Array Signal Processing with Alpha Stable Distributions

x Introduction Literature Review Dissertation Organization and Contribution Abbreviations Array Signal Processing Fundamentals and Current Approaches Problem Formulation Maximum Likelihood DOA Estimation with Gaussian Distributions The Stochastic Maximum Likelihood Method The Deterministic Maximum Likelihood Method The Deterministic Cram er Rao Bound for Gaussian Noise Subspace Based DOA Estimation Using Second Order Statistics The MUSIC Algorithm The Minimum Norm Spatial Spectrum Estimator The Minimum Variance Distortionless Method The Autoregressive Spatial Spectrum Estimator Relationships Between the MVD AR MUSIC and MN Spectra High Resolution Methods Based on Higher Order Statistics Alpha Stable Random Variables and Processes The Class of Real S S Distributions Bivariate Isotropic Stable Distributions Symmetric Alpha Stable Processes Complex S S Random Variables and Covariations Generation of Complex Isotropic S S Random Variables