Course Overview
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.
Prerequisite(s)
- 50% in ELEX 7110
Credits
3.0
Domestic fees
$771.64
International fees are typically 3.4 times the domestic tuition. Exact cost will be calculated upon completion of registration.
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
Signal Theory and Processing (ELEX 7210) is offered as a part of the following programs:
- Indicates programs accepting international students.
- Indicates programs eligible for students to apply for Post-graduation Work Permit (PGWP).
School of Energy
- Electronics
Bachelor of Technology Part-time
Course Offerings
Winter 2027
Below is one offering of ELEX 7210 for the Winter 2027 term.
CRN 78203
Dates
Jan 05 - Apr 06 Loading
- CRN 78203
- $771.64 Domestic fees
Class meeting times
| Dates | Days | Times | Locations |
|---|---|---|---|
| Jan 05 - Apr 06 | Tue | 18:30 - 21:30 | Burnaby SW09 Rm. 117 |
Duration
14 weeks
Instructor
Gino Carrese
Course outline
Course outline TBD — see Learning Outcomes in the interim.
Registration requirements
Departmental approval is required to register for this course offering. You must have approval from the department to register. Students accepted into a program can register directly.
Important information
- Labs to be scheduled outside of class hours on Saturdays for a total of 18 hours, on a schedule to be determined on the first day of class. Registrants who are not BTech Electronics students must have approval from the program head.
Confirmation
Required
To proceed with registration and add this course to the cart, please confirm:
No approval yet? Request approval You must have approval from the department to register. Students accepted into a program can register directly.
Status
If you have any questions about this course, please contact us.
Programs and courses are subject to change without notice. Find out more about BCIT course cancellations.