Abstract :
A method is presented for the derivation of an upper bound to the probability of error in multiphase coherent phase-shift-keyed (c.p.s.k.) systems with intersymbol interference and additive Gaussian noise. The method uses the union-bounding technique, in conjunction with a series-expansion method, and also simple bounds to the moments of the interference terms. The bound is general in application and fairly simple to compute. To illustrate its efficacy, the bound is computed for a specific case of practical interest, and is graphically compared with measures of the error performance derived by other methods. A plot is also presented that demonstrates the rate of convergence of the power series, representing the bound.
