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This was possible due to the use of a suitable reformulation of the Young's inequality.
Starting from the problem of designing the optimal polarizations for the scalar measurement system with joint Tx/Rx polarization optimization, under considering the minimum MSE of the estimator as the figure of merit, a sequential method of selecting the optimal Tx/Rx polarizations for such system is developed by owing to a suitable reformulation of the considered non-convex design problem.
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The mathematical formulation of the mentioned problem and a suitable equivalent reformulation is presented in this section.
The problem formulation for the worst-case scenario and a suitable equivalent reformulation is presented in Section 3. In Section 4, the SDP-based solution is presented and an iterative algorithm is proposed to obtain the optimal beamforming vectors.
Nonetheless, the door is opened to some suitable reformulation of it that might serve Pascal's purposes.
Unfortunately, WMSE-based optimization problems become non-convex, and we present methods of solving those by suitable reformulation.
When the base station knows perfect channel state information (CSI), suitable reformulation of design problem allows the successful application of semidefinite relaxation (SDR) techniques.
Computationally, this minimization task is solved by a reformulation as a suitable eigenvalue problem.
It requires a reformulation of their use, a suitable dynamic adaptation of the contemporary world, merging with the technology integration into the landscape.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com