An optimization of a voltage pulse excitation in a UWB radio system

The parameter energy link loss between the source of the transmitter and the load of the receiver is used to evaluate the performance of a ultrawideband (UWB) radio system. The rigorous calculation of the link loss in a UWB system requires a complicated full transient solution for the transmit and receive antennas. However, after involving suitable approximations, the optimization problem is converted to finding a maximum generalized eigenvalue problem. For the special cases of two similar small antennas (dipoles and loops), an analytical method for calculation of the elements of both matrices is developed. These expressions are derived assuming that the receiver load resistance is given, while the transmitter voltage excitation is represented in terms of an orthonormal system of Gauss-Hermite pulses. Appropriate numerical results are presented for two short dipoles and two small loops.