of 1 3 pages THE UNIVERSITY OF WESTERN ONTARIO FACULTY OF ENGINEERING DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING ECE 331a INTRODUCTION TO DIGITAL SIGNAL PROCESSING COURSE OUTLINE 2005 -2006 OBJECTIVE: This course covers the fundamental theories in digital signal processing (DSP). Basic sequences encountered in DSP are presented, and the fundamentals of sampling and system responses are introduced. The differences between the processing of periodic and aperiodic signals are discussed and time domain methods such as convolution of two signals is developed. Frequency domain methods, such as the DFS, DFT and FFT are presented, as is the Fourier Transform. Finally, the Z Transform is introduced as a tool for discrete time signal processing. CONTACT HOURS: 3 lecture hours/week; four 3-hour labs/semester; 0.5 course COREREQUISITES: AM 376b PREREQUISITES: ECE 233b Unless you have either the requisites for this course or written special permission from your Dean to enroll in it, you will be removed from this course and it will be deleted from your record. This decision may not be appealed. You will receive no adjustment to your fees in the event that you are dropped from a course for failing to have the necessary prerequisites. TOPICS: 1. Introduction to Digital Signal Processing - Basic Sequences - Impulse Comb and Discretization - Harmonics and Harmonically Related Sequences 2. Sampling Theory - Shannon's Sampling Theorem - Aliasing time domain - Aliasing frequency domain 3. Discrete Systems - Properties of Discrete Systems - Difference Equations - Block Diagrams 4. System Responses - Unit Sample/Impulse Response - Convolution Sliding Bar Analytical - General System Response - Characteristic Equation/Characteristic Roots - Initial Condition Response - Forced and Total Response
2 of 3 pages - Frequency Response - Steady State Response - Ideal Digital Filters 5. Discrete Fourier Series and Transform - Discrete Fourier Series (DFS) - Discrete Fourier Transform (DFT) - Relationship between DFT and Frequency Response - Convolution and the DFT 6. Circular Convolution - Zero Padding and Convolution - Block Filtering/Overlap Add Method 7. The Fast Fourier Transform - Relationship to DFT - Calculation Method 8. Spectral Analysis - Windows 9. Fourier Transforms and Frequency Domain Operations - Definition and Properties of the Fourier Transform - Common Functions - Windows, Filtering and Leakage - Gibbs Phenomenon 10. Common Filters - Butterworth Lowpass Prototype - Chebyshev Lowpass Prototype 11. The Z Transform (time permitting) - Definition and Properties - Standard Transforms - Convolution and the Z Transform - Inverse Z Transform - Transfer Functions and the Z Transform SPECIFIC LEARNING OBJECTIVES: 1. Students will gain an understanding of the basics of Digital Signal Processing, including how to determine the response of DSP systems under different conditions. 2. Students will be able to program basic filters and DSP functions in Matlab 3. Students will understand the difference between the time frequency and domains, and how functions in each domain operate on data. 4. Students will be able to differentiate between the DFT, FFT and the Fourier Transform. TEXTBOOK: "Digital Signal Processing; Principles, Algorithms and Applications, 3/E" by John G. Proakis and Dimitris Manolakis. CEAB UNITS: ES 64%; ED 36% LABORATORIES: There are four laboratory exercises in this course. Lab manuals will be available in the Bookstore shortly after the course begins.
3 of 3 pages EVALUATION: The final grade will be based on the result of a two-hour mid-term test, a three-hour final examination and performance in the laboratory. The examination shall be limited open book. Use of calculators, including large memory programmable calculators is permitted. To obtain a passing grade in the course a mark of 50% or more must be achieved on the final examination. A final examination mark <50% will result in a final course grade of 48% or less. For the purpose of evaluation, the course is divided into two components, namely lecture and laboratory. In order to pass the course, the student must obtain a passing grade in each component. A student who fails either component shall receive a final grade not greater than 48%. The weights for the components are shown below: Maximum Penalties * Component Weight English Presentation a) Lecture i) mid-term test (2 hours) 20% 5% 5% ii) examination (3 hours) 60% 5% 5% b) Laboratory 20% 20% 20% All work will be marked first for content after which a penalty not to exceed the maximum shown above may be applied for lack of proficiency in English and/or presentation. * In accordance with the policy of the University, the grade assigned to all written and oral work presented in English shall take into account syntax, diction, grammar, and spelling. In addition, in the professional life of an engineer, the manner in which oral and written communications are presented is extremely important. An engineering student must develop these skills as an integral part of the undergraduate program. To encourage the student to do so, the grades assigned to all written and oral work will take into account all aspects of presentation including conciseness, organization, neatness, use of headings, and the preparation and use of tables and figures. ATTENDANCE: Any student who, in the opinion of the instructor is absent too frequently from class or laboratory periods in any course, will be reported to the Dean (after due warning has been given). On the recommendation of the Department concerned, and with the permission of the Dean, the student will be debarred from taking the regular examination in the course. PLAGIARISM: University policy states that cheating, including plagiarism, is a scholastic offence. The commission of a scholastic offence is attended by academic penalties that might include expulsion from the program. If you are caught cheating, there will be no second warning. (see Scholastic Offence Policy in the Western Academic Calendar). COURSE INSTRUCTOR: S. Primak TEB 263