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Signal Theory and Processing ELEX 7210

Electrical and Computer Engineering Course

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.

Prerequisite(s)

Credits

3.0

Cost

$697.89

Course offerings

Winter 2023

Below is one offering of ELEX 7210 for the Winter 2023 term.

CRN 78203

Duration

Tue Jan 10 - Tue Apr 11 (14 weeks)

  • 14 weeks
  • CRN 78203
  • $697.89
Class meeting times
Dates Days Times Locations
Jan 10 - Apr 11 Tue 18:30 - 21:30 Burnaby SW05 Rm. 1850
Instructor

Gino Carrese

Course outline

Course outline TBD — see Learning Outcomes in the interim.

Cost

$697.89

Important information
  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 khoward18@bcit.ca 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 course cancellation, you will be notified at least two business days prior to the course start. Please ensure that your contact information is current in your myBCIT account.
Status

In Progress

This course offering is in progress. Please check back next term, subscribe to receive email updates or contact us with your comments or questions.

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:

School of Energy

  1. Electronics
    Bachelor of Technology Part-time

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  • Privacy Notice: The information you provide will be used to respond your request for BCIT course information and is collected under Section 26(c) of the Freedom of Information and Protection of Privacy Act (FIPPA). For more information about BCIT’s privacy practices contact: Associate Director, Privacy, Information Access & Policy Management, British Columbia Institute of Technology, 3700 Willingdon Ave. Burnaby, BC V5A 3H2, email: privacy@bcit.ca.