A new insight into Wavelet Transforms using the concepts of Frame Theory
Journal: INTERNATIONAL JOURNAL OF COMPUTERS & TECHNOLOGY (Vol.12, No. 9)Publication Date: 2014-03-14
Authors : Tuhin Utsab Paul; Sayantan Chakraborty; Saikat Mukhopadhyay; Samir K. Bandhyopadhyay;
Page : 3860-3874
Keywords : Wavelet transform; Frame theory; Frame operators; Multiresolution analysis; Heinsenbergsbox; Fourier transform.;
Abstract
Wavelet analysis being a relatively new subject of study is being explored, all around the globe, using various mathematical tools, currently available. This paper is a humble attempt to provide a comprehensive study of the same, by means of exhaustive mathematical analysis. Since frame theory has been established as a standard notion in applied mathematics, so it was used as the analytical tool to explain the formation, purpose and use of wavelets. The theoretical explanation follows the mathematical analysis, which is an attempt to give picture the ‘theorems’, ‘definitions’ and the ‘lemmas’.
Other Latest Articles
- ANNOTATIONS IN E-LEARNING
- Hybrid Heuristic Algorithm for solving Capacitated Vehicle Routing problem
- STUDY OF BUSINESS INTELLIGENCE SYSTEM QUALITY
- Persuasion Processes in Consumer Intent to Read Online Product Reviews: A Study Based on the Elaboration Likelihood Model
- SOADM: A Design Architectural Method for Service-as-a-Software
Last modified: 2016-06-29 18:05:03