Based on linear combination with differential Gaussian pulse, a designing impulse radio waveforms method for Ultra Wideband (UWB) wireless communications was investigated. According to the spread spectrum effect of the shaping factor and differential coefficient, a simple pulse design method on constructing differential Gaussian pulse was proposed that made use of a linear only triple-pulse combination of multiple Gaussian derivatives. To gain the best weight coefficient, we proposed to optimize its weight vector and shaping factor by particle swarm optimization (PSO) technique, which is an optimization method inspired by swarm behavior. In PSO algorithm, each particle (individual) belonging to the swarm searches optimal solution efficiently using entire swarm information. The simulation results showed that the designed pulse can meet the power spectral constraint of Federal Communication Commission (FCC) UWB mask. Furthermore, its performance is better than single Gaussian derivation pulse to satisfy some demand.
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