Abstract: This paper presents the design of a class of pulses that are based-on Hermite functions for ultra-wideband communication systems. The presented class of pulses can not only meet the power spectral emission constraints of federal communications commission , but also have a short duration for multiple accesses. This paper gives closed form expressions of auto- and cross-correlation functions of the proposed pulses, which can be used to evaluate the performance of the correlator receiver. Furthermore, the paper investigates, under various channel conditions, the spectrum characteristic and the bit error rate of the pulses’ waveforms. The investigation conditions include additive white Gaussian noise channels, multiple-access interference channels, and fading multipath channels. Our results indicates that our systematic algorithm is flexible for designing ultra-wideband pulses that conform to spectral emission constraints and offer good bit error rate performance. 17 Refs. In English.

Key words: pulse design; UWB; Hermite functions; multiple access; multipath