University of California, Santa Barbara Department of Electrical and Computer Engineering Course Syllabus ECE 130C Signal Analysis and Processing (Elective) 4 units Catalog Description: Basic techniques for the analysis of linear models in electrical engineering: Gaussian elimination, vector spaces and linear equations, orthogonality, determinants, eigenvalues and eigenvectors, systems of linear differential equations, positive definite matrices, singular value decomposition. Prerequisites: ECE 130A and 130B Text, References, and Software: Linear Algebra and its Applications by G. Strang. Topics Covered and Course Goals: 1. MIMO systems. 2. Matrix Arithmetic, Gaussian Elimination and LU factorization. 3. Applications to circuit analysis. 4. Orthogonality, Gram-Schmidt, QR factorization and least-squares problems. 5. Determinants, eigenvalues and eigenvectors. 6. Systems of Differential and Difference equations. Class/Laboratory Hours: Lecture 3 hours, Discussion 2 hours. Contribution to Criterion 5 Contributes to the one and one-half year of engineering topics, primarily engineering sciences. Basic mathematics required by later engineering classes. Contribution to Program Outcomes: Course Goals P1 P2 P3 P4 P5 P6 1 x 2 x 3 x 4 x 5 x 6 xPrepared by: Shivkumar Chandrasekaran Date: April 28,