Performance evaluation of MIMO system incorporating water filling model and minimum eigenvalue constraints

In this paper, both equal power and water filling models are simulated for comparison of their performance in a multiple-input multiple-output environment. The effects of fast fading and the shadowing effects have been incorporated in the models. Minimum eigenvalue required for successful transmission for individual link is evaluated from the probability density functions of eigenvalue and equivalent uncoupled multiple-input multiple-output link. Impact of the number of antenna elements of an array on the minimum eigenvalue of an uncoupled channel is analyzed based on probability density function of eigenvalue of the channel matrix. The analysis shows that the cutoff eigenvalue decreases with increase in the number of antenna elements and signal to noise ratio of the received signal.