Welcome:

This is a graduate course in the Department of Electrical and Computer Engineering at The University of Calgary, Alberta, Canada. If necessary, go to my preparation notes.

Course Information:

Download Course Information in PDF format.   This document describes the organization of the course and a summary statement about prerequisite knowledge.

Calendar Outline:

Characterization of multidimensional (MD) signals, the MD Laplace, Fourier and Z transforms. Practical analog and digital signals and their MD energy density spectra. Aliasing, convolution, boundary conditions, causality, and stability in MD.  Characterization of linear shift-invariant systems using MD transform transfer functions. State variable representations of MD systems. Elementary decompositions of MD transfer functions and bounded-input bounded-output stability. Design and implementation of MD digital filters. Applications of MD signal processing in engineering systems. Two- and three-dimensional digital signal processing in seismic, sonar, imaging and broadcast television.

Schedule:

Tuesdays:   9.00 – 10.15 a.m.
Thursdays: 9.00 – 10.15 a.m.

Content and Delivery:

The course is intended for students wishing to pursue research in multidimensional or multimedia signal processing with applications in image and real-time video processing.  The content of the course is a mix of lectures and discussions with reading and Matlab-based assignments.  The lectures are based on key results from the literature and the discussions are based on reading and other assignments.

Students are strongly advised to review the undergraduate Learning Units for the course Enel593 Digital Filters as preparation for this course.  They may be downloaded in PDF format:

Download Enel 593 Digital Filters Learning Units

You may wish to consult the Revision List.

Review Question (Word) - Fourier Transform of a Windowed Gate Function

Enel 699 Course Notes:

The copyrighted (incompleted) course notes are available in PDF format:

Chapter 1  - An Introduction To Signals and Functions
Chapter 2  - An Introduction To Multidimensional Signals and Functions
Chapter 3  - Linear Trajectory and Plane Wave Signals and Functions
Chapter 4 -  Energy and Power
Chapter 5 - The Fourier Series
Chapter 6 - The Fourier Transform
Chapter 7 - MD Continuous-Domain Systems
Chapter 8 - MD Discrete-Domain Systems

Len Bruton

January 2003