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A Primal-Dual Interior Point Method for Optimal Zero-Forcin Beamformer Design under Per-Antenna Power Constraints

Sotoodeh, Mariya | 2015

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 47077 (02)
  4. University: Sharif University of Technology
  5. Department: Mathematical Sciences
  6. Advisor(s): Mahdavi Amiri, Nezamoddin
  7. Abstract:
  8. Recently, the primal-dual interior point methods for nonlinear programming has attracted considerable attention. Here, we consider an optimal zero-forcing beamformer design problem in multi-user multiple-input multiple-output broadcast channel. The minimum user rate is maximized subject to zero-forcing constraints and power constraint on each base station antenna array element. This is a convex optimization problem which is equivalent to a nonlinear convex optimization problem having linear equality and inequality and quadratic inequality constraints. This problem is reduced to a convex optimization problem of lower dimension with only inequality constraints. Finally, the problem is solved using a primal-dual interior point algorithm recently proposed in the literature. Numerical results show the method to have significant advantages over other methods
  9. Keywords:
  10. Convex Optimization ; Newton Method ; Zero-forcing Beamforming ; Pre-Antenna Power Constraints ; Primal-dual Interior Point Method

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