Course Outline
|
Week |
Date |
Lecture 1 |
Lecture 2 |
Lecture 3 |
Tutorials Problems |
Lab |
|
1 |
Jan 7 |
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 |
Jan 14 |
Ch 4.1-4.2: Sampling and Nyquist
Theorem. Relation between DTFT and CTFT |
Ch 4.4: Discrete-Time Processing of Continuous Signals. Delay example |
Ch 4.4: Example: Digital differentiator |
2.45, 2.53, 2.57, 2.60 |
Lab 1 |
|
3 |
Jan 21 |
Ch 4.4: Impulse invariance method for designing digital filters |
Ch 4.6: Changing the Sampling Rate; Downsampling |
Ch 4.6: Upsampling and digital reconstruction |
4.21, 4.22, 4.56 |
Lab 1 |
|
4 |
Jan 28 |
Ch 4.3: Ideal Reconstruction; Practical Reconstruction (see O&W: 7.1-7.2) |
Ch 4.8-4.9.2: Quantization. Oversampling and
Noise Shaping. |
Ch 4.9.2: Sigma-Delta modulator |
4.25, , 4.30, 4.31, plus O&W: 7.41 |
|
|
5 |
Feb 4 |
Ch 4.9.2: Time-domain picture of Sigma-Delta. |
Ch 8.4: Discrete Fourier Transform; |
Ch 8.5: DFT as sampling of DTFT; Windowing, Spectral resolution and Spectral leakage |
4.26, 4.37, 4.41, 4.44 |
Lab 2 |
|
6 |
Feb 11 |
Ch 8.1-8.3: Discrete-time Fourier Series; Relation between DTFS and DFT |
Ch 8.6-8.7: Linear and circular convolutions |
Ch 8.7 Implementing LTI systems using DFT |
8.9, 8.21, 8.23, 8.29, 8.43 |
Lab 2 |
|
|
|
study break |
|
|
|
|
|
7 |
Feb 25 |
Application of DFT: Digital Interpolator via FFT (see, question 8.67 on p.627.) |
Midterm Review |
Application of DFT: OFDM systems |
8.32, 8.33, 8.42, 8.36, 8.40, 8.64 |
midterm |
|
8 |
March 3 |
Application of DFT: OFDM systems |
|
Ch 9.3: FFT Algorithm: Decimation-in-Time |
Take up the midterm |
Lab 3 |
|
9 |
March 10 |
Ch 9.4: FFT Algorithm: Decimation-in-Frequency |
Ch 10.1-10.4: Short-term Fourier Transform; Windowing. Matlab Demo. |
Ch 3.1-3.2: Z-transform and the Region of Convergence for Z-transforms |
9.1, 9.5, 9.32, 9.49 |
Lab 3 |
|
10 |
March 17 |
Ch 3.3: Inverse Z-transform, Partial fraction expansion |
Ch 5.1-5.2: Linear difference equations and LTI systems |
Ch 5.3: Poles and zeros. |
10.17, 10.23, 3.6, 3.9, 3.36 |
|
|
11 |
March 24 |
|
Ch 5.4-5.6: All-Pass System and Minimum-Phase Systems |
Ch 7.2.1: FIR Filter design by windowing |
5.5, 5.18c, 5.21, 5.59, 5.35, 5.36 |
Lab 4 |
|
12 |
March 31 |
Ch 7.2.2 Relation between window shape and filter characteristics, e.g. peak approximation error and transition band width |
Ch 7.0-7.1: IIR Filter design: bilinear transformation |
Ch 7.1: IIR Filter design by impulse invariance |
5.64, 7.4, 7.9, 7.10, 7.15 |
Lab 4 |
|
13 |
April 7 |
Ch
6.1-6.3: Implementing LTI systems. Signal flow graph. Direct forms, Cascade
form and Parallel form for IIR filters |
Ch 6.4, 6.5.1-6.5.2: Transposed System; Discrete-time FIR Systems;
Adaptive Filtering (optional) |
Review; Course Evaluation |
6.3, 6.10, 6.23, 6.25, 6.26, 6.29 |
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Final Exam: April 15 -- May 1 |
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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.
Last modified: 1/7/2008