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The error rate or the probability of error is an important parameter in the design of digital communication systems. In this paper a Gram-Charlier expansion is used to compute the error rate in the presence of intersymbol interference and additive Gaussian noise. The method presented is very useful for numerical computations. We also present expressions for the truncation errors. Rigorous proofs are presented in the Appendix.
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Shimbo et al. (1971) studied this question.
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