Chicago, Illinois
June 18, 2006
June 18, 2006
June 21, 2006
2153-5965
Engineering Technology
8
11.903.1 - 11.903.8
10.18260/1-2--656
https://peer.asee.org/656
900
Robert Adams is an Assistant Professor of Electrical and Computer Engineering Technology in the School of Technology at Western Carolina University. His research interests include mathematical modeling of electrocardiographic applications, 3D modeling, and digital signal processing. Dr. Adams is a senior member of IEEE and a member of ASEE.
James Z. Zhang is an Assistant Professor of Electrical Engineering in the Kimmel School of Construction Management, Engineering and Technology at Western Carolina University. Dr. Zhang's research interests include Communications Theory, Wireless Networks, Bandwidth Efficient Modulation Schemes, Signal Design and Information Coding, and Digital Signal Processing Techniques for Communications. Dr. Zhang is a senior member of IEEE and a member of ASEE.
Mark Azadpour is an Assistant Professor in the School of Technology at Western Carolina University. His research interests include embedded, storage, and DSP systems as well as VLSI design and verification techniques. Dr. Azadpour is a member of IEEE.
Lossless Image Decomposition and Reconstruction Using Haar Wavelets in Matlab R
for ECET Students
Abstract
A method for introducing the topic of lossless image decomposition and reconstruction to ECET students is presented. The definition and frequency selective properties of the Haar wavelet is introduced. In addition, the application of Haar wavelets to the decomposition and reconstruction of a 1-dimensional signal is explained and serves as a stepping stone to discussing the application to digital images.
Introduction
In the past few years, the authors reported their efforts of enhancing students’ learning by utilizing a systems approach [1] - [4]. These methods focus on the functionality of system blocks to improve students’ understanding of system performance parameters. Positive results have been observed in strengthening students knowledge development on certain subjects.
The systems approach has been applied to the development of engineering algorithms. In the Spring semester of 2005, we initiated a project in a Digital Signal Processing class to implement a Matlab R algorithm that would produce lossless decomposition and reconstruction of a digital image using wavelets. The reason we chose this topic is twofold. First, the project allows the student to subdivide two complicated processes into managable system blocks. This training will be helpful when the ECET student graduates and takes on the challenges of the engineering community. Second, the project permits testing and detection of algorithm errors at the output of each system block. This is due to the fact that decomposition and reconstruction are identically reverse processes, which provide the capability for comparison of the output at each stage of decomposition with that of reconstruction. Lastly, the use of images allows the student to visualize the effects of each system block, and thereby gain an understanding of the function of each block. This article reports on some results in introducing this topic into a Digital Signal Processing class. Upon completion, this experimental design is intended to be used in our Microcontroller course for hardware implementation.
Adams, R., & Zhang, J., & Azadpour, M. (2006, June), Lossless Image Decomposition And Reconstruction Using Haar Wavelets In Matlab For Ecet Students Paper presented at 2006 Annual Conference & Exposition, Chicago, Illinois. 10.18260/1-2--656
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