SOME NEW TWISTS TO PROBLEMS INVOLVING THE GAUSSIAN PROBABILITY INTEGRAL

Using an alternate form of the Gaussian probability integral discovere d a number of years ago, it is shown that the solution to a number of previously considered communication problems fan be simplified and,in some casts, made more accurate (i.e., exact rather than bounded). Thes e problems include the evaluation of: 1) bit-error probability of unco ded phase-shift keying (PSK) with Costas loop tracking; 2) word-error probability of antipodal modulation in the presence of fading; 3) bit- error probability of coded M-ary PSK (MPSK) over the memoryless fading channel with given channel-state information; 4) conditional symbol-e rror probability of MPSK in the presence of carrier synchronization er ror; and 5) average error probability for the binary additive white Ga ussian noise (AWGN) intersymbol interference channel, Also obtained is a generalization of this new alternate form to the case of a two-dime nsional Gaussian probability integral with arbitrary correlation which can be used to evaluate the symbol-error probability of MPSK with I-Q unbalance.