Fractional Programming and Manifold Optimization for Reciprocal BD-RIS Scattering Matrix Design
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911712089735168 |
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| author | Fidanovski, Marko Sandoval, Iván Alexander Morales Ranasinghe, Kuranage Roche Rayan de Abreu, Giuseppe Thadeu Freitas Björnson, Emil Clerckx, Bruno |
| author_facet | Fidanovski, Marko Sandoval, Iván Alexander Morales Ranasinghe, Kuranage Roche Rayan de Abreu, Giuseppe Thadeu Freitas Björnson, Emil Clerckx, Bruno |
| contents | We investigate the problem of maximizing the sum-rate performance of a beyond-diagonal reconfigurable intelligent surface (BD-RIS)-aided multi-user (MU)-multiple-input single-output (MISO) system using fractional programming (FP) techniques. More specifically, we leverage the Lagrangian Dual Transform (LDT) and Quadratic Transform (QT) to derive an equivalent objective function which is then solved iteratively via a manifold optimization framework. It is shown that these techniques reduce the complexity of the optimization problem for the scattering matrix solution, while also providing notable performance gains compared to state-of-the-art (SotA) methods under the same system conditions. Simulation results confirm the effectiveness of the proposed method in improving sum-rate performance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_07683 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fractional Programming and Manifold Optimization for Reciprocal BD-RIS Scattering Matrix Design Fidanovski, Marko Sandoval, Iván Alexander Morales Ranasinghe, Kuranage Roche Rayan de Abreu, Giuseppe Thadeu Freitas Björnson, Emil Clerckx, Bruno Signal Processing We investigate the problem of maximizing the sum-rate performance of a beyond-diagonal reconfigurable intelligent surface (BD-RIS)-aided multi-user (MU)-multiple-input single-output (MISO) system using fractional programming (FP) techniques. More specifically, we leverage the Lagrangian Dual Transform (LDT) and Quadratic Transform (QT) to derive an equivalent objective function which is then solved iteratively via a manifold optimization framework. It is shown that these techniques reduce the complexity of the optimization problem for the scattering matrix solution, while also providing notable performance gains compared to state-of-the-art (SotA) methods under the same system conditions. Simulation results confirm the effectiveness of the proposed method in improving sum-rate performance. |
| title | Fractional Programming and Manifold Optimization for Reciprocal BD-RIS Scattering Matrix Design |
| topic | Signal Processing |
| url | https://arxiv.org/abs/2511.07683 |