The research of the precoding matrices of interference alignment

In recent years, with the rapid development of wireless communication industry, how to manage the interference become a central problem in modern communication system. Actually, this problem mostly comes from the less and less spectrum resource and increasing demand for high data rates. Although many interference management techniques have been proposed, because the interference can exist in any part of wireless communication, some basic problems of network interference are not able to be solved until the emergence of interference alignment technology. Interference alignment, in theory, can enable a performance that all the interference signals fall into the subspace of interference and all the useful signal also fall into the corresponding subspace. In this paper, we focus on the problem of signal transmitted over an interference channel, along the lines of the recently proposed methods of interference alignment. From the basic principle of interference alignment, we can see each receiver maintains its corresponding subspace, the transmitters mold their transmissions regularly in order to make all the interference signal received by a particular receiver and then falls into its interference subspace. The remaining part of the receiver space can be used to get the useful signal. For the general interference channel, compared with the previous method, this kind of technique not only minimizes the interference power that is overflowed out the interference subspace, but also minimizes the power of useful signal that is fell into the interference subspace.