Some Integrals Involving the (Q sub M)-Function

Abstract : The detection probability for a nonfading signal present on M multiple observations and subjected to a quadratic combination of receiver matched-filter outputs is given by the (Q sub M)-function. In the report, several integrals of the (Q sub M-function are evaluated that aid in computing the performance in fading channels; direct numerical integration of the (Q sub M)-function, which is time-consuming, is therefore circumvented. Numerical evaluation of (Q sub M) is considered in another paper.