ECE 3250 Mathematics of Signal and System Analysis

ECE 3250 Contents

Course Description
Syllabus
Lecture Notes and Handouts
Homework and Exams

Note: Projects and Labs are not available for this course.

Course Description

This course aims to deepen students’ working knowledge of mathematical tools relevant to Electrical and Computer Engineering applications. While the course emphasizes fundamentals, it also provides an Engineering context for the topics it covers.

Topics covered include foundational material about numbers, sets, and mappings; modular arithmetic and public-key cryptography; convergence of sequences and series; vector spaces of continuous- and discrete-time signals (e.g. bounded, absolutely summable/integrable, and squaresummable/ integrable signals); operations on discrete- and continuous-time signals, particularly convolution; linear time-invariant systems in both continuous and discrete time as linear mappings between vector spaces of signals; inner products and orthogonal expansions in Hilbert space, with applications to Fourier series and wavelets; Fourier transforms and frequency content of signals; sampling and interpolation theory; the DFT and FFT as applications of finite-dimensional linear algebra to signal analysis; z-transforms and Laplace transforms; and the singular value decomposition and its relevance to least-squares optimization and principal component analysis.

Instructor(s)

David F. Delchamps
329 Rhodes Hall Ithaca, NY 14853
Tel: 607-255-6447
Email: dfd1 at cornell.edu

Course Level

Undergraduate (junior level)

As Offered In

Fall 2015

Required Text(s)

None

Audio signal waveforms