Upper Bound on Error Probability for Detection With Unbounded Intersymbol Interference

We consider the situation where a data sequence a0, · · ·, a^-i of ± l ' s is transmitted via pulse amplitude modulation as Y,k=ol h(t -- kT)ak and received in the presence of additive white gaussian noise with onesided spectral density a 2 . In a recent series of papers, Forney, 1 Foschini, 2 and Mazo 3 developed an asymptotic (as 0) upper bound on the error probability per data bit P e : (1)