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Bit-Interleaved Coded Modulation: Fundamentals, Analysis and Design by Alex Alvarado, Leszek Szczecinski

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6.2.4 BICM Decoder

The decoding metric in (6.129) for the BICM decoder is defined in (3.22), and thus,

6.183 equation

where

6.184 equation
6.185 equation

The PEP in (6.139) is then calculated as

6.186 equation
6.188 equation

where c06-math-0659 are the random variables modeling the L-values c06-math-0660, c06-math-0661 was expressed as c06-math-0662, and where, because of the linearity of the code, the error codeword c06-math-0663 satisfies .

For any such that (i.e., when ), the L-values do ...

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