G.gen.bis: Considerations About the Power Penalty of Reed-Solomon Forward Error Correction in ADSL Systems in Regard to the Use of Inner Encoders

Previous presentations (NF-084 and BM-087), provide theoretical and simulated results comparing the uncoded ADSL data stream with Reed-Solomon FEC, with Reed-Solomon plus Trellis and Reed-Solomon and multiple concatenated Convolutional Codes (MCCC). In these presentations, the power penalty when using Reed-Solomon was not taking into account, because it did not affect the presentations' conclusions, namely, that the use of inner coding, whether Trellis or MCCC, with Reed-Solomon provides better performance than the use of only Reed-Solomon. In this paper we present the mathematics for calculating the power penalty of error correction codes and apply this mathematics to Reed-Solomon FEC codes.

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