Course Outline
|
Week |
Date |
Lecture 1 |
Lecture 2 |
Lecture 3 |
Tutorials Problems |
Exams, Due dates |
|
|
1 |
Jan 9 |
Ch 1: Motivation and Introduction |
Ch 2.0-2.9: Discrete-Time LTI System and Discrete-Time Fourier Transform |
Ch 2.0-2.9: Linear Difference Equation and more DTFT. |
2.45, 2.53, 2.57, 2.60 |
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2 |
Jan 16 |
Ch 4.1-4.2: Sampling and Nyquist Theorem. Relation between DTFT and CTFT |
Relation between DFT and DTFT: Windowing, Spectral resolution and Spectral leakage (for Lab 1: Text Ref: 8.3, 10.2) |
Ch 4.3: Ideal Reconstruction; Practical Reconstruction (see O&W: 7.1-7.2) |
4.21, 4.22, 4.56. |
Lab 1 |
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3 |
Jan 23 |
Ch 4.4: Discrete-Time Processing of Continuous Signals. Delay example. |
Ch 4.4: Example: Digital differentiator |
Ch 4.4: Impulse invariance method for designing digital filters |
4.25, 4.30, 4.31, plus O&W: 7.41 |
Lab 1 |
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4 |
Jan 30 |
Ch 4.4: Impulse invariance example. Lab 1 hints: circular convolution, upsampling |
Ch 4.6: Changing the Sampling Rate |
Ch 4.8-4.9.2: Quantization. Oversampling and Noise Shaping. |
4.26, 4.37, 4.41, 4.44 |
|
Lab 1 due: Feb 3 |
|
5 |
Feb 6 |
Ch 8.1-8.2 Discrete-time Fourier Series |
Ch 8.4-8.5: DFT as sampling of DTFT |
Ch 8.6-8.7: Linear and circular convolutions |
8.9, 8.21, 8.23, 8.29, 8.43 |
Lab 2 |
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|
6 |
Feb 13 |
Review |
Ch 8.7 Implementing LTI systems using DFT |
Take up the midterm exam |
|
Lab 2 |
Midterm: Feb 15 |
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-- |
Feb 20 |
-- |
-- |
-- |
-- |
-- |
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|
7 |
Feb 27 |
Application of DFT: OFDM systems |
Application of DFT: OFDM systems |
Application of DFT: Digital Interpolator via FFT (see, question 8.67 on p.627.) |
DFT and DTFT review |
|
Lab 2 due: March 3 |
|
8 |
March 6 |
Ch 9.3: FFT Algorithm: Decimation-in-Time |
Ch 9.4: FFT Algorithm: Decimation-in-Frequency |
Ch 10.1-10.4: Short-term Fourier Transform; Windowing |
8.32, 8.33, 8.42, 8.36, 8.40, 8.64 + OFDM |
Lab 3 |
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|
9 |
March 13 |
Ch 3.1: Z-transform |
Ch 3.2: Region of Convergence for Z-transforms |
Ch 3.3: Inverse Z-transform, Partial fraction expansion |
9.1, 9.5, 9.31, 9.32, 9.49, |
Lab 3 |
|
|
10 |
March 20 |
Ch 5.1-5.2: Linear difference equations and LTI systems |
Matlab Demo: Short-time Fourier Transform; FIR/IIR Filter Response (Wednesday/Friday) |
Lab Demo: FIR/IIR Filter Implementation (Thursday GB150) |
10.17, 10.23, 3.6, 3.9, 3.36 |
|
Lab 3 due: March 24 |
|
11 |
March 27 |
Ch 5.3: Poles and zeros |
Ch 5.4-5.6: All-Pass Systems and Minimum-Phase Systems |
Ch 7.0-7.1: IIR Filter design: bilinear transformation |
5.5, 5.10, 5.18c, 5.21, 5.59 |
Lab 4 |
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12 |
April 3 |
Ch 7.1: IIR Filter design by impulse invariance |
Ch 7.2: FIR Filter design by windowing |
Ch 6.1-6.3: Implementing LTI systems. Signal flow graph. Direct forms, Cascade form and Parallel form for IIR filters |
5.35, 5.36, 5.64, 7.4, 7.9, 7.10 |
Lab 4 |
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13 |
April 10 |
Ch 6.4, 6.5.1-6.5.2: Transposed System; Discrete-time FIR Systems; Course Evaluation |
Review |
-- |
7.15, 6.3, 6.10, 6.23, 6.25, 6.26, 6.29 |
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Lab 4 due: April 13 |
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April 25 |
Tuesday 9:30am-12noon |
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Final Exam |
This schedule is dynamically updated as the course
progresses. The chapter numbers are from Oppenheim
and Schafer unless otherwise specified. Occasionally, materials are drawn from Oppenheim and Willsky (O&W).
We will post O&W materials in the course handout page. The solutions to the
homework questions are also posted as handouts.
Note that the notations for discrete frequency and continuous frequency in
O&S and O&W are opposite of each other.
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