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

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6.4 Performance Evaluation of BICM via Gaussian Approximations

Two major handicaps of the numerical integration we discussed at the end of Section 6.3.1 were removed in Sections 6.3.2 and 6.3.3. However, the problem of a direct connection between the PEP and the parameters of the constellation and/or labeling still remains. In order to solve this problem, in this section we use the simplified Gaussian forms for the PDF we derived in Section 5.5.

6.4.1 PEP Calculation using Gaussian Approximations

For c06-math-1293PAM and c06-math-1294PSK constellations labeled by the BRGC, we showed in Section 5.5 that we may use Gaussian functions to approximate the PDF of the L-values conditioned on the transmitted symbols. More specifically, for a given transmitted symbol c06-math-1295, we have

where c06-math-1297, c06-math-1298 and c06-math-1299 depend on the transmitted ...

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