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Two Branch Beamforming for the Three User Constant MIMO Interference Channel

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Abstract

We consider the interference alignment (IA) in the three user constant multiple input multiple output (MIMO) interference channel. A two branch transmit and receive beam-forming scheme is proposed, where the IA scheme of Cadambe and Jafar is applied to the top branches while the bottom branches help additional stream transmission without causing interference to the other users. This scheme is applicable without any restriction on the numbers of transmit and receive antennas and affords additional degree of freedom gain compared to the Cadambe and Jafar scheme. With the proposed scheme, the known degree of freedom upper bound \(\frac{3(M+N)}{4}\) of the beam-forming based IA is achieved in more general condition than the previous result for the three user constant MIMO interference channel, where \(M\) is the number of antennas at the transmitter and \(N\) is the number of antennas at the receivers.

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Notes

  1. When \(M=N\) and they are odd numbers, the IA scheme in [2] uses pre-coding over two symbol durations to get two equal dimensional spaces, one for the signal reception and the other for the interference reception. However, this is different from symbol extension since they are not relying on time or frequency selectivity. In this correspondence , we also assume pre-coding over two symbol durations when we apply the IA in [2] to an odd numbered dimension.

  2. \(J\ (0\le J\le \min (M,N))\) is an integer to be optimized in Sect. 3.

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Acknowledgments

This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIP) (2014R1A5A1011478), and Basic Science Research Program through the NRF funded by the Ministry of Education (NRF-2010-0020210).

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  1. School of Information and Communication Engineering, Sungkyunkwan University, Suwon, 440-746, South Korea

    Duckdong Hwang & Tae-Jin Lee

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  1. Duckdong Hwang
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  2. Tae-Jin Lee
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Correspondence to Tae-Jin Lee.

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Hwang, D., Lee, TJ. Two Branch Beamforming for the Three User Constant MIMO Interference Channel. Wireless Pers Commun 80, 1251–1261 (2015). https://doi.org/10.1007/s11277-014-2085-4

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