Performance Analysis of Uplink Massive MIMO System with Cross Layer Design in the Presence of Imperfect CSI

A cross-layer design (CLD) scheme for uplink massive MIMO system in the presence of imperfect channel state information (CSI) is studied by combining adaptive modulation and automatic repeat request, and the corresponding system performance is investigated well. The received signal to noise ratio and conditional probability density function of each user based on imperfect CSI over Rayleigh fading channel are derived respectively. Furthermore, the switching thresholds of CLD scheme with the constraint of instantaneous packet error rate (PER) are calculated by using approximate PER. Based on the numerical integration formulas, closed-form theoretical average spectral efficiency (ASE) and average PER are obtained. The simulation results illustrate that the theoretical analysis is valid because it matches the corresponding simulations. Besides, with the increase of the maximum retransmission number, the ASE increment will decrease while the PER will increase, and the performance can be improved with the number of receive antennas increases or the estimation error variance decreases.