The Impact of Uniform Circular Array on Near-field ISAC
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915315540033536 |
|---|---|
| author | Xue, Na Mu, Xidong Chen, Yue Liu, Yuanwei |
| author_facet | Xue, Na Mu, Xidong Chen, Yue Liu, Yuanwei |
| contents | A novel uniform circular array (UCA) based near-field (NF) integrated sensing and communication (ISAC) framework is proposed, where the Cylindrical coordinate is invoked to evaluate the joint positioning performance. The joint squared position error bound (SPEB) of the sensing target (ST) is derived for the coplanar and non-coplanar cases. For the coplanar case, where the ST is located in the coplanar region of the UCA, the approximate Cram{é}r-Rao bound (CRB) expressions for the separate angle and distance estimation are given by exploiting the uniform spherical wavefront model. A SPEB minimization problem is formulated with the constraints of communication requirement and power budget, where the closed-form solution to minimize the CRB of the angle is derived. Inspired by the close-form expression, a low complexity vector-based quadratic transformation (VQF) algorithm is proposed by invoking the Rayleigh quotient. For the non-coplanar case, where the ST is located beyond the coplanar region of the UCA, the separate CRBs over three-dimensional coordinates and the joint SPEB approximations are derived. To minimize the SPEB performance, the semi-definite relaxation (SDR) method and extended low-complexity VQF algorithm are proposed. Numerical results validated that i) the Fisher Information Matrix about angle and distance in NF propagation can be approximated as a diagonal matrix with the trinity loss; ii) Compared with the uniform planar array, the UCA achieve better positioning performance when ST located in the coplanar of the antenna array; and iii) the proposed VQF algorithms reach higher solution precision than conventional SDR algorithm with much less computation complexity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00211 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Impact of Uniform Circular Array on Near-field ISAC Xue, Na Mu, Xidong Chen, Yue Liu, Yuanwei Signal Processing A novel uniform circular array (UCA) based near-field (NF) integrated sensing and communication (ISAC) framework is proposed, where the Cylindrical coordinate is invoked to evaluate the joint positioning performance. The joint squared position error bound (SPEB) of the sensing target (ST) is derived for the coplanar and non-coplanar cases. For the coplanar case, where the ST is located in the coplanar region of the UCA, the approximate Cram{é}r-Rao bound (CRB) expressions for the separate angle and distance estimation are given by exploiting the uniform spherical wavefront model. A SPEB minimization problem is formulated with the constraints of communication requirement and power budget, where the closed-form solution to minimize the CRB of the angle is derived. Inspired by the close-form expression, a low complexity vector-based quadratic transformation (VQF) algorithm is proposed by invoking the Rayleigh quotient. For the non-coplanar case, where the ST is located beyond the coplanar region of the UCA, the separate CRBs over three-dimensional coordinates and the joint SPEB approximations are derived. To minimize the SPEB performance, the semi-definite relaxation (SDR) method and extended low-complexity VQF algorithm are proposed. Numerical results validated that i) the Fisher Information Matrix about angle and distance in NF propagation can be approximated as a diagonal matrix with the trinity loss; ii) Compared with the uniform planar array, the UCA achieve better positioning performance when ST located in the coplanar of the antenna array; and iii) the proposed VQF algorithms reach higher solution precision than conventional SDR algorithm with much less computation complexity. |
| title | The Impact of Uniform Circular Array on Near-field ISAC |
| topic | Signal Processing |
| url | https://arxiv.org/abs/2506.00211 |