Upper bounds on the probability of error for M-ary orthogonal signaling in white Gaussian noise

摘要

The optimum detection of M orthogonal equiprobable equal-energy signals in additive white Gaussian noise is considered, and two upper bounds for the probability of error are derived. The behavior of these bounds is discussed and they are compared with previously known bounds for various values of signal-to-noise ratio and M. Some numerical results are presented.