An Identity of Hankel Matrices Generated from the Moments of Gaussian Distribution
<|reference_start|>An Identity of Hankel Matrices Generated from the Moments of Gaussian Distribution: 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.<|reference_end|>
@article{hu2024an,
    title={An Identity of Hankel Matrices Generated from the Moments of Gaussian
  Distribution},
    author={Sha Hu},
    journal={arXiv preprint arXiv:2403.04052},
    year={2024},
    archivePrefix={arXiv},
    eprint={2403.04052},
    primaryClass={cs.IT math.IT}
}