Date of Award

Spring 2026

Language

English

Embargo Period

4-7-2026

Document Type

Master's Thesis

Degree Name

Master of Science (MS)

College/School/Department

Department of Electrical and Computer Engineering

Program

Electrical and Computer Engineering

First Advisor

Aveek Dutta

Committee Members

Aveek Dutta, Dola Saha, Bariscan Yonel

Keywords

LTV Channels, Neural Networks, MEM, Decomposition, ALM

Subject Categories

Systems and Communications

Abstract

Eigenfunctions are commonly employed to characterize kernels in various data-driven analyses. In machine learning, eigenfunction decomposition typically relies on Mercer's theorem, which assumes kernel symmetry. However, this condition is often unmet in communication systems, where channel kernels are asymmetric due to differences in downlink and uplink propagation environments. The High-Order Generalized Mercer's Theorem (HOGMT) provides a systematic approach for decomposing multidimensional asymmetric kernels into eigenfunctions. To address the complexity of eigen-decomposition, this work introduces a baseline neural network (NN) framework HNET. The HNET framework is further enhanced by incorporating the augmented Lagrangian method (ALM) to explicitly enforce orthogonality constraints. This ALM-based NN framework AHNET reduces the training time by eliminating the need for extensive parameter tuning. The ongoing work proposes a Cloud Radio Access Network (CRAN), a hardware platform to facilitate the evaluation of a range of research directions, including machine learning based wireless communication.

License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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