The signal reconstruction algorithm with sub-Nyquist bandpass sampling in Pulse Position Modulation-Ultra Wide Band (PPM-UWB) signal processing is analyzed based on PPM-UWB signal demodulation. Then, the reconstruction method based on the annihilating filter and the Estimation of Signal Parameter via Rotational Invariance Techniques (ESPRIT) algorithm are compared using simulations. The total least squares ESPRIT algorithm, which requires high bandwidth, has better anti-noise performance than the reconstruction method based on the annihilating filter.