In this paper novel modified Hermite polynomial functions for use in impulse radio (ultra-wideband) communications are proposed. With these functions pulse shapes which are orthogonal and have nearly constant pulse width regardless of the pulse order are generated. These properties hold under the effects of differentiation. An M-ary communication system is constructed using these pulse shapes. A Matlab model for generating the pulses is designed and the effect of timing jitter on the performance of the system is investigated by computer simulation.
- Impulse radio
- Orthogonal pulse shapes
- Ultra-wideband communications
ASJC Scopus subject areas
- Computer Science Applications
- Electrical and Electronic Engineering