Optimal energy transfer in band-limited communication channels

Maximization of the energy transfer ratio for timelimited signals over linear channels is considered. The case of linear channels with rational transfer function is addressed and a general procedure for the analytic solution of the maximization problem is outlined. The maximum energy transfer ratio over a fixed time interval is evaluated in some cases of interest. Two performance metrics—the energy transfer ratio and the energy intersymbol interference (ISI) ratio—are evaluated for optimal signals and compared to those of commonly used rectangular and sinusoidal pulses in order to determine the achievable gain.