Wavelet Transform with Applications in Engineering
Release time: 2015-04-17   viewed: 233

Wavelet Transform with Applications in Engineering

Term: Fall semester; Credit: 2

Instructor:  Prof. Ruqiang Yan


Signals and Systems

Digital Signal Processing

Course Description:

This course introduces the subject of wavelet transform: a non-stationary signal processing technique, to graduate major in Instrument and Meter Engineering and related field with the goal of having them solve real-world problems. The focus of the course is on fundamental theory as well as real-world examples. The students will be required to give a case study presentation and finish a final course project. Topics covered in this course include:

  • Fundamentals on signals and signal processing

  • From Fourier transform to wavelet transform: A historical perspective

  • Continuous wavelet transform

  • Discrete wavelet transform

  • Wavelet packet transform

  • Second generation wavelet transform

  • Wavelet applications in engineering

  • Recent advance in wavelet theory


  1. Robert X. Gao and Ruqiang Yan, Wavelets: Theory and Applications for Manufacturing, Springer, 2010.

Reference Book:

  1. Stephane Mallat, A Wavelet Tour of Signal Processing, 2nd edition, Academic Press, 1999

  2. Ingrid Daubechies, Ten Lectures on Wavelets, SIAM: Society for Industrial and Applied Mathematics, 1992.

  3. Fusheng Yang, Wavelet Transform: Engineering Analysis and Applications, Science Press, 1999.

  4. Yuhua Peng, Wavelet Transform and Its Applications in Engineering, Science Press, 1999.

Grading Policy:

  • Case Study Presentation30%

  • Final Project Report70%

Appendix: Information on Case Study

To help gain insight into how the wavelet transform technique has been practiced in various research disciplines as well as in industrial applications, each student-team is required to conduct a case study for this course, based on published literature. Each case study should: 1) provide a clear overview of the state-of-the-art of wavelet research and applications in the specific topic area, and 2) identify specific issues of interest for future research. The result of each case study will be presented by the student teams to the class in an oral presentation.

Following topics are suggested for case study:

  1. Wavelet transform for machine health diagnosis

  2. Wavelet transform for civil structural health monitoring

  3. Wavelet transform for bio-signal analysis

  4. Wavelet transform in instrumentation and measurement

  5. Or any wavelet topics related to your own research

Each case study presentation is limited to 40 minutes, with 5 minutes Q&A at the end of the presentation. Both team members need to talk.  Evaluation of the presentation will be based on the following criteria:

  • Organization and clarity of the talk

  • Group coordination

  • Depth of technical content

  • Quality of visual aids

  • Answer to questions


A written report of at least 6 pages with properly formatted figures and tables, together with the PowerPoint slides, need to be submitted after the presentation. The report should be submitted to:


Professor Ruqiang Yan

School of Instrument Science and Engineering

Southeast University

Central Building 528

No.2 Sipailou, Nanjing 210096  


It should be configured as a paper in Chinese, containing a title, information on authors, an Abstract, Introduction to the objective of the case study performed, Description of the technical issues involved, Analysis and Discussion of the results, and a Conclusion section with suggested future work in the specific topic area.  The report should be formatted with a 2.5 cm-margins for an 24 x 742.5px sheet of paper, single column, 1.5 lines spaced, in 11-point font.    

The case study counts for 30% of the final grade.