컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0487 |
|---|---|
| 분류(Section) | Poster Session |
| 분과(Session) | Analysis (real / complex / harmonic analysis) (SS-08) |
| 영문제목 (Title(Eng.)) |
Some approximation estimates for time-frequency localization functions |
| 저자(Author(s)) |
Gino Angelo Velasco1, Hans G. Feichtinger2, Monika Dörfler2 Institute of Mathematics, College of Science, University of the Philippines, Diliman, Quezon City Philippines1, Numerical Harmonic Analysis Group, Faculty of Mathematics, University of Vienna, Austria2 |
| 초록본문(Abstract) | We study the approximation of functions localized on a region in the time-frequency domain from local samples of the short-time Fourier transform. Using a local Gabor approximation of the function, we obtain an error estimate in terms of a joint time-frequency concentration measure. We also consider the projections onto a subspace of eigenfunctions of time-frequency localization operators, and show that the local Gabor system satisfy a frame-like inequality on the subspace. |
| 분류기호 (MSC number(s)) |
42C15, 94A20 |
| 키워드(Keyword(s)) | time-frequency localization, short-time Fourier transform, Gabor |
| 강연 형태 (Language of Session (Talk)) |
English |