Recently there have been an increasing number of research reports published concerning new television system called HDTV. HDTV is a high resolution and wide screen television. As the information in HDTV is about six times that of conventional television, the bandwidth of HDTV signal is very wide. The bandwidth of HDTV, therefor, has to be compressed for broadcasting on a channel with restricted bandwidth. The MUSE system is a sub-Nyquist sampling transmission system, which was developed for the single channel direct satellite broadcast of HDTV by NHK. Using MUSE, we can transmit high definition image of 16:9 aspect ratio, digital audio and independent data. In this thesis, signal processing techniques for bandwidth compression in the MUSE system are analyzed. And then, computer simulation is excuted in the various conditions for application.