Discrete-Time Signal Processing
Fall 2005
This class addresses the representation, analysis, and design of discrete time signals and systems. The major concepts covered include: Discrete-time processing of continuous-time signals; decimation, interpolation, and sampling rate conversion; flowgraph structures for DT systems; time-and frequency-domain design techniques for recursive (IIR) and non-recursive (FIR) filters; linear prediction; discrete Fourier transform, FFT algorithm; short-time Fourier analysis and filter banks; multirate techniques; Hilbert transforms; Cepstral analysis and various applications. Acknowledgements ---------------- I would like to express my thanks to **Thomas Baran**, **Myung Jin Choi**, and **Xiaomeng Shi** for compiling the lecture notes on this site from my individual lectures and handouts and their class notes during the semesters that they were students in the course. These lecture notes, the text book and included problem sets and solutions will hopefully be helpful as you learn and explore the topic of Discrete-Time Signal Processing.
Readings
- Prentice Hall bundles both the text and the MATLAB® book under ISBN: 0130847127.
- Turek, D. B. “Design of Efficient Digital Interpolation Filters for Integer Upsampling.” Master’s thesis, Massachusetts Institute of Technology, June 2004.
- Diamond, J. “Human Stress Provoked By Digitalized Recordings: Introducing Life Energy Plus™.” Journal of the Audio Engineering Society 28, no. 9 (September 1980): 613. Modified and with a postscript, 2003.
- Goyal, V. K. “Theoretical foundations of transform coding.” Signal Processing Magazine, IEEE 18, no. 5 (September 2001): 9-21.
- Russell, A. “Efficient rational sampling rate alteration using IIR filters.” Signal Processing Letters, IEEE 7, no. 1 (January 2000): 6-7.
- Rabiner, L. “The Chirp Z-Transform Algorithm - A Lesson in Serendipity.” Signal Processing Magazine, IEEE 21, no. 2 (March 2004): 118-119.
- Cooley, J. W. “How the FFT Gained Acceptance.” Signal Processing Magazine, IEEE 9, no. 1, (January 1992): 10-13.
- Heideman, M., D. Johnson, and C. Burrus. “Gauss and the History of the Fast Fourier Transform.” ASSP Magazine, IEEE 1, no. 4 (October 1984): 14-21.
- Aziz, P. M., H. V. Sorensen, and J. van der Spiegel. “An Overview of Sigma-Delta Converters.” Signal Processing Magazine, IEEE 13, no. 1 (January 1996): 61-84.
- Oppenheim, A. V., and R. W. Schafer. “From Frequency to Quefrency: A History of the Cepstrum.” Signal Processing Magazine, IEEE 21, no. 5 (September 2004): 95-106.
- Lim, Jae S., and Alan V. Oppenheim, eds. Advanced Topics in Signal Processing . Englewood Cliffs, NJ: Prentice Hall, 1988.
Sources
- Course catalogue ↗Historical OpenCourseWare
- MIT OCW syllabus ↗
- MIT OCW readings ↗
- Historical MIT OpenCourseWare offering. Named reading entries and schedule topics are automatically extracted from the linked source pages.