On the bivariate pearson type VII and its application to the BER analysis for SC-FDMA

This paper gathers some of the authors' work with the family of the elliptically contoured distributions and its application to the analysis of performance in communication systems. Specifically, the Pearson type VII distribution is used to derive a closed-form expression for the BER in an LTE uplink system over a Rayleigh fading channel. ECDs possess many nice properties similar to those of multivariate normal distributions and allow analyzing scenarios where gaussianity assumption no longer applies. Based on the knowledge of these distributions, the stochastic nature of enhanced noise, which appears when zero-forcing equalization is applied, in a SC-FDMA system was studied. Finally, Gil-Pelaez expression for the inversion theorem is used to obtain the closed-form expression for BER in interleaved SC-FDMA when sub-carriers are assumed to be independent.