Motion capture research has been addressed widely recently due to it can be applied to computer animation and virtual reality design for various purposes such as filming, entertainment, training, medical surgery and education. In this paper we deal with the computational feasibility study of a newly designed motion capture system using a linear UWB impulse phase array. The system consists of a linear transmit phase array antenna and a single receive antenna. The strategy is to first use the outer two antennas of the array for the initial fast coarse location estimate then follows by motion tracking using entire array. While in the locationing process, the outer two antennas simply act as two omni antennas. No beamforming strategy is used. Once the coarse location has been estimated the system enters into the motion tracking phase, and an active transmit space-time beamforming by the entire phase array antenna is used. The beam is electronically steered to the desired spots (directions and ranges) by the previous location estimate from the system. This is then served as the next estimate set up and operates recursively before it converges. We propose only the a space-time processing methodology for implementing the particular transmit beamforming. The designed system can be simulated by the System View and Matlab Simulink easily to test the availability and performance and will be addressed later.