An improvement by interleaving is proposed.Next, a theoretical approximate expression is derived for the error rate at the decoder output. This theoretical expression can be applied not only to the impulsive noise, but also to the noise with any amplitude distribution.Finally, using that expression, the error rate for various assignments of the error‐correcting capability to each level is calculated, and the assignment realizing the maximum coding gain is determined. It is shown that the coding gain of 22 dB is realized when the baseband 4‐level transmission is encoded into 8‐level transmission, and the BCH code of code length 31 is employed.
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