A1 Journal article (refereed), original research

Bit Error Probability for MMSE Receiver in GFDM Systems

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Publication Details
Authors: Carrillo Melgarejo Dick, Kumar Santosh, Fraidenraich Gustavo, Mendes Luciano Leonel
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Publication year: 2018
Language: English
Related Journal or Series Information: IEEE Communications Letters
Volume number: 22
Issue number: 5
Start page: 942
End page: 945
Number of pages: 4
ISSN: 1089-7798
JUFO-Level of this publication: 2
Open Access: Not an Open Access publication


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.

Last updated on 2019-11-01 at 13:15