Measurement of the differences between derivatives of typical signal pulses and standard UWB signal waveforms

Abstract

Three metrics used in error measuring are introduced to measure the differences between the derivatives of typical signal pulses and the derivatives of Gaussian pulse, which is used as the standard ultrawideband (UWB) signals. Derivatives of two kinds of typical initial pulses compared to the standard UWB signal in the same order is evaluated under three reference metrics, when the initial pulses of them have the same pulse width. The results show that, the first metric δ1 changes linearly with the FWHM of the initial pulses TFWHM, while the second one δ2 presents a proportional relation to the square root of TFWHM, and the third one δmax does not change with TFWHM. In addition, the difference between the derivatives of hyperbolic secant pulse and the standard UWB signals are smaller compared to the derivatives of super-Gaussian pulse in the same condition.

An evaluation method of the interference of ultrawideband signals to out-of-band systems

“…The generation system is also relatively easy to construct. Moreover, in most optical UWB signal generation schemes, the derivatives of Gaussian pulse are normally regarded as a kind of reference waveform [6] . And this type of UWB signals are widely used in the optical fiber UWB system (UWB-over-Fiber) [7][8][9][10][11][12][13] .…”