ECE Course Outline

ECE6279

Spatial Array Processing (3-0-3)

Prerequisites
ECE 4270
Corequisites
None
Catalog Description
Introduce application areas where signals are sampled over space and time. Transfer knowledge of time-based techniques to spatial processing. Develop algorithms unique to spatial processing.
Textbook(s)
Johnson & Dugeon, Array Signal Processing: Concepts and Techniques, Prentice Hall, 1993. ISBN 9780130485137 (required)

Topical Outline
         Introduction
                 Sensor Arrays, Angle-of-Arrival, and Digital Beamforming
                 Linear Algebra via MATLAB
                 Space-Time Signals

         Multi-Dimensional Fourier Transform
                 Plane Wave Decomposition; Resolution, Spatial Aliasing
                 Beam Pattern Synthesis via FIR Filter Design
                 Spatial Spectrum Analysis: f-k Domain

         Velocity Analysis
                 Phase Velocity, Group Velocity, Dispersion
                 Fan Filter Design via Multi-Dimensional Filter Design

         Beamforming
                 Time-Domain: Delay-and-Sum, Interpolation
                 Frequency Domain: Phase Steer
                 Maximizing Array Gain
                 DFT Beamforming: ``Beam' Space

         Optimal (Least-Squares) Array Processing
                 Spatial Spectral Correlation Matrix
                 MVE: Minimum Variance Estimation
                 Coherent Interference, Sub-array Averaging
                 Array Geometry:  Sparse Arrays
                 Modeling Plane Waves in Noise: Prony, IQML
                 Signal and Noise Sub-Spaces; Eigenvector Techniques
                 Singular Value Decomposition 

         Adaptive (Antenna) Arrays
                 LMS: Least Mean-Square Iteration
                 Adaptive Nulling, Constrained LMS
                 Generalized Sidelobe Canceller, Blocking Matrix
                 Partially Adaptive Arrays, Beam-Space Adaptation
                 RLS: Recursive Least-Squares

         Array Imaging
                 Reconstruction from Projections
                 Synthetic Aperture (Radar or Sonar)
                     Spotlight & Stripmap
                 Migration
                 Wideband Beamforming:
                     Space-Time Adaptive Processing (STAP)

         Applications
                 Radar
                 Wireless Communications
                 Geophysics
                 Medical