THE EVALUATION OF ERROR PROBABILITIES FOR INTERSYMBOL AND COCHANNEL INTERFERENCE

An efficient series that can be used to calculate the probability of error in a binary symmetric channel with intersymbol interference and additive noise is derived. The series is derived by representing the noise complementary probability distribution function by an exact or approximate Fourier series. Bounds on the accuracy of the estimate are derived for Gaussian noise. Examples show that only a small numerical effort may be required to compute error probabilities of interest using the series. Applications to both finite and infinite intersymbol interference systems are discussed. A similar technique is used to derive series representations for the probability of error of additive noise channels with cochannel interference or with combined intersymbol and cochannel interferences. The accuracy of the results is bounded for Gaussian noise.