British Columbia Institute of


ELEX 7210 - Signal Theory and Processing

Electrical and Computer Engineering Part-time Studies Course

School of Energy

Course Details

This course is divided into two parts. Approximately 40% of the course time is devoted to continuous time signal processing and 60% to discrete time signal processing. The continuous time section of the course starts with a general overview of analog filter types and the approximation problem. Transfer functions for various filter types, typically Butterworth, Chebyshev, Cauer and Bessel, are then derived. Transformations from normalized low-pass to high-pass, band-pass, and band-reject and also scaling are covered. Various circuits to realize the resulting transfer functions are analyzed and implemented in the laboratory. The discrete time section starts with a review of the properties of sine waves including discrete time representation. Spectrum representation is examined and various Fourier series representations are covered. Sampling and aliasing are examined followed by an examination of the basics of FIR filters. Techniques for designing FIR filters are presented. The z-transform is developed, followed by an examination of recursive filters. Various s-plane to z-plane transformations are presented and design techniques for recursive filters are covered. The theory is strongly supported by several design projects which are implemented and tested in the laboratory.


ELEX 7110



This course isn't currently offered through BCIT Part-time Studies. Please check back next term or subscribe to receive email updates.

Learning Outcomes

Physical System Modeling

  • Derive continuous and discrete time mathematical models using both time domain and transform approaches for physical systems such as electric circuits, mechanical systems, thermal systems, and hydraulic systems based on first principles.
  • Fit models to empirical data using model validation criteria.
  • Write dynamic computer simulation programs for physical systems.
  • Investigate the properties of mathematical models using a variety of model structures.

Continuous Time and Discrete Time Fourier Transform

  • Outline the fundamental ideas of Fourier analysis such as the continuous and discrete Fourier Transforms and series, the inverse transforms, and the properties of the Fourier models.
  • Draw Bode plots for frequency responses.
  • Perform time and frequency domain analysis of systems such as automobile suspensions and non-recursive filters.
  • Use computational algorithms such as the FFT and computer software to analyze real data.

Sampling Considerations

  • Design a sampling system taking into account the appropriate choice of sampling rate, aliasing and quantization considerations.
  • Outline the mathematical descriptions of the sampling operation most often used in practice.
  • Reconstruct sampled data using the most common signal reconstruction techniques.

Communication Systems and Modulation

  • Outline the most common modulation schemes used in communication systems and their relation to the Fourier transform.

Effective as of Fall 2003

Related Programs

ELEX 7210 is offered as a part of the following programs:

School of Energy

  1. Electronics
    Part-time   Bachelor of Technology


Interested in being notified about future offerings of ELEX 7210 - Signal Theory and Processing? If so, fill out the information below and we'll notify you by email when courses for each new term are displayed here.

Contact Information

Suggest course days and times

If you are interested in taking this course on-campus (classroom delivery only) and would like to see it offered on specific days and/or at specific times, please indicate your preferences below. Day and time suggestions are not applicable to online courses.

The personal information on this form is collected under the authority of the College and Institute Act (RSBC 1996, Ch.52). BCIT will use this information to communicate with you regarding relevant BCIT programs, courses and services. This information is only used by authorized BCIT staff. Email communication sent to and from BCIT is routed through the United States of America. If you have any questions about BCIT's collection and use of this information, please contact BCIT’s manager of Information Access and Privacy.

Programs and courses are subject to change without notice.

Find Courses

Payment Changes At BCIT

We've changed the way we accept payments.

Find out more

Course Navigation, Related Links & Tools

Registration News

Registration is now open for the Fall 2018 term.

Classroom Locations

Classroom locations are subject to last minute changes. Please check the Part-time Studies Classroom Locations listing at on the first day of any course you are registered for.

Part-time Studies Financial Aid

Will you be studying at BCIT part-time? Do you need assistance funding your studies? Find out if you qualify for Part-time Studies financial aid ›