EE 518 Data Analysis and AI on the SphereFall 2022
Syed Babar Ali School of Science and Engineering

Data defined on the 2dimensional surface of the 2sphere arise whenever the underlying configuration of the problem has a spherical geometry. Hence, such data has inherent angular dependence and is encountered in various fields of science and engineering, such as wireless communication, 3D beamforming, computer graphics, medical imaging, acoustics, geodesy, quantum chemistry, cosmology, astronomy and planetary sciences. Examples of data on the sphere include gravitational, topographic and magnetic fields of the planets, cosmic microwave background (CMB), a relic radiation from the Big Bang, pouring down on us from space, electromagnetic radiation pattern of an antenna array in spherical geometry, acoustic signal received using spherical configuration of microphones etc. 
(Sep. 06) Welcome to EE 518. Course outline has been posted.
Course Outline (Click to download)
Suggested Books:
R. A. Kennedy and P. Sadeghi, Hilbert Space Methods in Signal Processing, 2013.
Lecture Notes will be provided.
Office Hours and Contact Information
Instructor: Zubair Khalid (zubair.khalid@lums.edu.pk), Office hours: Tuesday, Thursday 3 pm 4 pm
Assignments and Homeworks, 40 %
Quizzes, 20 %
MidExam, 20 %
Final Exam, 20 %
Homework  Solutions 
Homework 01  Solutions 
Homework 02  Solutions 
Homework 03  Solutions 
Homework 04  Solutions 
Week 0102
Course Overview, Motivation: Applications of data analysis on the sphere
Advanced operations on vectors, norm, angle, inner product
2sphere domain, Inner product , Hilbert space
Spherical harmonics, spectral domain characterization
Subspaces: Spacelimited, bandlimited, azimuthally symmetric and orderlimited subspaces