Demodulation of UWB Impulse Radio Signals Using B-splines

We propose a novel approach to demodulate time-hopping pulse position modulated (PPM) impulse radio signals using a fully digital receiver. The pulses are viewed as non-uniform samples of an underlying continuous signal. They are then interpolated and consistently uniformly resampled using an appropriate kernel. A non-uniformly sampled signal is consistently resampled if the original samples can be deduced from the resampled uniform sequence using a suitable methodology. Such resampled sequence can be used to determine the position of the original pulses. In this paper, we showed how the B-splines can be used as an interpolating kernel and an algorithm to detect the position of the PPM pulses is developed