Generalized Geometric Mean Decomposition and DFE Transceiver Design—Part II: Performance Analysis

In a companion paper, the generalized geometric mean decomposition (GGMD) was proposed and used to design GGMD decision feedback equalizer (DFE) transceivers for arbitrary multiple-input multiple-output (MIMO) channels without zero-forcing constraint. For the application to cyclic prefix (CP) systems, the GGMD DFE transceiver has the most advantage over the GMD DFE MMSE transceiver in terms of design and implementation complexity. This paper presents the performance analysis for the GGMD DFE transceiver implementation proposed in Part I. The arithmetic mean-square error (MSE), symbol error rate (SER) and Gaussian mutual information of the proposed system are investigated. The performance advantages of GGMD DFE transceiver over popular orthogonal-frequency-division multiplexing (OFDM) and single-carrier CP MMSE systems are shown analytically and verified by numerical simulations.