Wavelet Applications in Chemical Engineering

1. Front Matter

   Pages i-xiii

   PDF

2. Introduction to Wavelet Transform and Time-Frequency Analysis

   • Xue-dong Dai, B. Joseph, R. L. Motard

   Pages 1-32

3. Computational Aspects of Wavelets and Wavelet Transforms

   • S. Palavajjhala, R. L. Motard, B. Joseph

   Pages 33-83

4. Trend Analysis Using the Frazier-Jawerth Transform

   • A. Joshi, A. Kumar, R. L. Motard

   Pages 85-113

5. Process Signal Features Analysis

   • Xue-dong Dai, B. Joseph, R. L. Motard

   Pages 115-137

6. Learning at Multiple Resolutions: Wavelets as Basis Functions in Artificial Neural Networks, and Inductive Decision Trees

   • Bhavik R. Bakshi, Alexandros Koulouris, George Stephanopoulos

   Pages 139-174

7. Application of Wavelets in Process Control

   • Yugender Chikkula, Jay H. Lee

   Pages 175-208

8. Use of Wavelets for Numerical Solution of Differential Equations

   • Michael Nikolaou, Yong You

   Pages 209-274

9. A Parallel Two-Dimensional Wavelet Packet Transform and Some Applications in Computing and Compression Analysis

   • Eric Goirand, Mladen Victor Wickerhauser, Marie Farge

   Pages 275-319

10. Back Matter

    Pages 321-323

    PDF

Increasing emphasis on safety, productivity and quality control has provided an impetus to research on better methodologies for fault diagnosis, modeling, identification, control and optimization ofchemical process systems. One of the biggest challenges facing the research community is the processing of raw sensordata into meaningful information. Wavelet analysis is an emerging field of mathematics that has provided new tools and algorithms suited for the type of problems encountered in process monitoring and control. The concept emerged in the geophysical field as a result ofthe need for time-frequency analytical techniques. It has since been picked up by mathematicians and recognized as a unifying theory for many ofthe methodologies employed in the past in physics and signal processing. l Meyer states: "Wavelets are without doubt an exciting and intuitive concept. The concept brings with it a new way of thinking, which is absolutely essential and was entirely missing in previously existing algorithms. " The unification ofthe theory from these disciplines has led to applications of wavelet transforms in many areas ofscience and engineering including: • pattern recognition • signal analysis • time-frequency decomposition • process signal characterization and representation • process system modeling and identification • control system design, analysis and implementation • numerical solution ofdifferential equations • matrix manipulation About a year ago, in talking to various colleagues and co-workers, it became clear that a number of chemical engineers were fascinated with this new concept.

• algorithms
• chemical engineering
• control
• differential equation
• identification
• information
• mathematics
• modeling
• optimization
• processing
• quality
• sensor
• signal
• signal analysis
• signal processing

• Washington University in St. Louis, St. Louis, USA

  Rodolphe L. Motard, Babu Joseph

Policies and ethics