The rapid growth of communication technology with the success of internet, has brought huge profits and great convenience to our daily life. Computer networks can be built using either wired or wireless technologies. It will be an important issue that how to select a medium for the transmission. Wired Ethernet has been the traditional choice in most of the networks. However, it has to deploy the Ethernet wires. For the wired internet networks, the power line communication (PLC) technology will be an alternative choice. In this wire-line communication system, the power line network is used as the transmission medium. Therefore, computer networks can work on the existing power line system. No extra new transmission infrastructure is needed. So far, several PLC standards are available, shch as X-10, CEBus(Consumer Electronic Bus), Echonet and Homeplug. This thesis studies the Homeplug AV specification developed by the Homeplug powerline Alliance. By employing MATLAB/Simulink, we build up a PLC baseband transmission model and simulation platform. We carry out the Homeplug AV baseband transmission performance in system level on this platform. The Homeplug AV adopts 3072-point FFT which is not the power of two. It will be a challenge to design the 3072-point FFT processor. Here, we use Xilinx System Generator to design and implement the 3072-point FFT processor. The function verification of the implemented 3072-point FFT processor for Homeplug AV system is carried out by simulation.