PROJECT TITLE :
On the Precoder Design for Block Diagonalized MIMO Broadcast Channels
Block diagonalization (BD) is a linear precoding technique for MIMO broadcast channels such that it fully eliminates the multiuser interference. Consequently, the precoder of a user should lie in the null area of a matrix composing of other users' channel matrices. In this way, the matter of the precoder style is closely related to finding a basis of the null space of the matrix, that will be computed by, e.g., the singular price decomposition (SVD). Recently, a generalized channel inversion (GCI) methodology was introduced as an occasional-complexity design for BD. The GCI-primarily based precoder style is additionally shown to be optimal for BD. But, since the GCI-primarily based design relies on the pseudo-inverse of a matrix, there are a number of settings, to that this methodology is not applicable. During this letter, we tend to 1st give a connection between the SVD- and GCI-primarily based styles using the results from linear algebra. Then, from this association, we have a tendency to propose a precoder style that is devised for the cases where the GCI-based methodology cannot handle.
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