The Fractal Characteristics of Signals in IR-UWB Communication System
In this paper the fractal characteristics of the received multipath signals of impulse radio ultra-wideband communication system are analyzed and proved using over-value function. The scale-invariant interval can be determined by the over-value function. The over-value functions of the received multipath signals of IR-UWB are computed according to the simulated signals, measured signals and channel model based proof, respectively. The curves of the over-value functions of the above are of the same form. For the above function curves, the double logarithmic graphs are computed to find the linear segment with the opposite of the fractal dimension as its slope, where the scale-invariant interval can be determined. The signals with strong noise are not fractals and the scale-invariant interval cannot be found. The analysis above can be helpful to improve the signal receiving techniques in IR-UWB. The conclusion is that the IR-UWB signal displays fractal characteristics on its scale-invariant interval.
fractal characteristics ir-uwb over-value function scale-invariant interval heavy-tailed distribution