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Bit error probability for MMSE receiver in GFDM systems
Carrillo D., , Fraidenraich G., Mendes L.L.
Published in Institute of Electrical and Electronics Engineers Inc.
Volume: 22
Issue: 5
Pages: 942 - 945
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 Hch 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. © 1997-2012 IEEE.
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Published in Institute of Electrical and Electronics Engineers Inc.
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