COURSE OBJECTIVE
To introduce the fundamentals of digital signal processing and related
applications. This course will cover linear system analysis, z-transform,
discrete Fourier transform (DFT) and its applications, FFT algorithms,
digital filter (FIR and IIR) design and multi-rate signal processing.
TEXTBOOK
J. Proakis and D. Manolakis (1996). Digital
Signal Processing: Principles, Algorithms and Applications, (3rd
edition), Prentice Hall.
ASSIGNMENTS
The course requirements consist of:
Course announcements and downloads (Spring 2000)
TENTATIVE SCHEDULE
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Date |
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1/10 | Continuous and discrete-time signals, intro to MATLAB | 1.3 |
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1/17 | Analog-to-digital and D/A conversion, sampling theorem | 1.4 |
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1/24 | Discrete-time signals, discrete-time systems, analysis of discrete-time LTI systems | 2.1, 2.2, 2.3 |
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1/31 | Correlation of discrete-time signals, Z-transform | 2.6, 3.1 |
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2/7 | Properties of the Z-transform, rational z-transforms | 3.2, 3.3 |
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2/14 | Inversion of the Z-transform, analysis of LTI systems in the z-domain | 3.4, 3.6 |
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2/21 | Frequency-analysis of continuous-time signals, frequency analysis of discrete-time signals | 4.1, 4.2 |
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2/28 | Properties of the Fourier transform for discrete-time signals, frequency-domain characteristics of LTI systems | 4.3, 4.4 |
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3/6 | SPRING BREAK | |
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3/13 | Frequency-domain sampling: The DFT, Properties of the DFT | 5.1, 5.2 |
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3/20 | Linear-filtering methods based on the DFT, frequency analysis of signals using the DFT, efficient computation of the DFT: FFT algorithms | 5.3, 5.4, 6.1 |
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3/27 | Structures for the realizations of discrete-time systems, structures for FIR systems, structures for IIR systems | 7.1, 7.2, 7.3, |
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4/3 | Quantization
and round-off effects in digital filters
Design of digital filters, design of FIR filters |
7.6,
7.7
8.1, 8.2 |
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4/10 | Design of FIR filters, design of IIR filters from analog filters | 8.2, 8.3 |
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4/17 | Frequency transformations, design of filters based on least-squares method | 8.4, 8.5 |
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4/24 | Multi-rate digital signal processing: Decimation by a factor D, interpolation by a factor I, sampling rate conversion by a rational factor I/D | 10.1, 10.2, 10.3, 10.4 |
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