Abstract
A multicarrier signal can be seen as a Gabor family whose coefficients are the symbols to be transmitted and whose generators are the time-frequency shifted pulse shapes to be used. In this article, we consider the case where the signaling density is increased such that inter-pulse interference is unavoidable.
Such an interference is minimized when the Gabor family used is a tight frame. We show that, in this case, interference can be approximated as an additive Gaussian noise. This allows us to compute theoretical and simulated bit-error-probability for a non-coded system using a quadrature phase-shift keying constellation. Such a characterization is then used in order to predict the convergence of a coded system using low-density parity check codes. We also study the robustness of such a system to errors on the received bits in an interference cancellation context.
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Notes
- 1.
The closure of a normed vector space \(\mathbf {E}\) contains all the elements of \(\mathbf {E}\), together with its limit elements. For example, the closure of the set of the rational numbers is the set of the real numbers.
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Acknowledgment
The authors would like to address a particular thank to Dr. Laurent Ros for his valuable advices and relevant remarks concerning this work.
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© 2016 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering
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Marquet, A., Siclet, C., Roque, D., Siohan, P. (2016). Analysis of a Multicarrier Communication System Based on Overcomplete Gabor Frames. In: Noguet, D., Moessner, K., Palicot, J. (eds) Cognitive Radio Oriented Wireless Networks. CrownCom 2016. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 172. Springer, Cham. https://doi.org/10.1007/978-3-319-40352-6_32
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DOI: https://doi.org/10.1007/978-3-319-40352-6_32
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