ELG3125 Signal and System Analysis
Fall 2012
Professor: Jianping Yao
Office: SITE 5005
Tel: 562-5800 ext: 6309, Email: jpyao@eecs.uottawa.ca
TEXT BOOK: A.V.Oppenheim, A.S. Willsky, Signals & Systems, 2nd Ed., Prentice-Hall.
REFERENCE: Vinay K. Ingle, John G. Proakis
Digital Signal Processing Using MATLAB, 1st Ed., Thomson Brooks/Cole.
COURSE WEBPAGE:
http://www.site.uottawa.ca/~jpyao/courses/E3125_Fall_2011.html
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| LEC 1 | Wednesday | 13:00 - 14:30 | LPR 155 | |
| LEC 2 | Friday | 11:30 - 13:00 | LPR 155 | |
| DGD | Wednesday | 17:30 - 19:00 | LEE A131 | |
| LAB 1 | Tuesday | 11:30 - 13:00 | STE 0130 | |
| LAB 2 | Tuesday | 17:30 - 19:00 | STE 0130 | |
| LAB 3 | Tuesday | 17:30 - 19:00 | STE 0131 | |
MARKING SCHEME:
Quizzes 25% (lab quizzes 15%, assignment quizzes 10%)
Midterm 25%
Final 50%
Midterm date and time: Wednesday Oct 10, 2012 during the tutorial.
QUIZZES:
Closed-book quizzes (about 10) based on the assignment
questions will be given at the beginning of the tutorials.
Closed-book quizzes (about 3) based on the labs will
be given at the beginning of the tutorials.
OFFICE HOURS:
Jianping Yao, Monday 14:30-17:00, Wednesday 14:30-17:00, STE 5005
TA: TBD
TUTORIALS:
Selected problems in the assignments and additional problems will
be solved in the tutorials by a teaching assistant.
COURSE CONTENT:
1. Introduction (Sections 1.0-1.6)
- Definitions
- Continuous-time and Discrete-time Signals
- Periodicity
- Even and Odd signals
- Complex Exponential and Sinusoidal Signals (Euler's Function)
- Impulse and Step Functions
- Continuous and Discrete-time Systems
- Basic System Properties
- Causality
- Stability
- Time Invariance
- Linearity
- Invertibility
- Systems with or without Memory
2. LTI Systems
(Sections 2.0-2.4 in text)
- Discrete-Time LTI Systems and the Convolution Sum
- Continuous-Time LTI Systems and the Convolution Integral
- Properties of LTI Systems
- Causal LTI Systems and Their Differential or Difference Equation Representations
3. Fourier Series Representation of Periodic Signals
(Sections 3.2-3.4 and 3.6)
- Response of LTI Systems to Complex Exponential Inputs
- Fourier Series Representation of Continuous Time Periodic Signals
- Complex Exponential Fourier Series
- Sinusoidal Fourier Series
- Convergence of Fourier Series
- Fourier Series Representation of Discrete-Time Periodic Signals
- Expansion of signals using orthogonal functions (additional notes)
4. Fourier Transform
(Sections 4.1-4.6, 8.1-8.3, and 5.1-5.8)
- Fourier Transforms of Continuous Time Aperiodic Signals
- Fourier Transforms of Continuous-Time Periodic Signals
- Properties of the Continuous-Time Fourier Series
- Linearity
- Time Shifting
- Conjugation and Conjugate Symmetry
- Differentiation and Integration
- Time and Frequency Scaling
- Duality
- Parseval's Theorem
- Convolution Property
- Multiplication and Modulation Properties
- Presentation of the Theory of Amplitude Modulation using the Fourier Transform
- Discrete-Time Fourier Transform (DFT) for Aperiodic and Periodic Signals
- Properties of the DFT (very similar to Properties of Continuous-Time FT)
- Systems Characterized by Linear Constant-Coefficient Difference Equations
5. Filters
(Sections 6.2, 3.9-3.11, 6.3-6.6)
- Magnitude-Phase Representation of the Frequency Response of LTI Systems
- Frequency Shaping and Frequency Selective Filters
- Simple RC Lowpass and Highpass Filters
- Example of Discrete-Time Filters Described by Difference Equations
- Time-Domain Properties of Ideal Frequency Selective Filters
- Time and Frequency Domain Characteristics of Nonideal Frequency Selective Filters
- First and Second Order Continuous and Discrete-Time Systems
- Bode Plots
6. Sampling
(Sections 7.1-7.4)
- Representation of a Continuous-Time Signal by its Samples
- Sampling Theorem
- Reconstruction of Continuous-Time Signal from its Samples
- Effect of Undersampling (Aliasing)
- Discrete-Time Processing of Continuous-Time Signals
- Interpolation
7. Laplace Transform
(Sections 9.1-9.3, 9.5,9.7 and 9.9)
- Definition of the Laplace Transform
- Convergence of the Laplace Transform
- Inverse Laplace Transform
- Properties of Laplace Transform
- Analysis of LTI Systems using the Laplace Transform
- The Unilateral Laplace Transform
Last update: 22 August 2012.
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