Parseval-Type Relations and $$L^p$$Lp-Inequalities for the Operators with Complex Gaussian Kernels
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DOI: 10.1007/s11785-016-0612-x
Abstract: In this paper we study new $$L^p$$Lp–boundedness properties for the integral transform with complex Gaussian kernel over $$L^p ({\mathbb {R}},(1+x^2)^{\alpha } dx)$$Lp(R,(1+x2)αdx), $$1\le p \le \infty $$1≤p≤∞, $$\alpha \in {\mathbb {R}}$$α∈R. We also obtain Parseval-type… read more here.
Keywords: operators complex; type relations; parseval type; inequalities operators ... See more keywords
Moments of Complex Gaussian Ratios
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DOI: 10.1109/lcomm.2018.2883309
Abstract: We study the moments of general complex Gaussian ratios (CGRs), whose numerator and denominator are correlated and have arbitrary mean. In particular, we calculate the mean of these ratios in a closed form and prove… read more here.
Keywords: mean; gaussian ratios; moments complex; complex gaussian ... See more keywords
Complex Gaussian Processes for Regression
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Neural Networks and Learning Systems"
DOI: 10.1109/tnnls.2018.2805019
Abstract: In this paper, we propose a novel Bayesian solution for nonlinear regression in complex fields. Previous solutions for kernels methods usually assume a complexification approach, where the real-valued kernel is replaced by a complex-valued one.… read more here.
Keywords: gaussian processes; regression; processes regression; complex valued ... See more keywords
A New Approach to the Statistical Analysis of Non-Central Complex Gaussian Quadratic Forms With Applications
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Vehicular Technology"
DOI: 10.1109/tvt.2019.2916725
Abstract: This paper proposes a novel approach to the statistical characterization of non-central complex Gaussian quadratic forms (CGQFs). Its key strategy is the generation of an auxiliary random variable that replaces the original CGQF and converges… read more here.
Keywords: quadratic forms; non central; gaussian quadratic; central complex ... See more keywords