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Table of Contents:

Chapter 1: Introduction
1.1 Background of the Study
1.2 Statement of the Problem
1.3 Objectives of the Study
1.4 Research Questions
1.5 Significance of the Study
1.6 Limitations of the Study
1.7 Scope of the Study

Chapter 2: Literature Review
2.1 Overview of Wavelets
2.2 Refinable Functions
2.3 Constructing wavelets from Refinable Functions
2.4 Previous Studies on Wavelets and Refinable Functions

Chapter 3: Research Methodology
3.1 Research Design
3.2 Data Collection Methods
3.3 Data Analysis Techniques
3.4 Sampling Procedure
3.5 Research Instruments

Chapter 4: Discussion of Findings
4.1 Analysis of Data
4.2 Interpretation of Results
4.3 Comparison with Existing Literature
4.4 Implications of the Findings

Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Conclusion
5.3 Recommendations for Future Research

Overview of Thesis:

The thesis “Constructing wavelets from refinable functions” focuses on the construction of wavelets using refinable functions. The study aims to explore the relationship between wavelets and refinable functions and how wavelets can be constructed from these functions. The research methodology involves a review of existing literature on wavelets and refinable functions, analysis of data, and interpretation of results.

The literature review covers the concepts of wavelets and refinable functions, as well as previous studies on constructing wavelets from refinable functions. The discussion of findings includes an analysis of data, interpretation of results, and implications of the findings. The conclusion summarises the key findings of the study and provides recommendations for future research in this area.

Overall, the thesis aims to contribute to the understanding of wavelets and refinable functions and provide insights into the construction of wavelets from these functions.

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