An Upper Bound for Error-Pattern Probabilities for Digital Transmission by PAM

This paper presents an upper bound on error-pattern probabilities for digital pulse-amplitude modulation transmission in a bandrestricted and additive white noise environment. The bound involves the computation of exponential and hyperbolic cosine functions. For two examples from the literature it yields a result that is an improvement on previously known results. For the case of double errors it is not as restrictive as a recently published bound.