**Department of Electrical and Computer Engineering
The Johns Hopkins University
Fall 2018**

**Instructor**- Prof. Trac D. Tran

Address: 215 Barton Hall

Phone: (410) 516-7416

Email: trac@jhu.edu

Office Hours : Mon 2-4 or by appointment

- Prof. Trac D. Tran

**TA**- Shuwen Wei

Address: Barton 223C

Email: swei14@jhu.edu Office Hours : Thurs 2-4 in Barton 223C or by appointment

- Shuwen Wei

**Lectures**- Mon Wed Fri, 11:00 - 11:50, Shaffer 304

**Homework Assignments**- Problem Set I, due Sep 14 in class.
- Problem Set II, due Sep 21 in class.
- Problem Set III, due Sep 28 in class.
- Problem Set IV, due Oct 5 in class.
- Problem Set V, due Oct 22 in class.
- Problem Set VI, due Nov 2 in class.
- Problem Set VII, due Nov 16 in class.
- Problem Set VIII, due Nov 26 in class.

**Texts**- G. Strang and T. Q. Nguyen,
*Wavelets and Filter Banks,*Wellesley-Cambridge Press, Wellesley, MA, Revised Edition, 1998. (Required). - M. Vetterli, J. Kovacevic, and V. Goyal,
*Foundations of Signal Processing*and*Fourier and Wavelet Signal Processing*, Cambridge University Press, to be published.

- G. Strang and T. Q. Nguyen,

**Additional References**- P. P. Vaidyanathan,
*Multirate Systems and Filter Banks,*Prentice Hall, Englewood Cliffs, NJ, 1993. - C. S. Burrus, Ramesh A. Gopinath, and Haitao Guo,
*Introduction to Wavelets and Wavelet Transforms : A Primer,*Prentice Hall, 1997. - A. N. Akansu and M. J. T. Smith (Editors),
*Subband and Wavelet Transforms : Design and Applications,*Kluwer Academic, 1996. - L. Cohen,
*Time-Frequency Analysis,*Prentice-Hall, 1995. - C. K. Chui,
*An Introduction to Wavelets,*Academic Press, 1992. - R. E. Crochiere and L. R. Rabiner,
*Multirate Digital Signal Processing,*Prentice Hall, 1983. - I. Daubechies,
*Ten Lectures on Wavelets,*CBMS-NSF, SIAM, 1992. - G. Kaiser,
*A Friendly Guide to Wavelets,*Birkhauser, 1994. - S. Mallat,
*A Wavelet Tour of Signal Processing,*Academic Press, Second Edition, 1999. - H. S. Malvar,
*Signal Processing with Lapped Transforms,*Artech House, 1992. - K. R. Rao and P. Yip,
*Discrete Cosine Transform: Algorithms, Advantages, Applications,*Academic Press, 1990. - R. M. Rao and A. S. Bopardikar,
*Wavelet Transforms: Introduction to Theory and Applications,*Addison-Wesley, 1998. - B. W. Suter,
*Multirate and Wavelet Signal Processing,*Academic Press, 1998. - P. N. Topiwala (Editor),
*Wavelet Image and Video Compression,*Kluwer Academic, 1998.

- P. P. Vaidyanathan,

**Topics**- Multirate Signal Processing: filter banks, multirate systems, filtering, decimation, upsampling, polyphase, perfect reconstruction, aliasing cancellation, signal representation and signal decomposition using vectors and matrices.
- Wavelets: wavelets from filter banks, bases, frames, orthogonality and biorthogonality, multiresolution, smoothness, vanishing moments, time-frequency and time-scale analysis, continuous-time and discrete-time wavelet transform, famous wavelet pairs, wavelet packet, symmetric extensions, complexity issues.
- Design methods: spectral factorization, polyphase matrix factorization, lattice structure, ladder structure (lifting scheme), integer wavelets, cosine modulation, time-domain optimization.
- Applications: Audio/Image/Video compression -- lossy and lossless, subband coding, quantization effect, signal denoising, wavelet shrinkage, inverse halftoning, database retrieval and indexing, multicarrier modulation, transmultiplexers, edge detection.
- Connections to compressed sensing, sparse recovery, convolutional neural networks, deep learning!

**Final Project**- Students are expected to work on a related topic of choice.
- The topic can be chosen from a list of suggestions provided by the instructor.
- A final project report and an oral demonstration/presentation are required from each project.

**Grading**- Midterm Exams: 50%
- Homework / Class Participation: 25%
- Final Project: 25%

**Important Dates**- First lecture: Thurs - Fri, 08/30 - 08/31/2018, 11:00AM, Shaffer 304
- No class on Monday, 09/03/2018

**Ethics Issues**- Please read the information provided by the Ethics Board.
- Midterm Exam will be closed book and closed notes. One 8.5 x 11 handwritten formula sheet will be permitted.
- On homework and projects, you are permitted to discuss the problems for clarification purposes, and to help each other with specific points. However, the overall solution and write-up should be your own work.