摘要
Generalization of the Discrete Stockwell Transform (GDST) provides a constructive framework to unify and expand various existing discrete Stockwell transforms. Under the developed framework, we are able to flexibly adjust the time/frequency sampling resolution, tailor the amount of information redundancy and computational complexity, reserve the absolutely reference phases as well. In this paper, we propose an admissible condition and prove that any GDST satisfy this condition will constitute a frame in the Hilbert Space, which guides us to derive the explicit formula for the inverse of GDST through finding its canonical dual frame.
| 源语言 | 英语 |
|---|---|
| 主期刊名 | ICSIDP 2019 - IEEE International Conference on Signal, Information and Data Processing 2019 |
| 出版商 | Institute of Electrical and Electronics Engineers Inc. |
| ISBN（电子版） | 9781728123455 |
| DOI | |
| 出版状态 | 已出版 - 12月 2019 |
| 活动 | 2019 IEEE International Conference on Signal, Information and Data Processing, ICSIDP 2019 - Chongqing, 中国 期限: 11 12月 2019 → 13 12月 2019 |
出版系列
| 姓名 | ICSIDP 2019 - IEEE International Conference on Signal, Information and Data Processing 2019 |
|---|
会议
| 会议 | 2019 IEEE International Conference on Signal, Information and Data Processing, ICSIDP 2019 |
|---|---|
| 国家/地区 | 中国 |
| 市 | Chongqing |
| 时期 | 11/12/19 → 13/12/19 |
指纹
探究 'The GDST Frame and Inverse Transforms' 的科研主题。它们共同构成独一无二的指纹。引用此
Yan, Y., & Zhu, H. (2019). The GDST Frame and Inverse Transforms. 在 ICSIDP 2019 - IEEE International Conference on Signal, Information and Data Processing 2019 文章 9173153 (ICSIDP 2019 - IEEE International Conference on Signal, Information and Data Processing 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICSIDP47821.2019.9173153