Ultra-wideband (UWB) is one of the major breakthroughs in the area of wireless communications, which is highly sparse in the time domain. Hence, it is natural to introduce CS in the design of UWB systems in order to improve the performance of UWB signal acquisition. In this chapter, we will discuss both the compression and reconstruction procedures in UWB systems, which serves as a good tutorial for how to apply CS in communication systems having sparsity. Note that channel estimation is also an important topic in UWB systems. However, since the CS-based channel estimation for general wireless communication systems has been discussed in Chapter 6, we omit the corresponding discussion in this chapter.