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Erschienen in: Wireless Personal Communications 3/2015

01.02.2015

Two Branch Beamforming for the Three User Constant MIMO Interference Channel

verfasst von: Duckdong Hwang, Tae-Jin Lee

Erschienen in: Wireless Personal Communications | Ausgabe 3/2015

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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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Fußnoten
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.
 
Literatur
1.
Zurück zum Zitat Bresler, G., Cartwright, D., & Tse, D. (2011). Settling the feasibility of interference alignment for the MIMO interference channel: The symmetric square case. arXiv:11040888. Bresler, G., Cartwright, D., & Tse, D. (2011). Settling the feasibility of interference alignment for the MIMO interference channel: The symmetric square case. arXiv:​11040888.
2.
Zurück zum Zitat Cadambe, V. R., & Jafar, S. A. (2008). Interference alignment and degrees of freedom of the k-user interfernce channel. IEEE Transactions on Information Theory, 54(8), 3425–3441.CrossRefMathSciNet Cadambe, V. R., & Jafar, S. A. (2008). Interference alignment and degrees of freedom of the k-user interfernce channel. IEEE Transactions on Information Theory, 54(8), 3425–3441.CrossRefMathSciNet
3.
Zurück zum Zitat Choi, S. W., Jafar, S. A., & Chung, S. Y. (2009). On the beamforming design for efficient interference alignment. IEEE Communications Letters, 13(11), 847–849.CrossRef Choi, S. W., Jafar, S. A., & Chung, S. Y. (2009). On the beamforming design for efficient interference alignment. IEEE Communications Letters, 13(11), 847–849.CrossRef
4.
Zurück zum Zitat Ghasemi, A., Motahari, A. S., & Khandani, A. K. (2010). Interference alignment for the k-user mimo interference channel. In: Proceedings of IEEE international symposium on information theory (ISIT), pp. 360–364. Ghasemi, A., Motahari, A. S., & Khandani, A. K. (2010). Interference alignment for the k-user mimo interference channel. In: Proceedings of IEEE international symposium on information theory (ISIT), pp. 360–364.
5.
Zurück zum Zitat Gomadam, K., Cadambe, V. R., & Jafar, S. A. (2008). Approaching the capacity of wireless networks through distributed interference alignment. In: IEEE Globecom, pp. 4260–4265. Gomadam, K., Cadambe, V. R., & Jafar, S. A. (2008). Approaching the capacity of wireless networks through distributed interference alignment. In: IEEE Globecom, pp. 4260–4265.
6.
Zurück zum Zitat Gomadam, K., Cadambe, V. R., & Jafar, S. A. (2011). A distributed numerical approach to interference alignment and application to wireless interference networks. IEEE Transactions on Information Theory, 57(6), 3309–3321.CrossRefMathSciNet Gomadam, K., Cadambe, V. R., & Jafar, S. A. (2011). A distributed numerical approach to interference alignment and application to wireless interference networks. IEEE Transactions on Information Theory, 57(6), 3309–3321.CrossRefMathSciNet
7.
Zurück zum Zitat Gou, T., & Jafar, S. A. (2010). Degrees of freedom of the k user \(m\times n\) MIMO interference channel. IEEE Transactions on Information Theory, 56(12), 6040–6057.CrossRefMathSciNet Gou, T., & Jafar, S. A. (2010). Degrees of freedom of the k user \(m\times n\) MIMO interference channel. IEEE Transactions on Information Theory, 56(12), 6040–6057.CrossRefMathSciNet
8.
Zurück zum Zitat Hwang, D. (2012). Interference alignment for the multi-cell multiuser interference channel. IEEE Communications Letters, 16(6), 831–833.CrossRef Hwang, D. (2012). Interference alignment for the multi-cell multiuser interference channel. IEEE Communications Letters, 16(6), 831–833.CrossRef
9.
Zurück zum Zitat Jafar, S. A., & Fakhereddin, M. J. (2007). Degrees of freedom for the MIMO interference channel. IEEE Transactions on Information Theory, 53(7), 2637–2642.CrossRefMATHMathSciNet Jafar, S. A., & Fakhereddin, M. J. (2007). Degrees of freedom for the MIMO interference channel. IEEE Transactions on Information Theory, 53(7), 2637–2642.CrossRefMATHMathSciNet
10.
Zurück zum Zitat Jafar, S. A., & Shamai, S. (2008). Degrees of freedom region of the MIMO x channel. IEEE Transactions on Information Theory, 54(1), 151–170.CrossRefMathSciNet Jafar, S. A., & Shamai, S. (2008). Degrees of freedom region of the MIMO x channel. IEEE Transactions on Information Theory, 54(1), 151–170.CrossRefMathSciNet
11.
Zurück zum Zitat Khalil, M., El-Keyi, A., & Nafie, M. (2012). A new achievable dof region for the 3-user m n symmetric interference channel. In Proceedings of IEEE international conference on communications (ICC), pp. 2238–2243. Khalil, M., El-Keyi, A., & Nafie, M. (2012). A new achievable dof region for the 3-user m n symmetric interference channel. In Proceedings of IEEE international conference on communications (ICC), pp. 2238–2243.
12.
Zurück zum Zitat Kim, J., Park, S. H., Sung, H., & Lee, I. (2010). Spatial multiplexing gain for two interfering MIMO broadcast channels based on linear transceiver. IEEE Transactions on Wireless Communications, 9(10), 3012–3017.CrossRef Kim, J., Park, S. H., Sung, H., & Lee, I. (2010). Spatial multiplexing gain for two interfering MIMO broadcast channels based on linear transceiver. IEEE Transactions on Wireless Communications, 9(10), 3012–3017.CrossRef
13.
Zurück zum Zitat Kim, T., Love, D., Clerckx, B., & Hwang, D. (2011). Spatial degree of freedom of the multicell MIMO multiple access channel. In Proceedings of IEEE Globecom, pp. 1–5. Kim, T., Love, D., Clerckx, B., & Hwang, D. (2011). Spatial degree of freedom of the multicell MIMO multiple access channel. In Proceedings of IEEE Globecom, pp. 1–5.
14.
Zurück zum Zitat Razaviyayn, M., Lyubeznik, G., & Luo, Z. (2012). On the degrees of freedom achievable through interference alignment in a MIMO interference channel. IEEE Transactions on Signal Processing, 60(2), 812–821.CrossRefMathSciNet Razaviyayn, M., Lyubeznik, G., & Luo, Z. (2012). On the degrees of freedom achievable through interference alignment in a MIMO interference channel. IEEE Transactions on Signal Processing, 60(2), 812–821.CrossRefMathSciNet
15.
Zurück zum Zitat Suh, C., & Tse, D. (2008). Interference alignment for cellular networks. In Proceedings on Allerton conference on communication, control, and computing, pp. 1037–1044. Suh, C., & Tse, D. (2008). Interference alignment for cellular networks. In Proceedings on Allerton conference on communication, control, and computing, pp. 1037–1044.
16.
Zurück zum Zitat Suh, C., Tse, D., & Ho, M. (2010). Downlink interference alignment. In Proceedings of IEEE Globecom, pp. 1–5. Suh, C., Tse, D., & Ho, M. (2010). Downlink interference alignment. In Proceedings of IEEE Globecom, pp. 1–5.
17.
Zurück zum Zitat Sung, H., Park, S. H., Lee, K. J., & Lee, I. (2010). Linear precoder designs for k-user interference channels. IEEE Transactions on Wireless Communications, 9(1), 291–301.CrossRef Sung, H., Park, S. H., Lee, K. J., & Lee, I. (2010). Linear precoder designs for k-user interference channels. IEEE Transactions on Wireless Communications, 9(1), 291–301.CrossRef
18.
Zurück zum Zitat Yetis, C. M., Guo, T., Jafar, S., & Kayran, A. H. (2010). On feasibility of interference alignment in MIMO interference networks. IEEE Transactions on Signal Processing, 58(9), 4771–4782.CrossRefMathSciNet Yetis, C. M., Guo, T., Jafar, S., & Kayran, A. H. (2010). On feasibility of interference alignment in MIMO interference networks. IEEE Transactions on Signal Processing, 58(9), 4771–4782.CrossRefMathSciNet
Metadaten
Titel
Two Branch Beamforming for the Three User Constant MIMO Interference Channel
verfasst von
Duckdong Hwang
Tae-Jin Lee
Publikationsdatum
01.02.2015
Verlag
Springer US
Erschienen in
Wireless Personal Communications / Ausgabe 3/2015
Print ISSN: 0929-6212
Elektronische ISSN: 1572-834X
DOI
https://doi.org/10.1007/s11277-014-2085-4

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