Comparison of discrete and continuous wavelet transforms

Abstract

Article Outline: Glossary Definition of the Subject Introduction The Discrete vs. Continuous Wavelet Algorithms List of Names and Discoveries History Tools from Mathematics A Transfer Operator Future Directions Literature Acknowledgments Bibliography This glossary consists of a list of terms used inside the paper in mathematics, in probability, in engineering, and, on occasion, in physics. To clarify the seemingly confusing use of up to four different names for the same idea or concept, we have further added informal explanations spelling out the reasons behind the differences in current terminology from neighboring fields. Disclaimer: This glossary has the structure offour areas. A number of terms are listed line by line, and each line is followed byexplanation. Some terms have up to four separate (yet commonly accepted)names.