An Identity of Hankel Matrices Generated from the Moments of Gaussian Distribution
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916149647638528 |
|---|---|
| author | Hu, Sha |
| author_facet | Hu, Sha |
| contents | In this letter, we proved a matrix identity of Hankel matrices that seems unrevealed before, generated from the moments of Gaussian distributions. In particular, we derived the Cholesky decompositions of the Hankel matrices in closed-forms, and showed some interesting connections between them. The results have potential applications in such as optimizing a nonlinear (NL) distortion function that maximizes the receiving gain in wireless communication systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04052 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Identity of Hankel Matrices Generated from the Moments of Gaussian Distribution Hu, Sha Information Theory In this letter, we proved a matrix identity of Hankel matrices that seems unrevealed before, generated from the moments of Gaussian distributions. In particular, we derived the Cholesky decompositions of the Hankel matrices in closed-forms, and showed some interesting connections between them. The results have potential applications in such as optimizing a nonlinear (NL) distortion function that maximizes the receiving gain in wireless communication systems. |
| title | An Identity of Hankel Matrices Generated from the Moments of Gaussian Distribution |
| topic | Information Theory |
| url | https://arxiv.org/abs/2403.04052 |