Degrees-of-Freedom for the 4-User SISO Interference Channel with Improper Signaling

C. Lameiro, I. Santamaría, in: Proc.\ IEEE Int.\ Conf.\ Comm., Budapest, Hungary, 2013.

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Lameiro, Christian; Santamaría, Ignacio
Abstract
It has been recently shown that for the 3-user single-input single-output (SISO) interference channel with constant channel coefficients, a maximum of 1.2 degrees-of-freedom (DoF) are achievable using linear interference alignment schemes when improper (a.k.a. asymmetric) Gaussian signaling is applied. In this paper, we study the 4-user SISO interference channel and provide inner and outer bounds for the total number of DoF achievable for this channel. We prove that at least 4/3 DoF are achievable for the 4-user channel using also linear interference alignment techniques and improper signaling. A simple converse proof shows that no more than 8/5 DoF are achievable for this scheme. Simulation results seem to indicate that the inner bound is in fact tight for this channel, and serve to illustrate the sum-rate improvement with respect to time division multiple access (TDMA) techniques.
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Proc.\ IEEE Int.\ Conf.\ Comm.
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Lameiro C, Santamaría I. Degrees-of-Freedom for the 4-User SISO Interference Channel with Improper Signaling. In: Proc.\ IEEE Int.\ Conf.\ Comm. ; 2013. doi:10.1109/ICC.2013.6655009
Lameiro, C., & Santamaría, I. (2013). Degrees-of-Freedom for the 4-User SISO Interference Channel with Improper Signaling. Proc.\ IEEE Int.\ Conf.\ Comm. https://doi.org/10.1109/ICC.2013.6655009
@inproceedings{Lameiro_Santamaría_2013, place={Budapest, Hungary}, title={Degrees-of-Freedom for the 4-User SISO Interference Channel with Improper Signaling}, DOI={10.1109/ICC.2013.6655009}, booktitle={Proc.\ IEEE Int.\ Conf.\ Comm.}, author={Lameiro, Christian and Santamaría, Ignacio}, year={2013} }
Lameiro, Christian, and Ignacio Santamaría. “Degrees-of-Freedom for the 4-User SISO Interference Channel with Improper Signaling.” In Proc.\ IEEE Int.\ Conf.\ Comm. Budapest, Hungary, 2013. https://doi.org/10.1109/ICC.2013.6655009.
C. Lameiro and I. Santamaría, “Degrees-of-Freedom for the 4-User SISO Interference Channel with Improper Signaling,” 2013, doi: 10.1109/ICC.2013.6655009.
Lameiro, Christian, and Ignacio Santamaría. “Degrees-of-Freedom for the 4-User SISO Interference Channel with Improper Signaling.” Proc.\ IEEE Int.\ Conf.\ Comm., 2013, doi:10.1109/ICC.2013.6655009.

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