Bit Error Probability for MMSE Receiver in GFDM Systems

Published in IEEE Communications Letters, 2018

Recommended citation: D. Carrillo, S. Kumar, G. Fraidenraich and L. L. Mendes, "Bit Error Probability for MMSE Receiver in GFDM Systems," in IEEE Communications Letters, vol. 22, no. 5, pp. 942-945, May 2018, doi: 10.1109/LCOMM.2018.2808475. https://ieeexplore.ieee.org/document/8301523

In this letter, we consider the minimum mean-square error receiver for the generalized frequency division multiplexing system (GFDM) over frequency selective fading channels. We derive an approximate probability density function for the signal-to-interference-plus-noise ratio. This expression allows us to obtain a new approximate, but rather accurate formulation for the bit error probability for a M-quadrature amplitude modulation scheme. Our results resort on the pivotal properties exhibited by eigenvalues of a circulant matrix. Since the entries of the channel matrix H ch are complex Gaussian distributed, and the eigenvalues are given as a weighted sum of its entries, the joint eigenvalue distribution is also Gaussian. Comparisons of the simulated and analytical results validate our formulation and allow a quick and efficient tool to compute the bit error rate for the GFDM system.

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Recommended citation: D. Carrillo, S. Kumar, G. Fraidenraich and L. L. Mendes, "Bit Error Probability for MMSE Receiver in GFDM Systems," in IEEE Communications Letters, vol. 22, no. 5, pp. 942-945, May 2018, doi: 10.1109/LCOMM.2018.2808475.