Inverse Source Method for Constrained Phased Array Synthesis through Null-Space Exploitation
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915502711898112 |
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| author | Poli, Lorenzo Rocca, Paolo Benoni, Arianna Massa, Andrea |
| author_facet | Poli, Lorenzo Rocca, Paolo Benoni, Arianna Massa, Andrea |
| contents | A versatile approach for the synthesis of phased array (PA) antennas able to fit user-defined power pattern masks, while fulfilling additional geometrical and/or electrical constraints on the geometry of the array aperture and/or on the array excitations is presented. Such a synthesis method is based on the inverse source (IS) formulation and exploits the null-space of the radiation operator that causes the non-uniqueness of the IS problem at hand. More in detail, the unknown element excitations of the PA are expressed as the linear combination of a minimum-norm or radiating (RA) term and a suitable non-radiating (NR) component. The former, computed via the truncated singular value decomposition (SVD) of the array radiation operator, is devoted to generate a far-field power pattern that fulfills user-defined pattern masks. The other one belongs to the null-space of the radiation operator and allows one to fit additional geometrical and/or electrical constraints on the geometry of the array aperture and/or on the beam-forming network (BFN) when determined with a customized global optimization strategy. A set of numerical examples, concerned with various array arrangements and additional design targets, is reported to prove the effectiveness of the proposed approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_15710 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inverse Source Method for Constrained Phased Array Synthesis through Null-Space Exploitation Poli, Lorenzo Rocca, Paolo Benoni, Arianna Massa, Andrea Systems and Control Information Theory A versatile approach for the synthesis of phased array (PA) antennas able to fit user-defined power pattern masks, while fulfilling additional geometrical and/or electrical constraints on the geometry of the array aperture and/or on the array excitations is presented. Such a synthesis method is based on the inverse source (IS) formulation and exploits the null-space of the radiation operator that causes the non-uniqueness of the IS problem at hand. More in detail, the unknown element excitations of the PA are expressed as the linear combination of a minimum-norm or radiating (RA) term and a suitable non-radiating (NR) component. The former, computed via the truncated singular value decomposition (SVD) of the array radiation operator, is devoted to generate a far-field power pattern that fulfills user-defined pattern masks. The other one belongs to the null-space of the radiation operator and allows one to fit additional geometrical and/or electrical constraints on the geometry of the array aperture and/or on the beam-forming network (BFN) when determined with a customized global optimization strategy. A set of numerical examples, concerned with various array arrangements and additional design targets, is reported to prove the effectiveness of the proposed approach. |
| title | Inverse Source Method for Constrained Phased Array Synthesis through Null-Space Exploitation |
| topic | Systems and Control Information Theory |
| url | https://arxiv.org/abs/2509.15710 |