EE 6360: DIGITAL SIGNAL PROCESSING I

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:

• homework assignments from the book, and MATLAB computer assignments
• one computer project
• two in-class exams and one final exam (comprehensive).
Homework
and computer assignments:     40%
Project :                                     10%
Exams :                                      30% (2x15)
Final Exam :                              20%

TENTATIVE SCHEDULE

 Week Date Topic Chapter 1 1/10 Continuous and discrete-time signals, intro to MATLAB 1.3 2 1/17 Analog-to-digital and D/A conversion, sampling theorem 1.4 3 1/24 Discrete-time signals, discrete-time systems, analysis of discrete-time LTI systems 2.1, 2.2, 2.3 4 1/31 Correlation of discrete-time signals, Z-transform 2.6, 3.1 5 2/7 Properties of the Z-transform, rational z-transforms 3.2, 3.3 6 2/14 Inversion of the Z-transform, analysis of LTI systems in the z-domain 3.4, 3.6 7 2/21 Frequency-analysis of continuous-time signals, frequency analysis of discrete-time signals 4.1, 4.2 8 2/28 Properties of the Fourier transform for discrete-time signals, frequency-domain characteristics of LTI systems 4.3, 4.4 9 3/6 SPRING BREAK 10 3/13 Frequency-domain sampling: The DFT, Properties of the DFT 5.1, 5.2 11 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 12 3/27 Structures for the realizations of discrete-time systems, structures for FIR systems, structures for IIR systems 7.1, 7.2, 7.3, 13 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 14 4/10 Design of FIR filters, design of IIR filters from analog filters 8.2, 8.3 15 4/17 Frequency transformations, design of filters based on least-squares method 8.4, 8.5 16 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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