A Short Note on Wavelet Frames Based on FMRA on Local Fields
The concept of frame multiresolution analysis (FMRA) on local fields of positive characteristic was given by Shah in his paper, Frame Multiresolution Analysis on Local Fields published by Journal of Operators. The author has studied the concept of minimum-energy wavelet frames on these prime charact...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/3957064 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849307517489774592 |
|---|---|
| author | M. Younus Bhat |
| author_facet | M. Younus Bhat |
| author_sort | M. Younus Bhat |
| collection | DOAJ |
| description | The concept of frame multiresolution analysis (FMRA) on local fields of positive characteristic was given by Shah in his paper, Frame Multiresolution Analysis on Local Fields published by Journal of Operators. The author has studied the concept of minimum-energy wavelet frames on these prime characteristic fields. We continued the studies based on frame multiresolution analysis and minimum-energy wavelet frames on local fields of positive characteristic. In this paper, we introduce the notion of the construction of minimum-energy wavelet frames based on FMRA on local fields of positive characteristic. We provide a constructive algorithm for the existence of the minimum-energy wavelet frame on the local field of positive characteristic. An explicit construction of the frames and bases is given. In the end, we exhibit an example to illustrate our algorithm. |
| format | Article |
| id | doaj-art-2af4b7a014a14a7eba96f7cfb2fa7b28 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-2af4b7a014a14a7eba96f7cfb2fa7b282025-08-20T03:54:43ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/39570643957064A Short Note on Wavelet Frames Based on FMRA on Local FieldsM. Younus Bhat0Department of Mathematical Sciences, Islamic University of Science and Technology, Awantipora, Pulwama, Jammu and Kashmir 192122, IndiaThe concept of frame multiresolution analysis (FMRA) on local fields of positive characteristic was given by Shah in his paper, Frame Multiresolution Analysis on Local Fields published by Journal of Operators. The author has studied the concept of minimum-energy wavelet frames on these prime characteristic fields. We continued the studies based on frame multiresolution analysis and minimum-energy wavelet frames on local fields of positive characteristic. In this paper, we introduce the notion of the construction of minimum-energy wavelet frames based on FMRA on local fields of positive characteristic. We provide a constructive algorithm for the existence of the minimum-energy wavelet frame on the local field of positive characteristic. An explicit construction of the frames and bases is given. In the end, we exhibit an example to illustrate our algorithm.http://dx.doi.org/10.1155/2020/3957064 |
| spellingShingle | M. Younus Bhat A Short Note on Wavelet Frames Based on FMRA on Local Fields Journal of Mathematics |
| title | A Short Note on Wavelet Frames Based on FMRA on Local Fields |
| title_full | A Short Note on Wavelet Frames Based on FMRA on Local Fields |
| title_fullStr | A Short Note on Wavelet Frames Based on FMRA on Local Fields |
| title_full_unstemmed | A Short Note on Wavelet Frames Based on FMRA on Local Fields |
| title_short | A Short Note on Wavelet Frames Based on FMRA on Local Fields |
| title_sort | short note on wavelet frames based on fmra on local fields |
| url | http://dx.doi.org/10.1155/2020/3957064 |
| work_keys_str_mv | AT myounusbhat ashortnoteonwaveletframesbasedonfmraonlocalfields AT myounusbhat shortnoteonwaveletframesbasedonfmraonlocalfields |