British Columbia Institute of

Important Notice: COVID-19 Institute response


ELEX 7210 - Signal Theory and Processing

Electrical and Computer Engineering Part-time Studies Course

School of Energy

BCIT is planning for a substantial return to on-campus activity for the fall 2021 term as informed by BC Public Health Officer guidelines. Refer to each course listing for details.

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





Winter 2022

Below is one offering of this course for the Winter 2022 term.

CRN 78203

Tue Jan 04 - Tue Apr 05 14 Weeks

Class Meeting Times

Dates Days Times Locations
Jan 04 - Apr 05 Tue 18:30 - 21:30 BBY SW05 Rm. 1850


Gino Carrese

Course Outline

TBD – see Learning Outcomes in the interim




  1. Labs to be scheduled outside of class 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. Please contact Katie Howard at 604-432-8237 or for more information, or to be placed on a wait-list if the course is full. Note: BCIT reserves the right to cancel courses. In the event of a Part-time Studies course cancellation, you will be notified at least two business days prior to the course start. Please ensure that your contact information is current.

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

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