Abstract:

The relation between the peak frequency and bandwidth of the nth derivative of the Rayleigh pulse and the pulse shape parameter α and the order of differentiation n was researched. A novel algorithm to design ultrawideband (UWB) pulse was then proposed based on the bandwidth and peak frequency constraints on UWB systems by federal communications commission (FCC). n satisfying FCC mask by schematized version and a range ofα which satisfy the regulation can be figured out by the proposed algorithm, which means a myriad of pulses that are compliant can be designed.

Key words: ultrawideband impulse radio, Rayleigh monopulse, power spectral density, pulse shape parameter, order of differentiation