Capacity of Training-Based V-BLAST System with LMMSE Receiver in Continuously Fading Channels

A closed-form solution for the information- theoretical capacity of vertical bell-laboratories-layered-space-time (V-BLAST) system over continuously flat-fading MIMO channels with training-based channel estimation and linear minimum-mean-square-error (LMMSE) receiver is derived. Since large system analysis via the distribution law of random matrix is used in the analysis, our analysis and results are asymptotic in nature. Simulation results show that the analytical capacity expression is still valid for limited-scale V-BLAST system. Furthermore the optimal training length that maximize the capacity is found numerically as functions of the Doppler frequency and signal-to-noise ratio (SNR).