Optimal Pulse Transmission Criterion and Its Application to Pulse Networks Design

A criterion of optimal pulse transmission (OPT) for the design of pulse or ultra-wideband (UWB) networks is presented. The OPT is achieved when the normalized Euclid distance (NED) of the outgoing signal and the excitation signal arrives at its minimum, and thus, it comprehensively takes the shape distortion as well as the amplitude modification into account. Consequently, it can be regarded as a generalization of the traditional amplitude-oriented maximum power transmission (MPT) criterion for the sinusoidal or narrowband networks to the pulse or UWB cases. A matching network is provided as an example for giving more insight into the OPT criterion and its usage. For a Gaussian input pulse ranging from dc to 20 GHz, the fidelity and NED are 0.8871 and 0.5189 for the network designed using the OPT criterion. The simulated and measured results demonstrate the features and advantages of the OPT criterion compared with the MPT criterion.