A simple upper bound on the error probability for orthogonal signals in white noise

Abstract

A simple upper bound on the error probability for the problem of optimum detection of M equal-energy equiprobable orthogonal signals in additive white Gaussian noise is derived. This new bound is always less than or equal to the union bound and is equally simple.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>