  Millimeter-accuracy Ultra-Wideband (UWB) positioning systems using the Time
Difference Of Arrival (TDOA) algorithm are able to be utilized in military and
many other important applications. Previous research on UWB positioning system
has achieved up to mm or sub-mm accuracy. However, one bottleneck in UWB system
is at sampling high resolution UWB signals, as well as high resolution timing
information. In this paper, UWB positioning systems are surveyed and we focus
on sampling methods for handling UWB signals. Among different sampling methods,
one traditional way is the sequential sampling method, which is not a real time
sampling method and blocks UWB positioning system to achieve higher precision.
Another way is by applying Compressed Sensing (CS) to UWB system for achieving
sub-mm positioning accuracy. In this paper, we compare different TDOA-based UWB
systems with different sampling methods. In particular, several CS-UWB
algorithms for UWB signal reconstruction are compared in terms of positioning
accuracy. Simulation results in 2D and 3D experiments demonstrate performance
of different algorithms including typical BCS, OMP and BP algorithms. CS-UWB is
also compared with UWB positioning system based on the sequential sampling
method.
