Electrical and Computer Engineering ETDs

Publication Date

Spring 5-16-2026

Abstract

Aperiodic phased arrays enable beam steering, interference suppression, and spectrum efficiency for 6G, radar, biomedical imaging, and distributed sensing. Minimum inter-element spacing and keep out zones induce spatial correlation, violating the i.i.d. element-position assumption behind classical probabilistic random array theory. This dissertation develops a unified probabilistic spectral framework for correlated (non-i.i.d.) arrays. Second moment power pattern analysis incorporates the pair-correlation function  and structure factor , recovering the i.i.d. limit when  and accommodating unequal excitations. Side lobe and main lobe fields deviate from Rayleigh/Exponential and are modeled by weighted Nakagami and Gamma-mixture distributions, parameterized via Monte Carlo. The blue noise spectral ring is derived analytically, yielding closed form onset and peak relations versus exclusion radius  through Bessel kernel step correlation models. Extending prior Poisson disk array studies, the framework predicts suppression and ring features from minimum spacing; HFSS simulations of Poisson disk circular slot arrays confirm these predictions.

Keywords

Antennas, Antenna Arrays, Aperiodic Antenna Array, Structure Factor, Pair Correlation Function, Spatial Correlation

Document Type

Dissertation

Language

English

Degree Name

Electrical Engineering

Level of Degree

Doctoral

Department Name

Electrical and Computer Engineering

First Committee Member (Chair)

Christos Christodoulou

Second Committee Member

Mark Gilmore

Third Committee Member

Jehanzeb Chaudhry

Fourth Committee Member

Jacques Loui

Fifth Committee Member

Jeffery Williams

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