Optimal data transmission filters

A common requirement in the design of multilevel data transmission filters is to provide a relatively large impulse response at t= t_M and near-zero responses at t = t_M + k ( k = any integer), in order to minimize intersymbol interference. This paper gives an analytic design procedure for a realizable filter that meets this requirement in an optimal manner and also optimizes other frequency and time domain criteria. The results are then extended to handle nonimpulsive inputs (which includes nonideal channels).