Interpolatory quadrature rules and error rate of digital communication systems

A simple numerical technique is proposed for the construction of the estimate of integrals which represent the average error probability of many digital communication systems. Since these integrals are expressed as the expectation of some function of a random variable, their evaluation can be based on the knowledge of a number of moments of the variable. This is investigated from the viewpoint of discussing an algorithm based on interpolatory quadrature formulas which have equally spaced nodes. An example shows the satisfactory performance of the proposed approach.