ECE-595, Spatial Array Processing

Term: Fall 2006

Instructor: Balu Santhanam

Pre-requisites: ECE-439, ECE-340, Linear algebra,

Working knowledge of MATLAB

Course description:

space-time signal model, wave equations, 4D Fourier transforms,

spatial filtering, wave-number frequency response, beamforming, DOA estimation,

subspace methods, adaptive antenna arrays, generalized sidelobe canceler,

applications in radar systems, wireless communications


Announcements :

o There will be guest lecture by Prof. Marios Pattichis on the applications of array processing to biomedical imaging on 12/05/2006. Attendance is mandatory.
o The final project is due in my office on Dec 13 2006.

Course Materials:

o Syllabus
o Final Exam Schedule
o Tutorial: Beamforming

Space-Time Signals & Linear Arrays

o Notes: Space-Time Signals & Model
o Example:Dispersion
o Example: Separable Random Field
o Example: Spherical Symmetry
o Example: Isotropic Cylindrical Noise

Apertures & Arrays

o Aperture Smoothing Function
o Example: Circular Aperture
o Example: Linear Array
o Example: Co-Array Computation

Beamforming & Space-Time Filtering

o Conventional Beamforming
o On the Pereiodogram
o Array Gain Optimization
o Minimum Variance Beamforming
o More on Minimum Variance Beamforming
o Discrete TIme Beamforming

Subspace DOA Estimation & Constrained Optimization

o Subspace DOA Estimation
o Comparison of MVDR and LP DOA Estimation
o Effect of Signal Coherence
o Constrained Optimization
o Robust Constrained Optimization

Problem Sets & Exams

o Problem Set # 1.0
o Solutions to PS # 1.0
o Problem Set # 2.0
o Solutions to Problem Set # 2.0
o Problem Set # 3.0
o Solutions to PS # 3.0
o Problem Set # 4.0
o Solutions to Problem Set # 4.0