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Improved and Extended Sum-Capacity Computation for the Gaussian Vector Broadcast Channel via Dual Decomposition

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Wireless Algorithms, Systems, and Applications (WASA 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6843))

Abstract

An improved and extended algorithm is proposed to efficiently compute the sum capacity for the Gaussian vector broadcast channel. The sum capacity computation relies on the duality between the Gaussian broadcast channel and the sum-power constrained Gaussian dual multiple-access channel. Compared with the well-known iterative algorithm that computes the sum capacity of the Gaussian vector broadcast channel via dual decomposition, not only does the proposed algorithm extend into the field of complex numbers, which is more compatible with the way in which the communication systems are constructed in practice, but it also provides faster convergence.

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References

  1. Yu, W.: Sum-capacity computation for the Gaussian vector broadcast channel via dual decomposition. IEEE Trans. Inf. Theory. 52, 754–759 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  2. Jindal, N., Vishwanath, S., Goldsmith, A.: On the duality of Gaussian multiple-access and broadcast channels. IEEE Trans. Inf. Theory 50, 768–783 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  3. Jindal, N., Rhee, W., Vishwanath, S., Jafar, S.A., Goldsmith, A.: Sum power iterative water-filling for multi-antenna Gaussian broadcast channels. IEEE Trans. Inf. Theory. 51, 1570–1580 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  4. Kobayashi, M., Caire, G.: An Iterative water-filling algorithm for maximum weighted sum-rate of Gaussian MIMO-BC. IEEE J. Sel. Areas Commun. 24, 1640–1646 (2006)

    Article  Google Scholar 

  5. Codreanu, M., Juntti, M., Latva-Aho, M.: Low-complexity iterative algorithm for finding the MIMO-OFDM broadcast channel sum capacity. IEEE Trans. Commun. 55, 48–53 (2007)

    Article  Google Scholar 

  6. Boche, H., Wiczanowski, M.: Optimization-theoretic analysis of stability-optimal transmission policy for multiple antenna multiple access channel. IEEE Trans. on Signal Proc. 55, 2688–2702 (2007)

    Article  MathSciNet  Google Scholar 

  7. He, P., Zhao, L.: Correction of convergence proof for iterative waterfilling in Gaussian MIMO broadcast channels. IEEE Trans. Inform. Theory 57, 2539–2543 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  8. He, P., He, S., Zhao, L.: Efficient maximum weighted sum-rate computation for multiple input single output broadcast channels. In: Cheng, Y., et al. (eds.) WASA 2011. LNCS, vol. 6843, pp. 48–59. Springer, Heidelberg (2011)

    Google Scholar 

  9. Biglieri, E., Calderbank, R., Constantinides, A., Goldsmith, A., Paulraj, A., Poor, H.V.: MIMO Wireless Communications. Cambridge University Press, Cambridge (2007)

    Book  Google Scholar 

  10. Boy, S., Vandenberghe, L.: Convex Optimization. Cambridge University Press, Cambridge (2004)

    Google Scholar 

  11. Intel, Intel multi-core processors: Making the move to quad-core and beyond, www.intel.com/technology/architecture/downloads/quad-core-06.pdf

  12. Zangwill, W.: Nonlinear Programming: A Unified Approach. Prentice-Hall, Englewood Cliffs (1969)

    MATH  Google Scholar 

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© 2011 Springer-Verlag Berlin Heidelberg

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He, P., Zhao, L., Liao, Z. (2011). Improved and Extended Sum-Capacity Computation for the Gaussian Vector Broadcast Channel via Dual Decomposition. In: Cheng, Y., Eun, D.Y., Qin, Z., Song, M., Xing, K. (eds) Wireless Algorithms, Systems, and Applications. WASA 2011. Lecture Notes in Computer Science, vol 6843. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23490-3_19

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  • DOI: https://doi.org/10.1007/978-3-642-23490-3_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23489-7

  • Online ISBN: 978-3-642-23490-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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