Quadratic Forms in Gaussian Random Variables Theoretical Results and Applications

Fuente: arXiv
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Auteurs principaux: Ahmed, Mohanad, Ghazal, Mahmoud, Mahadi, Maaz, Al-Naffouri, Tareq Y.
Format: Preprint
Publié: 2026
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author Ahmed, Mohanad
Ghazal, Mahmoud
Mahadi, Maaz
Al-Naffouri, Tareq Y.
author_facet Ahmed, Mohanad
Ghazal, Mahmoud
Mahadi, Maaz
Al-Naffouri, Tareq Y.
contents This manuscript reviews theoretical results and applications related to quadratic forms in Gaussian random variables. It summarizes definitions, canonical representations, exact and approximate distributional results, numerical inversion methods, applications, and selected open problems for real and complex quadratic forms, multiforms, and ratios of quadratic forms.
format Preprint
id arxiv_https___arxiv_org_abs_2605_09577
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Quadratic Forms in Gaussian Random Variables Theoretical Results and Applications
Ahmed, Mohanad
Ghazal, Mahmoud
Mahadi, Maaz
Al-Naffouri, Tareq Y.
Signal Processing
Probability
This manuscript reviews theoretical results and applications related to quadratic forms in Gaussian random variables. It summarizes definitions, canonical representations, exact and approximate distributional results, numerical inversion methods, applications, and selected open problems for real and complex quadratic forms, multiforms, and ratios of quadratic forms.
title Quadratic Forms in Gaussian Random Variables Theoretical Results and Applications
topic Signal Processing
Probability
url https://arxiv.org/abs/2605.09577