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We consider linear precoder design for a multiple-input multiple-output(MIMO) Gaussian wiretap channel, which comprises two legitimate nodes, i.e.,Alice and Bob, operating in Full-Duplex (FD) mode and exchanging confidentialmessages in the presence of a passive eavesdropper. Using the sum secrecydegrees of freedoms (sum S.D.o.F.) as reliability measure, we formulate anoptimization problem with respect to the precoding matrices. In order to solvethis problem, we first propose a cooperative secrecy transmission scheme, andprove that its feasible set is sufficient to achieve the maximum sum S.D.o.F..Based on that feasible set, we then determine the maximum achievable sumS.D.o.F. in closed form, and provide a method for constructing the precodingmatrix pair which achieves the maximum sum S.D.o.F.. Results show that, the FDbased network provides an attractive secrecy transmission rate performance.

Linear Precoder Design for a MIMO Gaussian Wiretap Channel with Full-Duplex Source and Destination Nodes