Digital Signal Processing

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Digital Signal Processing

ECE 5750

Fall 2012

M/W 3:30-4:45PM

Scott T. Acton, Rice Hall 032 and on-line


Office Hours: Tuesday 2:30-3:30 PM, Thursday 4:45-5:45 PM, or by appointment (via email). Please feel free to ask questions via email at any time.

TA's: Please contact the TA's regarding homework questions, Matlab questions, etc. The TA's are responsible for all homework grading and re-grading. (If you want your homework re-graded, please see Kirill Orlov in C315.)

Kirill Orlov,, 434-924-6103. Office Hours: W 5-6PM.

Jiong Wang,, 434-924-4312. Office Hours: Tu 5-6PM.

Note to off-site students: This is an on-line, synchronous course. See additional information:

Prerequisites: ECE 3750/3760 or equivalent (Signals and Systems I and II). Students will use Matlab for completing assignments. Note that Matlab programming itself will not be taught and that most students will have prior Matlab programming experience.

Text: Discrete-time Signal Processing, Oppenheim and Schafer with Buck, Prentice Hall, 1999 – required. Lecture notes will be made available to the students via the toolkit.


  1. Introduction - Analog versus digital processing.

  2. Review of Basic Time Domain Concepts for Discrete-time Signals and Systems - Discrete linear systems, unit pulse response, convolution, stability, frequency response, difference equations, properties of Fourier transform.

  3. Review Z-Transform and Application to LTI Sytems - One-sided Z-transform, definition and properties, two-sided Z-transform, convergence, inversion, stability and causality.

  4. Transform Analysis / Frequency Domain Concepts – Fourier transform and properties, Frequency response, Fourier series, Fourier transform of sequences, sinusoidal response.

  5. Sampling – A-to-D, frequency-domain representation, reconstruction (D-to-A), the Sampling Theorem.

  6. Digital Filter Design I - FIR filter design, windowing.

  7. Digital Filter Design II - IIR filter design, analog prototypes, impulse invariance, bilinear transformation, lowpass-to-otherpass transformations.

  8. Discrete Fourier Transform - Inversion and properties, cyclic convolution, uniqueness of DFT for convolution, linear convolution via DFT, introduction to the FFT.

  9. Quantization Effects – Filter coefficient quantization, input signal quantization, arithmetic roundoff, arithmetic overflow, zero-input limit cycles.

  10. Multi-rate Processing and Subband Filter Banks – Sampling rate conversion, narrowband Fourier transform, short-time Fourier transform and spectrogram, subband decomposition and wavelets.

  11. Nonlinear Filters – Noise smoothing, median filter, order statistic filters, the Teager operator.

  12. Introduction to Digital Signal and Image Coding – Lossless coding, Huffman codes, lossy coding, JPEG, vector quantization, wavelets.

Homework: Homework will be assigned periodically throughout the semester and will be collected at the beginning of class on the due date (usually Thursday).

Mini-Project: Each student will choose and complete a term project that involves concepts/applications from the class. A short report in IEEE conference format (about 4 pages) will be required.

Exams: There will a one-hour midterm and a comprehensive final examination. During the midterm exam, a single 8 1/2" x 11" sheet of notes (single-sided) will be permitted. In the final, two such sheets may be used. Photocopying is not allowed on the note sheets. If you must miss an exam due to circumstances beyond your control, you must notify me (prior to the exam, if possible) so that arrangements can be made. Make-up exams will not be administered to accommodate a "busy" schedule. If you miss an exam, you will be given a 0 grade for that exam. Any movement of the final exam must be scheduled during the first two weeks of class.

Grading: Semester grades will be based on the overall class performance. The weighting is as follows:

Midterm 25%

Final Exam 35%

Assignments 30%

Mini-Project 10%

Class Attendance: There will be no records taken of attendance. However, students are responsible for all material covered in class, even if the material is not in the text or the notes. The expected workload is 6-9 hours outside of class each week.

Late Assignments: Please hand in assignments on time (at the beginning of the class on the due date). Assignments handed in the same day after the start of class will be subject to a 10% penalty. Homework handed in the next day will have a 25% penalty. After that point, late homework will not be accepted. This includes the project.

Honor Statement: Students are permitted to work in groups on homework assignments, but must complete and turn in individual homework write-ups. Computer programs must be individually written. Copying a Matlab (or other) program will be considered an honor violation. Cite all references on your term project. Plagiarism within the project will not be tolerated. Plagiarism includes copying written material and copying computer software.

Disability: If any member of the class feels that he/she has a disability and needs special accommodations of any nature whatsoever, I will work with you and the University to provide reasonable accommodations to ensure that you have a fair opportunity to perform in this class. Please advise me of any such disability and the desired accommodations at the earliest possible time -- on the first day of class if possible.

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