Abstract

In this paper a new combined Gaussian UWB pulse waveform, optimized using particle swarm optimization (PSO) algorithm is presented. In fact since a Gaussian-derived pulse itself can not satisfy FCC spectral constraints for the entire spectrum of a UWB signal, we are persuaded into properly weighted combinations of Gaussian derivatives creating a spectrum maximally close to FCC standards for a UWB system. In this report we have investigated three methods: Random combination, combination based upon least square error using PSO algorithm, and combination based on minimizing the area between FCC standard emission mask and PSD of the designed signal using PSO algorithm. Finally a pulse generated by first, forth, and fifth-order derivatives of Gaussian function is presented which is better compared with its previously designed counterparts when it comes to spectral performance even for frequencies less than 1 GHz.

Key words: Gaussian derivative, PSO algorithm, pulse design, UWB pulse, spectral shaping.